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1. Lawson Criterion for Ignition Exceeded in an Inertial Fusion Experiment

Author: Abu-Shawareb, H, Acree, R, Adams, P, Adams, J, Addis, B, Aden, R, Adrian, P, Afeyan, BB, Aggleton, M, Aghaian, L, Aguirre, A, Aikens, D, Akre, J, Albert, F, Albrecht, M, Albright, BJ, Albritton, J, Alcala, J, Alday, C, Alessi, DA, Alexander, N, Alfonso, J, Alfonso, N, Alger, E, Ali, SJ, Ali, ZA, Alley, WE, Amala, P, Amendt, PA, Amick, P, Ammula, S, Amorin, C, Ampleford, DJ, Anderson, RW, Anklam, T, Antipa, N, Appelbe, B, Aracne-Ruddle, C, Araya, E, Arend, M, Arnold, P, Arnold, T, Asay, J, Atherton, LJ, Atkinson, D, Atkinson, R, Auerbach, JM, Austin, B, Auyang, L, Awwal, AS, Ayers, J, Ayers, S, Ayers, T, Azevedo, S, Bachmann, B, Back, CA, Bae, J, Bailey, DS, Bailey, J, Baisden, T, Baker, KL, Baldis, H, Barber, D, Barberis, M, Barker, D, Barnes, A, Barnes, CW, Barrios, MA, Barty, C, Bass, I, Batha, SH, Baxamusa, SH, Bazan, G, Beagle, JK, Beale, R, Beck, BR, Beck, JB, Bedzyk, M, Beeler, RG, Behrendt, W, Belk, L, Bell, P, Belyaev, M, Benage, JF, Bennett, G, Benedetti, LR, Benedict, LX, Berger, R, Bernat, T, Bernstein, LA, Berry, B, Bertolini, L, Besenbruch, G, Betcher, J, Bettenhausen, R, Betti, R, Bezzerides, B, Bhandarkar, SD, Bickel, R, Biener, J, Biesiada, T, Bigelow, K, Bigelow-Granillo, J, Bigman, V, Bionta, RM, Birge, NW, Bitter, M, Black, AC, Bleile, R, Bleuel, DL, Bliss, E, Blue, B, Boehly, T, Boehm, K, Boley, CD, Bonanno, R, Bond, EJ, Bond, T, Bonino, MJ, Borden, M, Bourgade, J-L, Bousquet, J, Bowers, J, Bowers, M, Boyd, R, Bozek, A, Bradley, DK, Bradley, KS, Bradley, PA, Bradley, L, Brannon, L, Brantley, PS, Braun, D, Braun, T, Brienza-Larsen, K, Briggs, TM, Britten, J, Brooks, ED, Browning, D, Bruhn, MW, Brunner, TA, Bruns, H, Brunton, G, Bryant, B, Buczek, T, Bude, J, Buitano, L, Burkhart, S, Burmark, J, Burnham, A, Burr, R, Busby, LE, Butlin, B, Cabeltis, R, Cable, M, Cabot, WH, Cagadas, B, Caggiano, J, Cahayag, R, Caldwell, SE, Calkins, S, Callahan, DA, Calleja-Aguirre, J, Camara, L, Camp, D, Campbell, EM, Campbell, JH, Carey, B, Carey, R, Carlisle, K, Carlson, L, Carman, L, Carmichael, J, Carpenter, A, Carr, C, Carrera, JA, Casavant, D, Casey, A, Casey, DT, Castillo, A, Castillo, E, Castor, JI, Castro, C, Caughey, W, Cavitt, R, Celeste, J, Celliers, PM, Cerjan, C, Chandler, G, Chang, B, Chang, C, Chang, J, Chang, L, Chapman, R, Chapman, T, Chase, L, Chen, H, Chen, K, Chen, L-Y, Cheng, B, Chittenden, J, Choate, C, Chou, J, Chrien, RE, Chrisp, M, Christensen, K, Christensen, M, Christopherson, AR, Chung, M, Church, JA, Clark, A, Clark, DS, Clark, K, Clark, R, Claus, L, Cline, B, Cline, JA, Cobble, JA, Cochrane, K, Cohen, B, Cohen, S, Collette, MR, Collins, G, Collins, LA, Collins, TJB, Conder, A, Conrad, B, Conyers, M, Cook, AW, Cook, D, Cook, R, Cooley, JC, Cooper, G, Cope, T, Copeland, SR, Coppari, F, Cortez, J, Cox, J, Crandall, DH, Crane, J, Craxton, RS, Cray, M, Crilly, A, Crippen, JW, Cross, D, Cuneo, M, Cuotts, G, Czajka, CE, Czechowicz, D, Daly, T, Danforth, P, Darbee, R, Darlington, B, Datte, P, Dauffy, L, Davalos, G, Davidovits, S, Davis, P, Davis, J, Dawson, S, Day, RD, Day, TH, Dayton, M, Deck, C, Decker, C, Deeney, C, DeFriend, KA, Deis, G, Delamater, ND, Delettrez, JA, Demaret, R, Demos, S, Dempsey, SM, Desjardin, R, Desjardins, T, Desjarlais, MP, Dewald, EL, DeYoreo, J, Diaz, S, Dimonte, G, Dittrich, TR, Divol, L, Dixit, SN, Dixon, J, Dodd, ES, Dolan, D, Donovan, A, Donovan, M, Döppner, T, Dorrer, C, Dorsano, N, Douglas, MR, Dow, D, Downie, J, Downing, E, Dozieres, M, Draggoo, V, Drake, D, Drake, RP, Drake, T, Dreifuerst, G, DuBois, DF, DuBois, PF, Dunham, G, Dylla-Spears, R, Dymoke-Bradshaw, AKL, Dzenitis, B, Ebbers, C, Eckart, M, Eddinger, S, Eder, D, Edgell, D, Edwards, MJ, Efthimion, P, Eggert, JH, Ehrlich, B, Ehrmann, P, Elhadj, S, Ellerbee, C, Elliott, NS, Ellison, CL, Elsner, F, Emerich, M, Engelhorn, K, England, T, English, E, Epperson, P, Epstein, R, Erbert, G, Erickson, MA, Erskine, DJ, Erlandson, A, Espinosa, RJ, Estes, C, Estabrook, KG, Evans, S, Fabyan, A, Fair, J, Fallejo, R, Farmer, N, Farmer, WA, Farrell, M, Fatherley, VE, Fedorov, M, Feigenbaum, E, Feit, M, Ferguson, W, Fernandez, JC, Fernandez-Panella, A, Fess, S, Field, JE, Filip, CV, Fincke, JR, Finn, T, Finnegan, SM, Finucane, RG, Fischer, M, Fisher, A, Fisher, J, Fishler, B, Fittinghoff, D, Fitzsimmons, P, Flegel, M, Flippo, KA, Florio, J, Folta, J, Folta, P, Foreman, LR, Forrest, C, Forsman, A, Fooks, J, Foord, M, Fortner, R, Fournier, K, Fratanduono, DE, Frazier, N, Frazier, T, Frederick, C, Freeman, MS, Frenje, J, Frey, D, Frieders, G, Friedrich, S, Froula, DH, Fry, J, Fuller, T, Gaffney, J, Gales, S, Le Galloudec, B, Le Galloudec, KK, Gambhir, A, Gao, L, Garbett, WJ, Garcia, A, Gates, C, Gaut, E, Gauthier, P, Gavin, Z, Gaylord, J, Geissel, M, Génin, F, Georgeson, J, Geppert-Kleinrath, H, Geppert-Kleinrath, V, Gharibyan, N, Gibson, J, Gibson, C, Giraldez, E, Glebov, V, Glendinning, SG, Glenn, S, Glenzer, SH, Goade, S, Gobby, PL, Goldman, SR, Golick, B, Gomez, M, Goncharov, V, Goodin, D, Grabowski, P, Grafil, E, Graham, P, Grandy, J, Grasz, E, Graziani, F, Greenman, G, Greenough, JA, Greenwood, A, Gregori, G, Green, T, Griego, JR, Grim, GP, Grondalski, J, Gross, S, Guckian, J, Guler, N, Gunney, B, Guss, G, Haan, S, Hackbarth, J, Hackel, L, Hackel, R, Haefner, C, Hagmann, C, Hahn, KD, Hahn, S, Haid, BJ, Haines, BM, Hall, BM, Hall, C, Hall, GN, Hamamoto, M, Hamel, S, Hamilton, CE, Hammel, BA, Hammer, JH, Hampton, G, Hamza, A, Handler, A, Hansen, S, Hanson, D, Haque, R, Harding, D, Harding, E, Hares, JD, Harris, DB, Harte, JA, Hartouni, EP, Hatarik, R, Hatchett, S, Hauer, AA, Havre, M, Hawley, R, Hayes, J, Hayes, S, Hayes-Sterbenz, A, Haynam, CA, Haynes, DA, Headley, D, Heal, A, Heebner, JE, Heerey, S, Heestand, GM, Heeter, R, Hein, N, Heinbockel, C, Hendricks, C, Henesian, M, Heninger, J, Henrikson, J, Henry, EA, Herbold, EB, Hermann, MR, Hermes, G, Hernandez, JE, Hernandez, VJ, Herrmann, MC, Herrmann, HW, Herrera, OD, Hewett, D, Hibbard, R, Hicks, DG, Hill, D, Hill, K, Hilsabeck, T, Hinkel, DE, Ho, DD, Ho, VK, Hoffer, JK, Hoffman, NM, Hohenberger, M, Hohensee, M, Hoke, W, Holdener, D, Holdener, F, Holder, JP, Holko, B, Holunga, D, Holzrichter, JF, Honig, J, Hoover, D, Hopkins, D, Berzak Hopkins, L, Hoppe, M, Hoppe, ML, Horner, J, Hornung, R, Horsfield, CJ, Horvath, J, Hotaling, D, House, R, Howell, L, Hsing, WW, Hu, SX, Huang, H, Huckins, J, Hui, H, Humbird, KD, Hund, J, Hunt, J, Hurricane, OA, Hutton, M, Huynh, KH-K, Inandan, L, Iglesias, C, Igumenshchev, IV, Izumi, N, Jackson, M, Jackson, J, Jacobs, SD, James, G, Jancaitis, K, Jarboe, J, Jarrott, LC, Jasion, D, Jaquez, J, Jeet, J, Jenei, AE, Jensen, J, Jimenez, J, Jimenez, R, Jobe, D, Johal, Z, Johns, HM, Johnson, D, Johnson, MA, Gatu Johnson, M, Johnson, RJ, Johnson, S, Johnson, SA, Johnson, T, Jones, K, Jones, O, Jones, M, Jorge, R, Jorgenson, HJ, Julian, M, Jun, BI, Jungquist, R, Kaae, J, Kabadi, N, Kaczala, D, Kalantar, D, Kangas, K, Karasiev, VV, Karasik, M, Karpenko, V, Kasarky, A, Kasper, K, Kauffman, R, Kaufman, MI, Keane, C, Keaty, L, Kegelmeyer, L, Keiter, PA, Kellett, PA, Kellogg, J, Kelly, JH, Kemic, S, Kemp, AJ, Kemp, GE, Kerbel, GD, Kershaw, D, Kerr, SM, Kessler, TJ, Key, MH, Khan, SF, Khater, H, Kiikka, C, Kilkenny, J, Kim, Y, Kim, Y-J, Kimko, J, Kimmel, M, Kindel, JM, King, J, Kirkwood, RK, Klaus, L, Klem, D, Kline, JL, Klingmann, J, Kluth, G, Knapp, P, Knauer, J, Knipping, J, Knudson, M, Kobs, D, Koch, J, Kohut, T, Kong, C, Koning, JM, Koning, P, Konior, S, Kornblum, H, Kot, LB, Kozioziemski, B, Kozlowski, M, Kozlowski, PM, Krammen, J, Krasheninnikova, NS, Kraus, B, Krauser, W, Kress, JD, Kritcher, AL, Krieger, E, Kroll, JJ, Kruer, WL, Kruse, MKG, Kucheyev, S, Kumbera, M, Kumpan, S, Kunimune, J, Kustowski, B, Kwan, TJT, Kyrala, GA, Laffite, S, Lafon, M, LaFortune, K, Lahmann, B, Lairson, B, Landen, OL, Langenbrunner, J, Lagin, L, Land, T, Lane, M, Laney, D, Langdon, AB, Langer, SH, Langro, A, Lanier, NE, Lanier, TE, Larson, D, Lasinski, BF, Lassle, D, LaTray, D, Lau, G, Lau, N, Laumann, C, Laurence, A, Laurence, TA, Lawson, J, Le, HP, Leach, RR, Leal, L, Leatherland, A, LeChien, K, Lechleiter, B, Lee, A, Lee, M, Lee, T, Leeper, RJ, Lefebvre, E, Leidinger, J-P, LeMire, B, Lemke, RW, Lemos, NC, Le Pape, S, Lerche, R, Lerner, S, Letts, S, Levedahl, K, Lewis, T, Li, CK, Li, H, Li, J, Liao, W, Liao, ZM, Liedahl, D, Liebman, J, Lindford, G, Lindman, EL, Lindl, JD, Loey, H, London, RA, Long, F, Loomis, EN, Lopez, FE, Lopez, H, Losbanos, E, Loucks, S, Lowe-Webb, R, Lundgren, E, Ludwigsen, AP, Luo, R, Lusk, J, Lyons, R, Ma, T, Macallop, Y, MacDonald, MJ, MacGowan, BJ, Mack, JM, Mackinnon, AJ, MacLaren, SA, MacPhee, AG, Magelssen, GR, Magoon, J, Malone, RM, Malsbury, T, Managan, R, Mancini, R, Manes, K, Maney, D, Manha, D, Mannion, OM, Manuel, AM, Mapoles, E, Mara, G, Marcotte, T, Marin, E, Marinak, MM, Mariscal, C, Mariscal, DA, Mariscal, EF, Marley, EV, Marozas, JA, Marquez, R, Marshall, CD, Marshall, FJ, Marshall, M, Marshall, S, Marticorena, J, Martinez, D, Maslennikov, I, Mason, D, Mason, RJ, Masse, L, Massey, W, Masson-Laborde, P-E, Masters, ND, Mathisen, D, Mathison, E, Matone, J, Matthews, MJ, Mattoon, C, Mattsson, TR, Matzen, K, Mauche, CW, Mauldin, M, McAbee, T, McBurney, M, Mccarville, T, McCrory, RL, McEvoy, AM, McGuffey, C, Mcinnis, M, McKenty, P, McKinley, MS, McLeod, JB, McPherson, A, Mcquillan, B, Meamber, M, Meaney, KD, Meezan, NB, Meissner, R, Mehlhorn, TA, Mehta, NC, Menapace, J, Merrill, FE, Merritt, BT, Merritt, EC, Meyerhofer, DD, Mezyk, S, Mich, RJ, Michel, PA, Milam, D, Miller, C, Miller, D, Miller, DS, Miller, E, Miller, EK, Miller, J, Miller, M, Miller, PE, Miller, T, Miller, W, Miller-Kamm, V, Millot, M, Milovich, JL, Minner, P, Miquel, J-L, Mitchell, S, Molvig, K, Montesanti, RC, Montgomery, DS, Monticelli, M, Montoya, A, Moody, JD, Moore, AS, Moore, E, Moran, M, Moreno, JC, Moreno, K, Morgan, BE, Morrow, T, Morton, JW, Moses, E, Moy, K, Muir, R, Murillo, MS, Murray, JE, Murray, JR, Munro, DH, Murphy, TJ, Munteanu, FM, Nafziger, J, Nagayama, T, Nagel, SR, Nast, R, Negres, RA, Nelson, A, Nelson, D, Nelson, J, Nelson, S, Nemethy, S, Neumayer, P, Newman, K, Newton, M, Nguyen, H, Di Nicola, J-MG, Di Nicola, P, Niemann, C, Nikroo, A, Nilson, PM, Nobile, A, Noorai, V, Nora, R, Norton, M, Nostrand, M, Note, V, Novell, S, Nowak, PF, Nunez, A, Nyholm, RA, O'Brien, M, Oceguera, A, Oertel, JA, Okui, J, Olejniczak, B, Oliveira, J, Olsen, P, Olson, B, Olson, K, Olson, RE, Opachich, YP, Orsi, N, Orth, CD, Owen, M, Padalino, S, Padilla, E, Paguio, R, Paguio, S, Paisner, J, Pajoom, S, Pak, A, Palaniyappan, S, Palma, K, Pannell, T, Papp, F, Paras, D, Parham, T, Park, H-S, Pasternak, A, Patankar, S, Patel, MV, Patel, PK, Patterson, R, Patterson, S, Paul, B, Paul, M, Pauli, E, Pearce, OT, Pearcy, J, Pedrotti, B, Peer, A, Pelz, LJ, Penetrante, B, Penner, J, Perez, A, Perkins, LJ, Pernice, E, Perry, TS, Person, S, Petersen, D, Petersen, T, Peterson, DL, Peterson, EB, Peterson, JE, Peterson, JL, Peterson, K, Peterson, RR, Petrasso, RD, Philippe, F, Phipps, TJ, Piceno, E, Ping, Y, Pickworth, L, Pino, J, Plummer, R, Pollack, GD, Pollaine, SM, Pollock, BB, Ponce, D, Ponce, J, Pontelandolfo, J, Porter, JL, Post, J, Poujade, O, Powell, C, Powell, H, Power, G, Pozulp, M, Prantil, M, Prasad, M, Pratuch, S, Price, S, Primdahl, K, Prisbrey, S, Procassini, R, Pruyne, A, Pudliner, B, Qiu, SR, Quan, K, Quinn, M, Quintenz, J, Radha, PB, Rainer, F, Ralph, JE, Raman, KS, Raman, R, Rambo, P, Rana, S, Randewich, A, Rardin, D, Ratledge, M, Ravelo, N, Ravizza, F, Rayce, M, Raymond, A, Raymond, B, Reed, B, Reed, C, Regan, S, Reichelt, B, Reis, V, Reisdorf, S, Rekow, V, Remington, BA, Rendon, A, Requieron, W, Rever, M, Reynolds, H, Reynolds, J, Rhodes, J, Rhodes, M, Richardson, MC, Rice, B, Rice, NG, Rieben, R, Rigatti, A, Riggs, S, Rinderknecht, HG, Ring, K, Riordan, B, Riquier, R, Rivers, C, Roberts, D, Roberts, V, Robertson, G, Robey, HF, Robles, J, Rocha, P, Rochau, G, Rodriguez, J, Rodriguez, S, Rosen, M, Rosenberg, M, Ross, G, Ross, JS, Ross, P, Rouse, J, Rovang, D, Rubenchik, AM, Rubery, MS, Ruiz, CL, Rushford, M, Russ, B, Rygg, JR, Ryujin, BS, Sacks, RA, Sacks, RF, Saito, K, Salmon, T, Salmonson, JD, Sanchez, J, Samuelson, S, Sanchez, M, Sangster, C, Saroyan, A, Sater, J, Satsangi, A, Sauers, S, Saunders, R, Sauppe, JP, Sawicki, R, Sayre, D, Scanlan, M, Schaffers, K, Schappert, GT, Schiaffino, S, Schlossberg, DJ, Schmidt, DW, Schmitt, MJ, Schneider, DHG, Schneider, MB, Schneider, R, Schoff, M, Schollmeier, M, Schölmerich, M, Schroeder, CR, Schrauth, SE, Scott, HA, Scott, I, Scott, JM, Scott, RHH, Scullard, CR, Sedillo, T, Seguin, FH, Seka, W, Senecal, J, Sepke, SM, Seppala, L, Sequoia, K, Severyn, J, Sevier, JM, Sewell, N, Seznec, S, Shah, RC, Shamlian, J, Shaughnessy, D, Shaw, M, Shaw, R, Shearer, C, Shelton, R, Shen, N, Sherlock, MW, Shestakov, AI, Shi, EL, Shin, SJ, Shingleton, N, Shmayda, W, Shor, M, Shoup, M, Shuldberg, C, Siegel, L, Silva, FJ, Simakov, AN, Sims, BT, Sinars, D, Singh, P, Sio, H, Skulina, K, Skupsky, S, Slutz, S, Sluyter, M, Smalyuk, VA, Smauley, D, Smeltser, RM, Smith, C, Smith, I, Smith, J, Smith, L, Smith, R, Sohn, R, Sommer, S, Sorce, C, Sorem, M, Soures, JM, Spaeth, ML, Spears, BK, Speas, S, Speck, D, Speck, R, Spears, J, Spinka, T, Springer, PT, Stadermann, M, Stahl, B, Stahoviak, J, Stanton, LG, Steele, R, Steele, W, Steinman, D, Stemke, R, Stephens, R, Sterbenz, S, Sterne, P, Stevens, D, Stevers, J, Still, CB, Stoeckl, C, Stoeffl, W, Stolken, JS, Stolz, C, Storm, E, Stone, G, Stoupin, S, Stout, E, Stowers, I, Strauser, R, Streckart, H, Streit, J, Strozzi, DJ, Suratwala, T, Sutcliffe, G, Suter, LJ, Sutton, SB, Svidzinski, V, Swadling, G, Sweet, W, Szoke, A, Tabak, M, Takagi, M, Tambazidis, A, Tang, V, Taranowski, M, Taylor, LA, Telford, S, Theobald, W, Thi, M, Thomas, A, Thomas, CA, Thomas, I, Thomas, R, Thompson, IJ, Thongstisubskul, A, Thorsness, CB, Tietbohl, G, Tipton, RE, Tobin, M, Tomlin, N, Tommasini, R, Toreja, AJ, Torres, J, Town, RPJ, Townsend, S, Trenholme, J, Trivelpiece, A, Trosseille, C, Truax, H, Trummer, D, Trummer, S, Truong, T, Tubbs, D, Tubman, ER, Tunnell, T, Turnbull, D, Turner, RE, Ulitsky, M, Upadhye, R, Vaher, JL, VanArsdall, P, VanBlarcom, D, Vandenboomgaerde, M, VanQuinlan, R, Van Wonterghem, BM, Varnum, WS, Velikovich, AL, Vella, A, Verdon, CP, Vermillion, B, Vernon, S, Vesey, R, Vickers, J, Vignes, RM, Visosky, M, Vocke, J, Volegov, PL, Vonhof, S, Von Rotz, R, Vu, HX, Vu, M, Wall, D, Wall, J, Wallace, R, Wallin, B, Walmer, D, Walsh, CA, Walters, CF, Waltz, C, Wan, A, Wang, A, Wang, Y, Wark, JS, Warner, BE, Watson, J, Watt, RG, Watts, P, Weaver, J, Weaver, RP, Weaver, S, Weber, CR, Weber, P, Weber, SV, Wegner, P, Welday, B, Welser-Sherrill, L, Weiss, K, Widmann, K, Wheeler, GF, Whistler, W, White, RK, Whitley, HD, Whitman, P, Wickett, ME, Widmayer, C, Wiedwald, J, Wilcox, R, Wilcox, S, Wild, C, Wilde, BH, Wilde, CH, Wilhelmsen, K, Wilke, MD, Wilkens, H, Wilkins, P, Wilks, SC, Williams, EA, Williams, GJ, Williams, W, Williams, WH, Wilson, DC, Wilson, B, Wilson, E, Wilson, R, Winters, S, Wisoff, J, Wittman, M, Wolfe, J, Wong, A, Wong, KW, Wong, L, Wong, N, Wood, R, Woodhouse, D, Woodruff, J, Woods, DT, Woods, S, Woodworth, BN, Wooten, E, Wootton, A, Work, K, Workman, JB, Wright, J, Wu, M, Wuest, C, Wysocki, FJ, Xu, H, Yamaguchi, M, Yang, B, Yang, ST, Yatabe, J, Yeamans, CB, Yee, BC, Yi, SA, Yin, L, Young, B, Young, CS, Young, CV, Young, P, Youngblood, K, Zacharias, R, Zagaris, G, Zaitseva, N, Zaka, F, Ze, F, Zeiger, B, Zika, M, Zimmerman, GB, Zobrist, T, Zuegel, JD, Zylstra, AB, Indirect Drive ICF Collaboration, Collaboration, Indirect Drive ICF, AWE Plc, Lawrence Livermore National Laboratory, and U.S Department of Energy
Subjects: General Physics, 02 Physical Sciences, General Physics and Astronomy, Indirect Drive ICF Collaboration, 01 Mathematical Sciences, 09 Engineering
Abstract: For more than half a century, researchers around the world have been engaged in attempts to achieve fusion ignition as a proof of principle of various fusion concepts. Following the Lawson criterion, an ignited plasma is one where the fusion heating power is high enough to overcome all the physical processes that cool the fusion plasma, creating a positive thermodynamic feedback loop with rapidly increasing temperature. In inertially confined fusion, ignition is a state where the fusion plasma can begin "burn propagation" into surrounding cold fuel, enabling the possibility of high energy gain. While "scientific breakeven" (i.e., unity target gain) has not yet been achieved (here target gain is 0.72, 1.37 MJ of fusion for 1.92 MJ of laser energy), this Letter reports the first controlled fusion experiment, using laser indirect drive, on the National Ignition Facility to produce capsule gain (here 5.8) and reach ignition by nine different formulations of the Lawson criterion.
Published: 2022

2. The impact of low-mode symmetry on inertial fusion energy output in the burning plasma state.

Author: Ralph JE, Ross JS, Zylstra AB, Kritcher AL, Robey HF, Young CV, Hurricane OA, Pak A, Callahan DA, Baker KL, Casey DT, Döppner T, Divol L, Hohenberger M, Pape SL, Patel PK, Tommasini R, Ali SJ, Amendt PA, Atherton LJ, Bachmann B, Bailey D, Benedetti LR, Berzak Hopkins L, Betti R, Bhandarkar SD, Biener J, Bionta RM, Birge NW, Bond EJ, Bradley DK, Braun T, Briggs TM, Bruhn MW, Celliers PM, Chang B, Chapman T, Chen H, Choate C, Christopherson AR, Clark DS, Crippen JW, Dewald EL, Dittrich TR, Edwards MJ, Farmer WA, Field JE, Fittinghoff D, Frenje J, Gaffney J, Gatu Johnson M, Glenzer SH, Grim GP, Haan S, Hahn KD, Hall GN, Hammel BA, Harte J, Hartouni E, Heebner JE, Hernandez VJ, Herrmann HW, Herrmann MC, Hinkel DE, Ho DD, Holder JP, Hsing WW, Huang H, Humbird KD, Izumi N, Jarrott LC, Jeet J, Jones O, Kerbel GD, Kerr SM, Khan SF, Kilkenny J, Kim Y, Geppert-Kleinrath H, Geppert-Kleinrath V, Kong C, Koning JM, Kroll JJ, Kruse MKG, Kustowski B, Landen OL, Langer S, Larson D, Lemos NC, Lindl JD, Ma T, MacDonald MJ, MacGowan BJ, Mackinnon AJ, MacLaren SA, MacPhee AG, Marinak MM, Mariscal DA, Marley EV, Masse L, Meaney KD, Meezan NB, Michel PA, Millot M, Milovich JL, Moody JD, Moore AS, Morton JW, Murphy TJ, Newman K, Di Nicola JG, Nikroo A, Nora R, Patel MV, Pelz LJ, Peterson JL, Ping Y, Pollock BB, Ratledge M, Rice NG, Rinderknecht HG, Rosen M, Rubery MS, Salmonson JD, Sater J, Schiaffino S, Schlossberg DJ, Schneider MB, Schroeder CR, Scott HA, Sepke SM, Sequoia K, Sherlock MW, Shin S, Smalyuk VA, Spears BK, Springer PT, Stadermann M, Stoupin S, Strozzi DJ, Suter LJ, Thomas CA, Town RPJ, Trosseille C, Tubman ER, Volegov PL, Weber CR, Widmann K, Wild C, Wilde CH, Van Wonterghem BM, Woods DT, Woodworth BN, Yamaguchi M, Yang ST, and Zimmerman GB
Abstract: Indirect Drive Inertial Confinement Fusion Experiments on the National Ignition Facility (NIF) have achieved a burning plasma state with neutron yields exceeding 170 kJ, roughly 3 times the prior record and a necessary stage for igniting plasmas. The results are achieved despite multiple sources of degradations that lead to high variability in performance. Results shown here, for the first time, include an empirical correction factor for mode-2 asymmetry in the burning plasma regime in addition to previously determined corrections for radiative mix and mode-1. Analysis shows that including these three corrections alone accounts for the measured fusion performance variability in the two highest performing experimental campaigns on the NIF to within error. Here we quantify the performance sensitivity to mode-2 symmetry in the burning plasma regime and apply the results, in the form of an empirical correction to a 1D performance model. Furthermore, we find the sensitivity to mode-2 determined through a series of integrated 2D radiation hydrodynamic simulations to be consistent with the experimentally determined sensitivity only when including alpha-heating., (© 2024. This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply.)
Published: 2024
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3. Achievement of Target Gain Larger than Unity in an Inertial Fusion Experiment.

Author: Abu-Shawareb H, Acree R, Adams P, Adams J, Addis B, Aden R, Adrian P, Afeyan BB, Aggleton M, Aghaian L, Aguirre A, Aikens D, Akre J, Albert F, Albrecht M, Albright BJ, Albritton J, Alcala J, Alday C, Alessi DA, Alexander N, Alfonso J, Alfonso N, Alger E, Ali SJ, Ali ZA, Allen A, Alley WE, Amala P, Amendt PA, Amick P, Ammula S, Amorin C, Ampleford DJ, Anderson RW, Anklam T, Antipa N, Appelbe B, Aracne-Ruddle C, Araya E, Archuleta TN, Arend M, Arnold P, Arnold T, Arsenlis A, Asay J, Atherton LJ, Atkinson D, Atkinson R, Auerbach JM, Austin B, Auyang L, Awwal AAS, Aybar N, Ayers J, Ayers S, Ayers T, Azevedo S, Bachmann B, Back CA, Bae J, Bailey DS, Bailey J, Baisden T, Baker KL, Baldis H, Barber D, Barberis M, Barker D, Barnes A, Barnes CW, Barrios MA, Barty C, Bass I, Batha SH, Baxamusa SH, Bazan G, Beagle JK, Beale R, Beck BR, Beck JB, Bedzyk M, Beeler RG, Beeler RG, Behrendt W, Belk L, Bell P, Belyaev M, Benage JF, Bennett G, Benedetti LR, Benedict LX, Berger RL, Bernat T, Bernstein LA, Berry B, Bertolini L, Besenbruch G, Betcher J, Bettenhausen R, Betti R, Bezzerides B, Bhandarkar SD, Bickel R, Biener J, Biesiada T, Bigelow K, Bigelow-Granillo J, Bigman V, Bionta RM, Birge NW, Bitter M, Black AC, Bleile R, Bleuel DL, Bliss E, Bliss E, Blue B, Boehly T, Boehm K, Boley CD, Bonanno R, Bond EJ, Bond T, Bonino MJ, Borden M, Bourgade JL, Bousquet J, Bowers J, Bowers M, Boyd R, Boyle D, Bozek A, Bradley DK, Bradley KS, Bradley PA, Bradley L, Brannon L, Brantley PS, Braun D, Braun T, Brienza-Larsen K, Briggs R, Briggs TM, Britten J, Brooks ED, Browning D, Bruhn MW, Brunner TA, Bruns H, Brunton G, Bryant B, Buczek T, Bude J, Buitano L, Burkhart S, Burmark J, Burnham A, Burr R, Busby LE, Butlin B, Cabeltis R, Cable M, Cabot WH, Cagadas B, Caggiano J, Cahayag R, Caldwell SE, Calkins S, Callahan DA, Calleja-Aguirre J, Camara L, Camp D, Campbell EM, Campbell JH, Carey B, Carey R, Carlisle K, Carlson L, Carman L, Carmichael J, Carpenter A, Carr C, Carrera JA, Casavant D, Casey A, Casey DT, Castillo A, Castillo E, Castor JI, Castro C, Caughey W, Cavitt R, Celeste J, Celliers PM, Cerjan C, Chandler G, Chang B, Chang C, Chang J, Chang L, Chapman R, Chapman TD, Chase L, Chen H, Chen H, Chen K, Chen LY, Cheng B, Chittenden J, Choate C, Chou J, Chrien RE, Chrisp M, Christensen K, Christensen M, Christiansen NS, Christopherson AR, Chung M, Church JA, Clark A, Clark DS, Clark K, Clark R, Claus L, Cline B, Cline JA, Cobble JA, Cochrane K, Cohen B, Cohen S, Collette MR, Collins GW, Collins LA, Collins TJB, Conder A, Conrad B, Conyers M, Cook AW, Cook D, Cook R, Cooley JC, Cooper G, Cope T, Copeland SR, Coppari F, Cortez J, Cox J, Crandall DH, Crane J, Craxton RS, Cray M, Crilly A, Crippen JW, Cross D, Cuneo M, Cuotts G, Czajka CE, Czechowicz D, Daly T, Danforth P, Danly C, Darbee R, Darlington B, Datte P, Dauffy L, Davalos G, Davidovits S, Davis P, Davis J, Dawson S, Day RD, Day TH, Dayton M, Deck C, Decker C, Deeney C, DeFriend KA, Deis G, Delamater ND, Delettrez JA, Demaret R, Demos S, Dempsey SM, Desjardin R, Desjardins T, Desjarlais MP, Dewald EL, DeYoreo J, Diaz S, Dimonte G, Dittrich TR, Divol L, Dixit SN, Dixon J, Do A, Dodd ES, Dolan D, Donovan A, Donovan M, Döppner T, Dorrer C, Dorsano N, Douglas MR, Dow D, Downie J, Downing E, Dozieres M, Draggoo V, Drake D, Drake RP, Drake T, Dreifuerst G, Drury O, DuBois DF, DuBois PF, Dunham G, Durocher M, Dylla-Spears R, Dymoke-Bradshaw AKL, Dzenitis B, Ebbers C, Eckart M, Eddinger S, Eder D, Edgell D, Edwards MJ, Efthimion P, Eggert JH, Ehrlich B, Ehrmann P, Elhadj S, Ellerbee C, Elliott NS, Ellison CL, Elsner F, Emerich M, Engelhorn K, England T, English E, Epperson P, Epstein R, Erbert G, Erickson MA, Erskine DJ, Erlandson A, Espinosa RJ, Estes C, Estabrook KG, Evans S, Fabyan A, Fair J, Fallejo R, Farmer N, Farmer WA, Farrell M, Fatherley VE, Fedorov M, Feigenbaum E, Fehrenbach T, Feit M, Felker B, Ferguson W, Fernandez JC, Fernandez-Panella A, Fess S, Field JE, Filip CV, Fincke JR, Finn T, Finnegan SM, Finucane RG, Fischer M, Fisher A, Fisher J, Fishler B, Fittinghoff D, Fitzsimmons P, Flegel M, Flippo KA, Florio J, Folta J, Folta P, Foreman LR, Forrest C, Forsman A, Fooks J, Foord M, Fortner R, Fournier K, Fratanduono DE, Frazier N, Frazier T, Frederick C, Freeman MS, Frenje J, Frey D, Frieders G, Friedrich S, Froula DH, Fry J, Fuller T, Gaffney J, Gales S, Le Galloudec B, Le Galloudec KK, Gambhir A, Gao L, Garbett WJ, Garcia A, Gates C, Gaut E, Gauthier P, Gavin Z, Gaylord J, Geddes CGR, Geissel M, Génin F, Georgeson J, Geppert-Kleinrath H, Geppert-Kleinrath V, Gharibyan N, Gibson J, Gibson C, Giraldez E, Glebov V, Glendinning SG, Glenn S, Glenzer SH, Goade S, Gobby PL, Goldman SR, Golick B, Gomez M, Goncharov V, Goodin D, Grabowski P, Grafil E, Graham P, Grandy J, Grasz E, Graziani FR, Greenman G, Greenough JA, Greenwood A, Gregori G, Green T, Griego JR, Grim GP, Grondalski J, Gross S, Guckian J, Guler N, Gunney B, Guss G, Haan S, Hackbarth J, Hackel L, Hackel R, Haefner C, Hagmann C, Hahn KD, Hahn S, Haid BJ, Haines BM, Hall BM, Hall C, Hall GN, Hamamoto M, Hamel S, Hamilton CE, Hammel BA, Hammer JH, Hampton G, Hamza A, Handler A, Hansen S, Hanson D, Haque R, Harding D, Harding E, Hares JD, Harris DB, Harte JA, Hartouni EP, Hatarik R, Hatchett S, Hauer AA, Havre M, Hawley R, Hayes J, Hayes J, Hayes S, Hayes-Sterbenz A, Haynam CA, Haynes DA, Headley D, Heal A, Heebner JE, Heerey S, Heestand GM, Heeter R, Hein N, Heinbockel C, Hendricks C, Henesian M, Heninger J, Henrikson J, Henry EA, Herbold EB, Hermann MR, Hermes G, Hernandez JE, Hernandez VJ, Herrmann MC, Herrmann HW, Herrera OD, Hewett D, Hibbard R, Hicks DG, Higginson DP, Hill D, Hill K, Hilsabeck T, Hinkel DE, Ho DD, Ho VK, Hoffer JK, Hoffman NM, Hohenberger M, Hohensee M, Hoke W, Holdener D, Holdener F, Holder JP, Holko B, Holunga D, Holzrichter JF, Honig J, Hoover D, Hopkins D, Berzak Hopkins LF, Hoppe M, Hoppe ML, Horner J, Hornung R, Horsfield CJ, Horvath J, Hotaling D, House R, Howell L, Hsing WW, Hu SX, Huang H, Huckins J, Hui H, Humbird KD, Hund J, Hunt J, Hurricane OA, Hutton M, Huynh KH, Inandan L, Iglesias C, Igumenshchev IV, Ivanovich I, Izumi N, Jackson M, Jackson J, Jacobs SD, James G, Jancaitis K, Jarboe J, Jarrott LC, Jasion D, Jaquez J, Jeet J, Jenei AE, Jensen J, Jimenez J, Jimenez R, Jobe D, Johal Z, Johns HM, Johnson D, Johnson MA, Gatu Johnson M, Johnson RJ, Johnson S, Johnson SA, Johnson T, Jones K, Jones O, Jones M, Jorge R, Jorgenson HJ, Julian M, Jun BI, Jungquist R, Kaae J, Kabadi N, Kaczala D, Kalantar D, Kangas K, Karasiev VV, Karasik M, Karpenko V, Kasarky A, Kasper K, Kauffman R, Kaufman MI, Keane C, Keaty L, Kegelmeyer L, Keiter PA, Kellett PA, Kellogg J, Kelly JH, Kemic S, Kemp AJ, Kemp GE, Kerbel GD, Kershaw D, Kerr SM, Kessler TJ, Key MH, Khan SF, Khater H, Kiikka C, Kilkenny J, Kim Y, Kim YJ, Kimko J, Kimmel M, Kindel JM, King J, Kirkwood RK, Klaus L, Klem D, Kline JL, Klingmann J, Kluth G, Knapp P, Knauer J, Knipping J, Knudson M, Kobs D, Koch J, Kohut T, Kong C, Koning JM, Koning P, Konior S, Kornblum H, Kot LB, Kozioziemski B, Kozlowski M, Kozlowski PM, Krammen J, Krasheninnikova NS, Krauland CM, Kraus B, Krauser W, Kress JD, Kritcher AL, Krieger E, Kroll JJ, Kruer WL, Kruse MKG, Kucheyev S, Kumbera M, Kumpan S, Kunimune J, Kur E, Kustowski B, Kwan TJT, Kyrala GA, Laffite S, Lafon M, LaFortune K, Lagin L, Lahmann B, Lairson B, Landen OL, Land T, Lane M, Laney D, Langdon AB, Langenbrunner J, Langer SH, Langro A, Lanier NE, Lanier TE, Larson D, Lasinski BF, Lassle D, LaTray D, Lau G, Lau N, Laumann C, Laurence A, Laurence TA, Lawson J, Le HP, Leach RR, Leal L, Leatherland A, LeChien K, Lechleiter B, Lee A, Lee M, Lee T, Leeper RJ, Lefebvre E, Leidinger JP, LeMire B, Lemke RW, Lemos NC, Le Pape S, Lerche R, Lerner S, Letts S, Levedahl K, Lewis T, Li CK, Li H, Li J, Liao W, Liao ZM, Liedahl D, Liebman J, Lindford G, Lindman EL, Lindl JD, Loey H, London RA, Long F, Loomis EN, Lopez FE, Lopez H, Losbanos E, Loucks S, Lowe-Webb R, Lundgren E, Ludwigsen AP, Luo R, Lusk J, Lyons R, Ma T, Macallop Y, MacDonald MJ, MacGowan BJ, Mack JM, Mackinnon AJ, MacLaren SA, MacPhee AG, Magelssen GR, Magoon J, Malone RM, Malsbury T, Managan R, Mancini R, Manes K, Maney D, Manha D, Mannion OM, Manuel AM, Manuel MJ, Mapoles E, Mara G, Marcotte T, Marin E, Marinak MM, Mariscal DA, Mariscal EF, Marley EV, Marozas JA, Marquez R, Marshall CD, Marshall FJ, Marshall M, Marshall S, Marticorena J, Martinez JI, Martinez D, Maslennikov I, Mason D, Mason RJ, Masse L, Massey W, Masson-Laborde PE, Masters ND, Mathisen D, Mathison E, Matone J, Matthews MJ, Mattoon C, Mattsson TR, Matzen K, Mauche CW, Mauldin M, McAbee T, McBurney M, Mccarville T, McCrory RL, McEvoy AM, McGuffey C, Mcinnis M, McKenty P, McKinley MS, McLeod JB, McPherson A, Mcquillan B, Meamber M, Meaney KD, Meezan NB, Meissner R, Mehlhorn TA, Mehta NC, Menapace J, Merrill FE, Merritt BT, Merritt EC, Meyerhofer DD, Mezyk S, Mich RJ, Michel PA, Milam D, Miller C, Miller D, Miller DS, Miller E, Miller EK, Miller J, Miller M, Miller PE, Miller T, Miller W, Miller-Kamm V, Millot M, Milovich JL, Minner P, Miquel JL, Mitchell S, Molvig K, Montesanti RC, Montgomery DS, Monticelli M, Montoya A, Moody JD, Moore AS, Moore E, Moran M, Moreno JC, Moreno K, Morgan BE, Morrow T, Morton JW, Moses E, Moy K, Muir R, Murillo MS, Murray JE, Murray JR, Munro DH, Murphy TJ, Munteanu FM, Nafziger J, Nagayama T, Nagel SR, Nast R, Negres RA, Nelson A, Nelson D, Nelson J, Nelson S, Nemethy S, Neumayer P, Newman K, Newton M, Nguyen H, Di Nicola JG, Di Nicola P, Niemann C, Nikroo A, Nilson PM, Nobile A, Noorai V, Nora RC, Norton M, Nostrand M, Note V, Novell S, Nowak PF, Nunez A, Nyholm RA, O'Brien M, Oceguera A, Oertel JA, Oesterle AL, Okui J, Olejniczak B, Oliveira J, Olsen P, Olson B, Olson K, Olson RE, Opachich YP, Orsi N, Orth CD, Owen M, Padalino S, Padilla E, Paguio R, Paguio S, Paisner J, Pajoom S, Pak A, Palaniyappan S, Palma K, Pannell T, Papp F, Paras D, Parham T, Park HS, Pasternak A, Patankar S, Patel MV, Patel PK, Patterson R, Patterson S, Paul B, Paul M, Pauli E, Pearce OT, Pearcy J, Pedretti A, Pedrotti B, Peer A, Pelz LJ, Penetrante B, Penner J, Perez A, Perkins LJ, Pernice E, Perry TS, Person S, Petersen D, Petersen T, Peterson DL, Peterson EB, Peterson JE, Peterson JL, Peterson K, Peterson RR, Petrasso RD, Philippe F, Phillion D, Phipps TJ, Piceno E, Pickworth L, Ping Y, Pino J, Piston K, Plummer R, Pollack GD, Pollaine SM, Pollock BB, Ponce D, Ponce J, Pontelandolfo J, Porter JL, Post J, Poujade O, Powell C, Powell H, Power G, Pozulp M, Prantil M, Prasad M, Pratuch S, Price S, Primdahl K, Prisbrey S, Procassini R, Pruyne A, Pudliner B, Qiu SR, Quan K, Quinn M, Quintenz J, Radha PB, Rainer F, Ralph JE, Raman KS, Raman R, Rambo PW, Rana S, Randewich A, Rardin D, Ratledge M, Ravelo N, Ravizza F, Rayce M, Raymond A, Raymond B, Reed B, Reed C, Regan S, Reichelt B, Reis V, Reisdorf S, Rekow V, Remington BA, Rendon A, Requieron W, Rever M, Reynolds H, Reynolds J, Rhodes J, Rhodes M, Richardson MC, Rice B, Rice NG, Rieben R, Rigatti A, Riggs S, Rinderknecht HG, Ring K, Riordan B, Riquier R, Rivers C, Roberts D, Roberts V, Robertson G, Robey HF, Robles J, Rocha P, Rochau G, Rodriguez J, Rodriguez S, Rosen MD, Rosenberg M, Ross G, Ross JS, Ross P, Rouse J, Rovang D, Rubenchik AM, Rubery MS, Ruiz CL, Rushford M, Russ B, Rygg JR, Ryujin BS, Sacks RA, Sacks RF, Saito K, Salmon T, Salmonson JD, Sanchez J, Samuelson S, Sanchez M, Sangster C, Saroyan A, Sater J, Satsangi A, Sauers S, Saunders R, Sauppe JP, Sawicki R, Sayre D, Scanlan M, Schaffers K, Schappert GT, Schiaffino S, Schlossberg DJ, Schmidt DW, Schmit PF, Smidt JM, Schneider DHG, Schneider MB, Schneider R, Schoff M, Schollmeier M, Schroeder CR, Schrauth SE, Scott HA, Scott I, Scott JM, Scott RHH, Scullard CR, Sedillo T, Seguin FH, Seka W, Senecal J, Sepke SM, Seppala L, Sequoia K, Severyn J, Sevier JM, Sewell N, Seznec S, Shah RC, Shamlian J, Shaughnessy D, Shaw M, Shaw R, Shearer C, Shelton R, Shen N, Sherlock MW, Shestakov AI, Shi EL, Shin SJ, Shingleton N, Shmayda W, Shor M, Shoup M, Shuldberg C, Siegel L, Silva FJ, Simakov AN, Sims BT, Sinars D, Singh P, Sio H, Skulina K, Skupsky S, Slutz S, Sluyter M, Smalyuk VA, Smauley D, Smeltser RM, Smith C, Smith I, Smith J, Smith L, Smith R, Smith R, Schölmerich M, Sohn R, Sommer S, Sorce C, Sorem M, Soures JM, Spaeth ML, Spears BK, Speas S, Speck D, Speck R, Spears J, Spinka T, Springer PT, Stadermann M, Stahl B, Stahoviak J, Stanley J, Stanton LG, Steele R, Steele W, Steinman D, Stemke R, Stephens R, Sterbenz S, Sterne P, Stevens D, Stevers J, Still CH, Stoeckl C, Stoeffl W, Stolken JS, Stolz C, Storm E, Stone G, Stoupin S, Stout E, Stowers I, Strauser R, Streckart H, Streit J, Strozzi DJ, Stutz J, Summers L, Suratwala T, Sutcliffe G, Suter LJ, Sutton SB, Svidzinski V, Swadling G, Sweet W, Szoke A, Tabak M, Takagi M, Tambazidis A, Tang V, Taranowski M, Taylor LA, Telford S, Theobald W, Thi M, Thomas A, Thomas CA, Thomas I, Thomas R, Thompson IJ, Thongstisubskul A, Thorsness CB, Tietbohl G, Tipton RE, Tobin M, Tomlin N, Tommasini R, Toreja AJ, Torres J, Town RPJ, Townsend S, Trenholme J, Trivelpiece A, Trosseille C, Truax H, Trummer D, Trummer S, Truong T, Tubbs D, Tubman ER, Tunnell T, Turnbull D, Turner RE, Ulitsky M, Upadhye R, Vaher JL, VanArsdall P, VanBlarcom D, Vandenboomgaerde M, VanQuinlan R, Van Wonterghem BM, Varnum WS, Velikovich AL, Vella A, Verdon CP, Vermillion B, Vernon S, Vesey R, Vickers J, Vignes RM, Visosky M, Vocke J, Volegov PL, Vonhof S, Von Rotz R, Vu HX, Vu M, Wall D, Wall J, Wallace R, Wallin B, Walmer D, Walsh CA, Walters CF, Waltz C, Wan A, Wang A, Wang Y, Wark JS, Warner BE, Watson J, Watt RG, Watts P, Weaver J, Weaver RP, Weaver S, Weber CR, Weber P, Weber SV, Wegner P, Welday B, Welser-Sherrill L, Weiss K, Wharton KB, Wheeler GF, Whistler W, White RK, Whitley HD, Whitman P, Wickett ME, Widmann K, Widmayer C, Wiedwald J, Wilcox R, Wilcox S, Wild C, Wilde BH, Wilde CH, Wilhelmsen K, Wilke MD, Wilkens H, Wilkins P, Wilks SC, Williams EA, Williams GJ, Williams W, Williams WH, Wilson DC, Wilson B, Wilson E, Wilson R, Winters S, Wisoff PJ, Wittman M, Wolfe J, Wong A, Wong KW, Wong L, Wong N, Wood R, Woodhouse D, Woodruff J, Woods DT, Woods S, Woodworth BN, Wooten E, Wootton A, Work K, Workman JB, Wright J, Wu M, Wuest C, Wysocki FJ, Xu H, Yamaguchi M, Yang B, Yang ST, Yatabe J, Yeamans CB, Yee BC, Yi SA, Yin L, Young B, Young CS, Young CV, Young P, Youngblood K, Yu J, Zacharias R, Zagaris G, Zaitseva N, Zaka F, Ze F, Zeiger B, Zika M, Zimmerman GB, Zobrist T, Zuegel JD, and Zylstra AB
Abstract: On December 5, 2022, an indirect drive fusion implosion on the National Ignition Facility (NIF) achieved a target gain G_{target} of 1.5. This is the first laboratory demonstration of exceeding "scientific breakeven" (or G_{target}>1) where 2.05 MJ of 351 nm laser light produced 3.1 MJ of total fusion yield, a result which significantly exceeds the Lawson criterion for fusion ignition as reported in a previous NIF implosion [H. Abu-Shawareb et al. (Indirect Drive ICF Collaboration), Phys. Rev. Lett. 129, 075001 (2022)PRLTAO0031-900710.1103/PhysRevLett.129.075001]. This achievement is the culmination of more than five decades of research and gives proof that laboratory fusion, based on fundamental physics principles, is possible. This Letter reports on the target, laser, design, and experimental advancements that led to this result.
Published: 2024
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4. Energy Principles of Scientific Breakeven in an Inertial Fusion Experiment.

Author: Hurricane OA, Callahan DA, Casey DT, Christopherson AR, Kritcher AL, Landen OL, Maclaren SA, Nora R, Patel PK, Ralph J, Schlossberg D, Springer PT, Young CV, and Zylstra AB
Abstract: Fusion "scientific breakeven" (i.e., unity target gain G_{target}, total fusion energy out > laser energy input) has been achieved for the first time (here, G_{target}∼1.5). This Letter reports on the physics principles of the design changes that led to the first controlled fusion experiment, using laser indirect drive, on the National Ignition Facility to produce target gain greater than unity and exceeded the previously obtained conditions needed for ignition by the Lawson criterion. Key elements of the success came from reducing "coast time" (the time duration between the end of the laser pulse and implosion peak compression) and maximizing the internal energy delivered to the "hot spot" (the yield producing part of the fusion fuel). The link between coast time and maximally efficient conversion of kinetic energy into internal energy is explained. The energetics consequences of asymmetry and hydrodynamic-induced mixing were part of high-yield big radius implosion design experimental and design strategy. Herein, it is shown how asymmetry and mixing consolidate into one key relationship. It is shown that mixing distills into a kinetic energy cost similar to the impact of implosion asymmetry, shifting the threshold for ignition to higher implosion kinetic energy-a factor not normally included in most statements of the generalized Lawson criterion, but the key needed modifications clearly emerge.
Published: 2024
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5. Design of the first fusion experiment to achieve target energy gain G>1.

Author: Kritcher AL, Zylstra AB, Weber CR, Hurricane OA, Callahan DA, Clark DS, Divol L, Hinkel DE, Humbird K, Jones O, Lindl JD, Maclaren S, Strozzi DJ, Young CV, Allen A, Bachmann B, Baker KL, Braun T, Brunton G, Casey DT, Chapman T, Choate C, Dewald E, Di Nicola JG, Edwards MJ, Haan S, Fehrenbach T, Hohenberger M, Kur E, Kustowski B, Kong C, Landen OL, Larson D, MacGowan BJ, Marinak M, Millot M, Nikroo A, Nora R, Pak A, Patel PK, Ralph JE, Ratledge M, Rubery MS, Schlossberg DJ, Sepke SM, Stadermann M, Suratwala TI, Tommasini R, Town R, Woodworth B, Van Wonterghem B, and Wild C
Abstract: In this work we present the design of the first controlled fusion laboratory experiment to reach target gain G>1 N221204 (5 December 2022) [Phys. Rev. Lett. 132, 065102 (2024)10.1103/PhysRevLett.132.065102], performed at the National Ignition Facility, where the fusion energy produced (3.15 MJ) exceeded the amount of laser energy required to drive the target (2.05 MJ). Following the demonstration of ignition according to the Lawson criterion N210808, experiments were impacted by nonideal experimental fielding conditions, such as increased (known) target defects that seeded hydrodynamic instabilities or unintentional low-mode asymmetries from nonuniformities in the target or laser delivery, which led to reduced fusion yields less than 1 MJ. This Letter details design changes, including using an extended higher-energy laser pulse to drive a thicker high-density carbon (also known as diamond) capsule, that led to increased fusion energy output compared to N210808 as well as improved robustness for achieving high fusion energies (greater than 1 MJ) in the presence of significant low-mode asymmetries. For this design, the burnup fraction of the deuterium and tritium (DT) fuel was increased (approximately 4% fuel burnup and a target gain of approximately 1.5 compared to approximately 2% fuel burnup and target gain approximately 0.7 for N210808) as a result of increased total (DT plus capsule) areal density at maximum compression compared to N210808. Radiation-hydrodynamic simulations of this design predicted achieving target gain greater than 1 and also the magnitude of increase in fusion energy produced compared to N210808. The plasma conditions and hotspot power balance (fusion power produced vs input power and power losses) using these simulations are presented. Since the drafting of this manuscript, the results of this paper have been replicated and exceeded (N230729) in this design, together with a higher-quality diamond capsule, setting a new record of approximately 3.88MJ of fusion energy and fusion energy target gain of approximately 1.9.
Published: 2024
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6. Alpha heating of indirect-drive layered implosions on the National Ignition Facility.

Author: Baker KL, MacLaren S, Jones O, Spears BK, Patel PK, Nora R, Divol L, Landen OL, Anderson GJ, Gaffney J, Kruse M, Hurricane OA, Callahan DA, Christopherson AR, Salmonson J, Hartouni EP, Döppner T, Dewald E, Tommasini R, Thomas CA, Weber C, Clark D, Casey DT, Hohenberger M, Khan S, Woods T, Milovich JL, Berger RL, Strozzi D, Kritcher A, Bachmann B, Benedetti R, Bionta R, Celliers PM, Fittinghoff D, Hatarik R, Izumi N, Gatu Johnson M, Kyrala G, Ma T, Meaney K, Millot M, Nagel SR, Pak A, Volegov PL, Yeamans C, and Wilde C
Abstract: In order to understand how close current layered implosions in indirect-drive inertial confinement fusion are to ignition, it is necessary to measure the level of alpha heating present. To this end, pairs of experiments were performed that consisted of a low-yield tritium-hydrogen-deuterium (THD) layered implosion and a high-yield deuterium-tritium (DT) layered implosion to validate experimentally current simulation-based methods of determining yield amplification. The THD capsules were designed to reduce simultaneously DT neutron yield (alpha heating) and maintain hydrodynamic similarity with the higher yield DT capsules. The ratio of the yields measured in these experiments then allowed the alpha heating level of the DT layered implosions to be determined. The level of alpha heating inferred is consistent with fits to simulations expressed in terms of experimentally measurable quantities and enables us to infer the level of alpha heating in recent high-performing implosions.
Published: 2023
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7. Experimental achievement and signatures of ignition at the National Ignition Facility.

Author: Zylstra AB, Kritcher AL, Hurricane OA, Callahan DA, Ralph JE, Casey DT, Pak A, Landen OL, Bachmann B, Baker KL, Berzak Hopkins L, Bhandarkar SD, Biener J, Bionta RM, Birge NW, Braun T, Briggs TM, Celliers PM, Chen H, Choate C, Clark DS, Divol L, Döppner T, Fittinghoff D, Edwards MJ, Gatu Johnson M, Gharibyan N, Haan S, Hahn KD, Hartouni E, Hinkel DE, Ho DD, Hohenberger M, Holder JP, Huang H, Izumi N, Jeet J, Jones O, Kerr SM, Khan SF, Geppert Kleinrath H, Geppert Kleinrath V, Kong C, Lamb KM, Le Pape S, Lemos NC, Lindl JD, MacGowan BJ, Mackinnon AJ, MacPhee AG, Marley EV, Meaney K, Millot M, Moore AS, Newman K, Di Nicola JG, Nikroo A, Nora R, Patel PK, Rice NG, Rubery MS, Sater J, Schlossberg DJ, Sepke SM, Sequoia K, Shin SJ, Stadermann M, Stoupin S, Strozzi DJ, Thomas CA, Tommasini R, Trosseille C, Tubman ER, Volegov PL, Weber CR, Wild C, Woods DT, Yang ST, and Young CV
Abstract: An inertial fusion implosion on the National Ignition Facility, conducted on August 8, 2021 (N210808), recently produced more than a megajoule of fusion yield and passed Lawson's criterion for ignition [Phys. Rev. Lett. 129, 075001 (2022)10.1103/PhysRevLett.129.075001]. We describe the experimental improvements that enabled N210808 and present the first experimental measurements from an igniting plasma in the laboratory. Ignition metrics like the product of hot-spot energy and pressure squared, in the absence of self-heating, increased by ∼35%, leading to record values and an enhancement from previous experiments in the hot-spot energy (∼3×), pressure (∼2×), and mass (∼2×). These results are consistent with self-heating dominating other power balance terms. The burn rate increases by an order of magnitude after peak compression, and the hot-spot conditions show clear evidence for burn propagation into the dense fuel surrounding the hot spot. These novel dynamics and thermodynamic properties have never been observed on prior inertial fusion experiments.
Published: 2022
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8. Design of an inertial fusion experiment exceeding the Lawson criterion for ignition.

Author: Kritcher AL, Zylstra AB, Callahan DA, Hurricane OA, Weber CR, Clark DS, Young CV, Ralph JE, Casey DT, Pak A, Landen OL, Bachmann B, Baker KL, Berzak Hopkins L, Bhandarkar SD, Biener J, Bionta RM, Birge NW, Braun T, Briggs TM, Celliers PM, Chen H, Choate C, Divol L, Döppner T, Fittinghoff D, Edwards MJ, Gatu Johnson M, Gharibyan N, Haan S, Hahn KD, Hartouni E, Hinkel DE, Ho DD, Hohenberger M, Holder JP, Huang H, Izumi N, Jeet J, Jones O, Kerr SM, Khan SF, Geppert Kleinrath H, Geppert Kleinrath V, Kong C, Lamb KM, Le Pape S, Lemos NC, Lindl JD, MacGowan BJ, Mackinnon AJ, MacPhee AG, Marley EV, Meaney K, Millot M, Moore AS, Newman K, Di Nicola JG, Nikroo A, Nora R, Patel PK, Rice NG, Rubery MS, Sater J, Schlossberg DJ, Sepke SM, Sequoia K, Shin SJ, Stadermann M, Stoupin S, Strozzi DJ, Thomas CA, Tommasini R, Trosseille C, Tubman ER, Volegov PL, Wild C, Woods DT, and Yang ST
Abstract: We present the design of the first igniting fusion plasma in the laboratory by Lawson's criterion that produced 1.37 MJ of fusion energy, Hybrid-E experiment N210808 (August 8, 2021) [Phys. Rev. Lett. 129, 075001 (2022)10.1103/PhysRevLett.129.075001]. This design uses the indirect drive inertial confinement fusion approach to heat and compress a central "hot spot" of deuterium-tritium (DT) fuel using a surrounding dense DT fuel piston. Ignition occurs when the heating from absorption of α particles created in the fusion process overcomes the loss mechanisms in the system for a duration of time. This letter describes key design changes which enabled a ∼3-6× increase in an ignition figure of merit (generalized Lawson criterion) [Phys. Plasmas 28, 022704 (2021)1070-664X10.1063/5.0035583, Phys. Plasmas 25, 122704 (2018)1070-664X10.1063/1.5049595]) and an eightfold increase in fusion energy output compared to predecessor experiments. We present simulations of the hot-spot conditions for experiment N210808 that show fundamentally different behavior compared to predecessor experiments and simulated metrics that are consistent with N210808 reaching for the first time in the laboratory "ignition."
Published: 2022
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9. Publisher Correction: Burning plasma achieved in inertial fusion.

Author: Zylstra AB, Hurricane OA, Callahan DA, Kritcher AL, Ralph JE, Robey HF, Ross JS, Young CV, Baker KL, Casey DT, Döppner T, Divol L, Hohenberger M, Le Pape S, Pak A, Patel PK, Tommasini R, Ali SJ, Amendt PA, Atherton LJ, Bachmann B, Bailey D, Benedetti LR, Berzak Hopkins L, Betti R, Bhandarkar SD, Biener J, Bionta RM, Birge NW, Bond EJ, Bradley DK, Braun T, Briggs TM, Bruhn MW, Celliers PM, Chang B, Chapman T, Chen H, Choate C, Christopherson AR, Clark DS, Crippen JW, Dewald EL, Dittrich TR, Edwards MJ, Farmer WA, Field JE, Fittinghoff D, Frenje J, Gaffney J, Gatu Johnson M, Glenzer SH, Grim GP, Haan S, Hahn KD, Hall GN, Hammel BA, Harte J, Hartouni E, Heebner JE, Hernandez VJ, Herrmann H, Herrmann MC, Hinkel DE, Ho DD, Holder JP, Hsing WW, Huang H, Humbird KD, Izumi N, Jarrott LC, Jeet J, Jones O, Kerbel GD, Kerr SM, Khan SF, Kilkenny J, Kim Y, Geppert Kleinrath H, Geppert Kleinrath V, Kong C, Koning JM, Kroll JJ, Kruse MKG, Kustowski B, Landen OL, Langer S, Larson D, Lemos NC, Lindl JD, Ma T, MacDonald MJ, MacGowan BJ, Mackinnon AJ, MacLaren SA, MacPhee AG, Marinak MM, Mariscal DA, Marley EV, Masse L, Meaney K, Meezan NB, Michel PA, Millot M, Milovich JL, Moody JD, Moore AS, Morton JW, Murphy T, Newman K, Di Nicola JG, Nikroo A, Nora R, Patel MV, Pelz LJ, Peterson JL, Ping Y, Pollock BB, Ratledge M, Rice NG, Rinderknecht H, Rosen M, Rubery MS, Salmonson JD, Sater J, Schiaffino S, Schlossberg DJ, Schneider MB, Schroeder CR, Scott HA, Sepke SM, Sequoia K, Sherlock MW, Shin S, Smalyuk VA, Spears BK, Springer PT, Stadermann M, Stoupin S, Strozzi DJ, Suter LJ, Thomas CA, Town RPJ, Tubman ER, Trosseille C, Volegov PL, Weber CR, Widmann K, Wild C, Wilde CH, Van Wonterghem BM, Woods DT, Woodworth BN, Yamaguchi M, Yang ST, and Zimmerman GB
Published: 2022
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10. Burning plasma achieved in inertial fusion.

Author: Zylstra AB, Hurricane OA, Callahan DA, Kritcher AL, Ralph JE, Robey HF, Ross JS, Young CV, Baker KL, Casey DT, Döppner T, Divol L, Hohenberger M, Le Pape S, Pak A, Patel PK, Tommasini R, Ali SJ, Amendt PA, Atherton LJ, Bachmann B, Bailey D, Benedetti LR, Berzak Hopkins L, Betti R, Bhandarkar SD, Biener J, Bionta RM, Birge NW, Bond EJ, Bradley DK, Braun T, Briggs TM, Bruhn MW, Celliers PM, Chang B, Chapman T, Chen H, Choate C, Christopherson AR, Clark DS, Crippen JW, Dewald EL, Dittrich TR, Edwards MJ, Farmer WA, Field JE, Fittinghoff D, Frenje J, Gaffney J, Gatu Johnson M, Glenzer SH, Grim GP, Haan S, Hahn KD, Hall GN, Hammel BA, Harte J, Hartouni E, Heebner JE, Hernandez VJ, Herrmann H, Herrmann MC, Hinkel DE, Ho DD, Holder JP, Hsing WW, Huang H, Humbird KD, Izumi N, Jarrott LC, Jeet J, Jones O, Kerbel GD, Kerr SM, Khan SF, Kilkenny J, Kim Y, Geppert Kleinrath H, Geppert Kleinrath V, Kong C, Koning JM, Kroll JJ, Kruse MKG, Kustowski B, Landen OL, Langer S, Larson D, Lemos NC, Lindl JD, Ma T, MacDonald MJ, MacGowan BJ, Mackinnon AJ, MacLaren SA, MacPhee AG, Marinak MM, Mariscal DA, Marley EV, Masse L, Meaney K, Meezan NB, Michel PA, Millot M, Milovich JL, Moody JD, Moore AS, Morton JW, Murphy T, Newman K, Di Nicola JG, Nikroo A, Nora R, Patel MV, Pelz LJ, Peterson JL, Ping Y, Pollock BB, Ratledge M, Rice NG, Rinderknecht H, Rosen M, Rubery MS, Salmonson JD, Sater J, Schiaffino S, Schlossberg DJ, Schneider MB, Schroeder CR, Scott HA, Sepke SM, Sequoia K, Sherlock MW, Shin S, Smalyuk VA, Spears BK, Springer PT, Stadermann M, Stoupin S, Strozzi DJ, Suter LJ, Thomas CA, Town RPJ, Tubman ER, Trosseille C, Volegov PL, Weber CR, Widmann K, Wild C, Wilde CH, Van Wonterghem BM, Woods DT, Woodworth BN, Yamaguchi M, Yang ST, and Zimmerman GB
Abstract: Obtaining a burning plasma is a critical step towards self-sustaining fusion energy 1 . A burning plasma is one in which the fusion reactions themselves are the primary source of heating in the plasma, which is necessary to sustain and propagate the burn, enabling high energy gain. After decades of fusion research, here we achieve a burning-plasma state in the laboratory. These experiments were conducted at the US National Ignition Facility, a laser facility delivering up to 1.9 megajoules of energy in pulses with peak powers up to 500 terawatts. We use the lasers to generate X-rays in a radiation cavity to indirectly drive a fuel-containing capsule via the X-ray ablation pressure, which results in the implosion process compressing and heating the fuel via mechanical work. The burning-plasma state was created using a strategy to increase the spatial scale of the capsule 2,3 through two different implosion concepts 4-7 . These experiments show fusion self-heating in excess of the mechanical work injected into the implosions, satisfying several burning-plasma metrics 3,8 . Additionally, we describe a subset of experiments that appear to have crossed the static self-heating boundary, where fusion heating surpasses the energy losses from radiation and conduction. These results provide an opportunity to study α-particle-dominated plasmas and burning-plasma physics in the laboratory., (© 2022. The Author(s).)
Published: 2022
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11. Evidence of Three-Dimensional Asymmetries Seeded by High-Density Carbon-Ablator Nonuniformity in Experiments at the National Ignition Facility.

Author: Casey DT, MacGowan BJ, Sater JD, Zylstra AB, Landen OL, Milovich J, Hurricane OA, Kritcher AL, Hohenberger M, Baker K, Le Pape S, Döppner T, Weber C, Huang H, Kong C, Biener J, Young CV, Haan S, Nora RC, Ross S, Robey H, Stadermann M, Nikroo A, Callahan DA, Bionta RM, Hahn KD, Moore AS, Schlossberg D, Bruhn M, Sequoia K, Rice N, Farrell M, and Wild C
Abstract: Inertial confinement fusion implosions must achieve high in-flight shell velocity, sufficient energy coupling between the hot spot and imploding shell, and high areal density (ρR=∫ρdr) at stagnation. Asymmetries in ρR degrade the coupling of shell kinetic energy to the hot spot and reduce the confinement of that energy. We present the first evidence that nonuniformity in the ablator shell thickness (∼0.5% of the total thickness) in high-density carbon experiments is a significant cause for observed 3D ρR asymmetries at the National Ignition Facility. These shell-thickness nonuniformities have significantly impacted some recent experiments leading to ρR asymmetries on the order of ∼25% of the average ρR and hot spot velocities of ∼100 km/s. This work reveals the origin of a significant implosion performance degradation in ignition experiments and places stringent new requirements on capsule thickness metrology and symmetry.
Published: 2021
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12. Record Energetics for an Inertial Fusion Implosion at NIF.

Author: Zylstra AB, Kritcher AL, Hurricane OA, Callahan DA, Baker K, Braun T, Casey DT, Clark D, Clark K, Döppner T, Divol L, Hinkel DE, Hohenberger M, Kong C, Landen OL, Nikroo A, Pak A, Patel P, Ralph JE, Rice N, Tommasini R, Schoff M, Stadermann M, Strozzi D, Weber C, Young C, Wild C, Town RPJ, and Edwards MJ
Abstract: Inertial confinement fusion seeks to create burning plasma conditions in a spherical capsule implosion, which requires efficiently absorbing the driver energy in the capsule, transferring that energy into kinetic energy of the imploding DT fuel and then into internal energy of the fuel at stagnation. We report new implosions conducted on the National Ignition Facility (NIF) with several improvements on recent work [Phys. Rev. Lett. 120, 245003 (2018)PRLTAO0031-900710.1103/PhysRevLett.120.245003; Phys. Rev. E 102, 023210 (2020)PRESCM2470-004510.1103/PhysRevE.102.023210]: larger capsules, thicker fuel layers to mitigate fuel-ablator mix, and new symmetry control via cross-beam energy transfer; at modest velocities, these experiments achieve record values for the implosion energetics figures of merit as well as fusion yield for a NIF experiment.
Published: 2021
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13. Hotspot parameter scaling with velocity and yield for high-adiabat layered implosions at the National Ignition Facility.

Author: Baker KL, Thomas CA, Casey DT, Hohenberger M, Khan S, Spears BK, Landen OL, Nora R, Woods DT, Milovich JL, Berger RL, Strozzi D, Weber C, Clark D, Hurricane OA, Callahan DA, Kritcher AL, Bachmann B, Benedetti LR, Bionta R, Celliers PM, Fittinghoff D, Goyon C, Hatarik R, Izumi N, Gatu Johnson M, Kyrala G, Ma T, Meaney K, Millot M, Nagel SR, Patel PK, Turnbull D, Volegov PL, Yeamans C, and Wilde C
Abstract: This paper presents a study on hotspot parameters in indirect-drive, inertially confined fusion implosions as they proceed through the self-heating regime. The implosions with increasing nuclear yield reach the burning-plasma regime, hotspot ignition, and finally propagating burn and ignition. These implosions span a wide range of alpha heating from a yield amplification of 1.7-2.5. We show that the hotspot parameters are explicitly dependent on both yield and velocity and that by fitting to both of these quantities the hotspot parameters can be fit with a single power law in velocity. The yield scaling also enables the hotspot parameters extrapolation to higher yields. This is important as various degradation mechanisms can occur on a given implosion at fixed implosion velocity which can have a large impact on both yield and the hotspot parameters. The yield scaling also enables the experimental dependence of the hotspot parameters on yield amplification to be determined. The implosions reported have resulted in the highest yield (1.73×10^{16}±2.6%), yield amplification, pressure, and implosion velocity yet reported at the National Ignition Facility.
Published: 2020
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14. High-Performance Indirect-Drive Cryogenic Implosions at High Adiabat on the National Ignition Facility.

Author: Baker KL, Thomas CA, Casey DT, Khan S, Spears BK, Nora R, Woods T, Milovich JL, Berger RL, Strozzi D, Clark D, Hohenberger M, Hurricane OA, Callahan DA, Landen OL, Bachmann B, Benedetti R, Bionta R, Celliers PM, Fittinghoff D, Goyon C, Grim G, Hatarik R, Izumi N, Gatu Johnson M, Kyrala G, Ma T, Millot M, Nagel SR, Pak A, Patel PK, Turnbull D, Volegov PL, and Yeamans C
Abstract: To reach the pressures and densities required for ignition, it may be necessary to develop an approach to design that makes it easier for simulations to guide experiments. Here, we report on a new short-pulse inertial confinement fusion platform that is specifically designed to be more predictable. The platform has demonstrated 99%+0.5% laser coupling into the hohlraum, high implosion velocity (411 km/s), high hotspot pressure (220+60 Gbar), and high cold fuel areal density compression ratio (>400), while maintaining controlled implosion symmetry, providing a promising new physics platform to study ignition physics.
Published: 2018
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15. Publisher's Note: Development of improved radiation drive environment for high foot implosions at the National Ignition Facility [Phys. Rev. Lett. 117, 225002 (2016)].

Author: Hinkel DE, Berzak Hopkins LF, Ma T, Ralph JE, Albert F, Benedetti LR, Celliers PM, Do Ppner T, Goyon CS, Izumi N, Jarrott LC, Khan SF, Kline JL, Kritcher AL, Kyrala GA, Nagel SR, Pak AE, Patel P, Rosen MD, Rygg JR, Schneider MB, Turnbull DP, Yeamans CB, Callahan DA, and Hurricane OA
Abstract: This corrects the article DOI: 10.1103/PhysRevLett.117.225002.
Published: 2017
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16. Development of Improved Radiation Drive Environment for High Foot Implosions at the National Ignition Facility.

Author: Hinkel DE, Berzak Hopkins LF, Ma T, Ralph JE, Albert F, Benedetti LR, Celliers PM, Döppner T, Goyon CS, Izumi N, Jarrott LC, Khan SF, Kline JL, Kritcher AL, Kyrala GA, Nagel SR, Pak AE, Patel P, Rosen MD, Rygg JR, Schneider MB, Turnbull DP, Yeamans CB, Callahan DA, and Hurricane OA
Abstract: Analyses of high foot implosions show that performance is limited by the radiation drive environment, i.e., the hohlraum. Reported here are significant improvements in the radiation environment, which result in an enhancement in implosion performance. Using a longer, larger case-to-capsule ratio hohlraum at lower gas fill density improves the symmetry control of a high foot implosion. Moreover, for the first time, these hohlraums produce reduced levels of hot electrons, generated by laser-plasma interactions, which are at levels comparable to near-vacuum hohlraums, and well within specifications. Further, there is a noteworthy increase in laser energy coupling to the hohlraum, and discrepancies with simulated radiation production are markedly reduced. At fixed laser energy, high foot implosions driven with this improved hohlraum have achieved a 1.4×increase in stagnation pressure, with an accompanying relative increase in fusion yield of 50% as compared to a reference experiment with the same laser energy.
Published: 2016
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17. Improved Performance of High Areal Density Indirect Drive Implosions at the National Ignition Facility using a Four-Shock Adiabat Shaped Drive.

Author: Casey DT, Milovich JL, Smalyuk VA, Clark DS, Robey HF, Pak A, MacPhee AG, Baker KL, Weber CR, Ma T, Park HS, Döppner T, Callahan DA, Haan SW, Patel PK, Peterson JL, Hoover D, Nikroo A, Yeamans CB, Merrill FE, Volegov PL, Fittinghoff DN, Grim GP, Edwards MJ, Landen OL, Lafortune KN, MacGowan BJ, Widmayer CC, Sayre DB, Hatarik R, Bond EJ, Nagel SR, Benedetti LR, Izumi N, Khan S, Bachmann B, Spears BK, Cerjan CJ, Gatu Johnson M, and Frenje JA
Abstract: Hydrodynamic instabilities can cause capsule defects and other perturbations to grow and degrade implosion performance in ignition experiments at the National Ignition Facility (NIF). Here, we show the first experimental demonstration that a strong unsupported first shock in indirect drive implosions at the NIF reduces ablation front instability growth leading to a 3 to 10 times higher yield with fuel ρR>1 g/cm(2). This work shows the importance of ablation front instability growth during the National Ignition Campaign and may provide a path to improved performance at the high compression necessary for ignition.
Published: 2015
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18. Demonstration of High Performance in Layered Deuterium-Tritium Capsule Implosions in Uranium Hohlraums at the National Ignition Facility.

Author: Döppner T, Callahan DA, Hurricane OA, Hinkel DE, Ma T, Park HS, Berzak Hopkins LF, Casey DT, Celliers P, Dewald EL, Dittrich TR, Haan SW, Kritcher AL, MacPhee A, Le Pape S, Pak A, Patel PK, Springer PT, Salmonson JD, Tommasini R, Benedetti LR, Bond E, Bradley DK, Caggiano J, Church J, Dixit S, Edgell D, Edwards MJ, Fittinghoff DN, Frenje J, Gatu Johnson M, Grim G, Hatarik R, Havre M, Herrmann H, Izumi N, Khan SF, Kline JL, Knauer J, Kyrala GA, Landen OL, Merrill FE, Moody J, Moore AS, Nikroo A, Ralph JE, Remington BA, Robey HF, Sayre D, Schneider M, Streckert H, Town R, Turnbull D, Volegov PL, Wan A, Widmann K, Wilde CH, and Yeamans C
Abstract: We report on the first layered deuterium-tritium (DT) capsule implosions indirectly driven by a "high-foot" laser pulse that were fielded in depleted uranium hohlraums at the National Ignition Facility. Recently, high-foot implosions have demonstrated improved resistance to ablation-front Rayleigh-Taylor instability induced mixing of ablator material into the DT hot spot [Hurricane et al., Nature (London) 506, 343 (2014)]. Uranium hohlraums provide a higher albedo and thus an increased drive equivalent to an additional 25 TW laser power at the peak of the drive compared to standard gold hohlraums leading to higher implosion velocity. Additionally, we observe an improved hot-spot shape closer to round which indicates enhanced drive from the waist. In contrast to findings in the National Ignition Campaign, now all of our highest performing experiments have been done in uranium hohlraums and achieved total yields approaching 10^{16} neutrons where more than 50% of the yield was due to additional heating of alpha particles stopping in the DT fuel.
Published: 2015
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19. Thin shell, high velocity inertial confinement fusion implosions on the national ignition facility.

Author: Ma T, Hurricane OA, Callahan DA, Barrios MA, Casey DT, Dewald EL, Dittrich TR, Döppner T, Haan SW, Hinkel DE, Berzak Hopkins LF, Le Pape S, MacPhee AG, Pak A, Park HS, Patel PK, Remington BA, Robey HF, Salmonson JD, Springer PT, Tommasini R, Benedetti LR, Bionta R, Bond E, Bradley DK, Caggiano J, Celliers P, Cerjan CJ, Church JA, Dixit S, Dylla-Spears R, Edgell D, Edwards MJ, Field J, Fittinghoff DN, Frenje JA, Gatu Johnson M, Grim G, Guler N, Hatarik R, Herrmann HW, Hsing WW, Izumi N, Jones OS, Khan SF, Kilkenny JD, Knauer J, Kohut T, Kozioziemski B, Kritcher A, Kyrala G, Landen OL, MacGowan BJ, Mackinnon AJ, Meezan NB, Merrill FE, Moody JD, Nagel SR, Nikroo A, Parham T, Ralph JE, Rosen MD, Rygg JR, Sater J, Sayre D, Schneider MB, Shaughnessy D, Spears BK, Town RP, Volegov PL, Wan A, Widmann K, Wilde CH, and Yeamans C
Abstract: Experiments have recently been conducted at the National Ignition Facility utilizing inertial confinement fusion capsule ablators that are 175 and 165 μm in thickness, 10% and 15% thinner, respectively, than the nominal thickness capsule used throughout the high foot and most of the National Ignition Campaign. These three-shock, high-adiabat, high-foot implosions have demonstrated good performance, with higher velocity and better symmetry control at lower laser powers and energies than their nominal thickness ablator counterparts. Little to no hydrodynamic mix into the DT hot spot has been observed despite the higher velocities and reduced depth for possible instability feedthrough. Early results have shown good repeatability, with up to 1/2 the neutron yield coming from α-particle self-heating.
Published: 2015
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20. Reduced instability growth with high-adiabat high-foot implosions at the National Ignition Facility.

Author: Casey DT, Smalyuk VA, Raman KS, Peterson JL, Berzak Hopkins L, Callahan DA, Clark DS, Dewald EL, Dittrich TR, Haan SW, Hinkel DE, Hoover D, Hurricane OA, Kroll JJ, Landen OL, Moore AS, Nikroo A, Park HS, Remington BA, Robey HF, Rygg JR, Salmonson JD, Tommasini R, and Widmann K
Subjects: Models, Chemical, Deuterium chemistry, Hydrodynamics, Nuclear Fusion, Tritium chemistry
Abstract: Hydrodynamic instabilities are a major obstacle in the quest to achieve ignition as they cause preexisting capsule defects to grow and ultimately quench the fusion burn in experiments at the National Ignition Facility. Unstable growth at the ablation front has been dramatically reduced in implosions with "high-foot" drives as measured using x-ray radiography of modulations at the most dangerous wavelengths (Legendre mode numbers of 30-90). These growth reductions have helped to improve the performance of layered DT implosions reported by O. A. Hurricane et al. [Nature (London) 506, 343 (2014)], when compared to previous "low-foot" experiments, demonstrating the value of stabilizing ablation-front growth and providing directions for future ignition designs.
Published: 2014
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21. Fuel gain exceeding unity in an inertially confined fusion implosion.

Author: Hurricane OA, Callahan DA, Casey DT, Celliers PM, Cerjan C, Dewald EL, Dittrich TR, Döppner T, Hinkel DE, Berzak Hopkins LF, Kline JL, Le Pape S, Ma T, MacPhee AG, Milovich JL, Pak A, Park HS, Patel PK, Remington BA, Salmonson JD, Springer PT, and Tommasini R
Abstract: Ignition is needed to make fusion energy a viable alternative energy source, but has yet to be achieved. A key step on the way to ignition is to have the energy generated through fusion reactions in an inertially confined fusion plasma exceed the amount of energy deposited into the deuterium-tritium fusion fuel and hotspot during the implosion process, resulting in a fuel gain greater than unity. Here we report the achievement of fusion fuel gains exceeding unity on the US National Ignition Facility using a 'high-foot' implosion method, which is a manipulation of the laser pulse shape in a way that reduces instability in the implosion. These experiments show an order-of-magnitude improvement in yield performance over past deuterium-tritium implosion experiments. We also see a significant contribution to the yield from α-particle self-heating and evidence for the 'bootstrapping' required to accelerate the deuterium-tritium fusion burn to eventually 'run away' and ignite.
Published: 2014
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22. Design of a high-foot high-adiabat ICF capsule for the national ignition facility.

Author: Dittrich TR, Hurricane OA, Callahan DA, Dewald EL, Döppner T, Hinkel DE, Berzak Hopkins LF, Le Pape S, Ma T, Milovich JL, Moreno JC, Patel PK, Park HS, Remington BA, Salmonson JD, and Kline JL
Abstract: The National Ignition Campaign's [M. J. Edwards et al., Phys. Plasmas 20, 070501 (2013)] point design implosion has achieved DT neutron yields of 7.5×10(14) neutrons, inferred stagnation pressures of 103 Gbar, and inferred areal densities (ρR) of 0.90 g/cm2 (shot N111215), values that are lower than 1D expectations by factors of 10×, 3.3×, and 1.5×, respectively. In this Letter, we present the design basis for an inertial confinement fusion capsule using an alternate indirect-drive pulse shape that is less sensitive to issues that may be responsible for this lower than expected performance. This new implosion features a higher radiation temperature in the "foot" of the pulse, three-shock pulse shape resulting in an implosion that has less sensitivity to the predicted ionization state of carbon, modestly lower convergence ratio, and significantly lower ablation Rayleigh-Taylor instability growth than that of the NIC point design capsule. The trade-off with this new design is a higher fuel adiabat that limits both fuel compression and theoretical capsule yield. The purpose of designing this capsule is to recover a more ideal one-dimensional implosion that is in closer agreement to simulation predictions. Early experimental results support our assertions since as of this Letter, a high-foot implosion has obtained a record DT yield of 2.4×10(15) neutrons (within ∼70% of 1D simulation) with fuel ρR=0.84 g/cm2 and an estimated ∼1/3 of the yield coming from α-particle self-heating.
Published: 2014
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23. High-adiabat high-foot inertial confinement fusion implosion experiments on the national ignition facility.

Author: Park HS, Hurricane OA, Callahan DA, Casey DT, Dewald EL, Dittrich TR, Döppner T, Hinkel DE, Berzak Hopkins LF, Le Pape S, Ma T, Patel PK, Remington BA, Robey HF, Salmonson JD, and Kline JL
Abstract: This Letter reports on a series of high-adiabat implosions of cryogenic layered deuterium-tritium (DT) capsules indirectly driven by a "high-foot" laser drive pulse at the National Ignition Facility. High-foot implosions have high ablation velocities and large density gradient scale lengths and are more resistant to ablation-front Rayleigh-Taylor instability induced mixing of ablator material into the DT hot spot. Indeed, the observed hot spot mix in these implosions was low and the measured neutron yields were typically 50% (or higher) of the yields predicted by simulation. On one high performing shot (N130812), 1.7 MJ of laser energy at a peak power of 350 TW was used to obtain a peak hohlraum radiation temperature of ∼300 eV. The resulting experimental neutron yield was (2.4±0.05)×10(15) DT, the fuel ρR was (0.86±0.063) g/cm2, and the measured Tion was (4.2±0.16) keV, corresponding to 8 kJ of fusion yield, with ∼1/3 of the yield caused by self-heating of the fuel by α particles emitted in the initial reactions. The generalized Lawson criteria, an ignition metric, was 0.43 and the neutron yield was ∼70% of the value predicted by simulations that include α-particle self-heating.
Published: 2014
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24. Measurements of an ablator-gas atomic mix in indirectly driven implosions at the National Ignition Facility.

Author: Smalyuk VA, Tipton RE, Pino JE, Casey DT, Grim GP, Remington BA, Rowley DP, Weber SV, Barrios M, Benedetti LR, Bleuel DL, Bradley DK, Caggiano JA, Callahan DA, Cerjan CJ, Clark DS, Edgell DH, Edwards MJ, Frenje JA, Gatu-Johnson M, Glebov VY, Glenn S, Haan SW, Hamza A, Hatarik R, Hsing WW, Izumi N, Khan S, Kilkenny JD, Kline J, Knauer J, Landen OL, Ma T, McNaney JM, Mintz M, Moore A, Nikroo A, Pak A, Parham T, Petrasso R, Sayre DB, Schneider MB, Tommasini R, Town RP, Widmann K, Wilson DC, and Yeamans CB
Abstract: We present the first results from an experimental campaign to measure the atomic ablator-gas mix in the deceleration phase of gas-filled capsule implosions on the National Ignition Facility. Plastic capsules containing CD layers were filled with tritium gas; as the reactants are initially separated, DT fusion yield provides a direct measure of the atomic mix of ablator into the hot spot gas. Capsules were imploded with x rays generated in hohlraums with peak radiation temperatures of ∼294 eV. While the TT fusion reaction probes conditions in the central part (core) of the implosion hot spot, the DT reaction probes a mixed region on the outer part of the hot spot near the ablator-hot-spot interface. Experimental data were used to develop and validate the atomic-mix model used in two-dimensional simulations.
Published: 2014
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25. Early-time symmetry tuning in the presence of cross-beam energy transfer in ICF experiments on the National Ignition Facility.

Author: Dewald EL, Milovich JL, Michel P, Landen OL, Kline JL, Glenn S, Jones O, Kalantar DH, Pak A, Robey HF, Kyrala GA, Divol L, Benedetti LR, Holder J, Widmann K, Moore A, Schneider MB, Döppner T, Tommasini R, Bradley DK, Bell P, Ehrlich B, Thomas CA, Shaw M, Widmayer C, Callahan DA, Meezan NB, Town RP, Hamza A, Dzenitis B, Nikroo A, Moreno K, Van Wonterghem B, Mackinnon AJ, Glenzer SH, MacGowan BJ, Kilkenny JD, Edwards MJ, Atherton LJ, and Moses EI
Abstract: On the National Ignition Facility, the hohlraum-driven implosion symmetry is tuned using cross-beam energy transfer (CBET) during peak power, which is controlled by applying a wavelength separation between cones of laser beams. In this Letter, we present early-time measurements of the instantaneous soft x-ray drive at the capsule using reemission spheres, which show that this wavelength separation also leads to significant CBET during the first shock, even though the laser intensities are 30× smaller than during the peak. We demonstrate that the resulting early drive P2/P0 asymmetry can be minimized and tuned to <1% accuracy (well within the ±7.5% requirement for ignition) by varying the relative input powers between different cones of beams. These experiments also provide time-resolved measurements of CBET during the first 2 ns of the laser drive, which are in good agreement with radiation-hydrodynamics calculations including a linear CBET model.
Published: 2013
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26. Performance of high-convergence, layered DT implosions with extended-duration pulses at the National Ignition Facility.

Author: Smalyuk VA, Atherton LJ, Benedetti LR, Bionta R, Bleuel D, Bond E, Bradley DK, Caggiano J, Callahan DA, Casey DT, Celliers PM, Cerjan CJ, Clark D, Dewald EL, Dixit SN, Döppner T, Edgell DH, Edwards MJ, Frenje J, Gatu-Johnson M, Glebov VY, Glenn S, Glenzer SH, Grim G, Haan SW, Hammel BA, Hartouni EP, Hatarik R, Hatchett S, Hicks DG, Hsing WW, Izumi N, Jones OS, Key MH, Khan SF, Kilkenny JD, Kline JL, Knauer J, Kyrala GA, Landen OL, Le Pape S, Lindl JD, Ma T, MacGowan BJ, Mackinnon AJ, MacPhee AG, McNaney J, Meezan NB, Moody JD, Moore A, Moran M, Moses EI, Pak A, Parham T, Park HS, Patel PK, Petrasso R, Ralph JE, Regan SP, Remington BA, Robey HF, Ross JS, Spears BK, Springer PT, Suter LJ, Tommasini R, Town RP, Weber SV, and Widmann K
Abstract: Radiation-driven, low-adiabat, cryogenic DT layered plastic capsule implosions were carried out on the National Ignition Facility (NIF) to study the sensitivity of performance to peak power and drive duration. An implosion with extended drive and at reduced peak power of 350 TW achieved the highest compression with fuel areal density of ~1.3±0.1 g/cm2, representing a significant step from previously measured ~1.0 g/cm2 toward a goal of 1.5 g/cm2. Future experiments will focus on understanding and mitigating hydrodynamic instabilities and mix, and improving symmetry required to reach the threshold for thermonuclear ignition on NIF.
Published: 2013
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27. Onset of hydrodynamic mix in high-velocity, highly compressed inertial confinement fusion implosions.

Author: Ma T, Patel PK, Izumi N, Springer PT, Key MH, Atherton LJ, Benedetti LR, Bradley DK, Callahan DA, Celliers PM, Cerjan CJ, Clark DS, Dewald EL, Dixit SN, Döppner T, Edgell DH, Epstein R, Glenn S, Grim G, Haan SW, Hammel BA, Hicks D, Hsing WW, Jones OS, Khan SF, Kilkenny JD, Kline JL, Kyrala GA, Landen OL, Le Pape S, MacGowan BJ, Mackinnon AJ, MacPhee AG, Meezan NB, Moody JD, Pak A, Parham T, Park HS, Ralph JE, Regan SP, Remington BA, Robey HF, Ross JS, Spears BK, Smalyuk V, Suter LJ, Tommasini R, Town RP, Weber SV, Lindl JD, Edwards MJ, Glenzer SH, and Moses EI
Abstract: Deuterium-tritium inertial confinement fusion implosion experiments on the National Ignition Facility have demonstrated yields ranging from 0.8 to 7×10(14), and record fuel areal densities of 0.7 to 1.3 g/cm2. These implosions use hohlraums irradiated with shaped laser pulses of 1.5-1.9 MJ energy. The laser peak power and duration at peak power were varied, as were the capsule ablator dopant concentrations and shell thicknesses. We quantify the level of hydrodynamic instability mix of the ablator into the hot spot from the measured elevated absolute x-ray emission of the hot spot. We observe that DT neutron yield and ion temperature decrease abruptly as the hot spot mix mass increases above several hundred ng. The comparison with radiation-hydrodynamic modeling indicates that low mode asymmetries and increased ablator surface perturbations may be responsible for the current performance.
Published: 2013
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28. Hot-spot mix in ignition-scale inertial confinement fusion targets.

Author: Regan SP, Epstein R, Hammel BA, Suter LJ, Scott HA, Barrios MA, Bradley DK, Callahan DA, Cerjan C, Collins GW, Dixit SN, Döppner T, Edwards MJ, Farley DR, Fournier KB, Glenn S, Glenzer SH, Golovkin IE, Haan SW, Hamza A, Hicks DG, Izumi N, Jones OS, Kilkenny JD, Kline JL, Kyrala GA, Landen OL, Ma T, MacFarlane JJ, MacKinnon AJ, Mancini RC, McCrory RL, Meezan NB, Meyerhofer DD, Nikroo A, Park HS, Ralph J, Remington BA, Sangster TC, Smalyuk VA, Springer PT, and Town RP
Abstract: Mixing of plastic ablator material, doped with Cu and Ge dopants, deep into the hot spot of ignition-scale inertial confinement fusion implosions by hydrodynamic instabilities is diagnosed with x-ray spectroscopy on the National Ignition Facility. The amount of hot-spot mix mass is determined from the absolute brightness of the emergent Cu and Ge K-shell emission. The Cu and Ge dopants placed at different radial locations in the plastic ablator show the ablation-front hydrodynamic instability is primarily responsible for hot-spot mix. Low neutron yields and hot-spot mix mass between 34(-13,+50) ng and 4000(-2970,+17 160) ng are observed.
Published: 2013
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29. Numerical modeling of the sensitivity of x-ray driven implosions to low-mode flux asymmetries.

Author: Scott RH, Clark DS, Bradley DK, Callahan DA, Edwards MJ, Haan SW, Jones OS, Spears BK, Marinak MM, Town RP, Norreys PA, and Suter LJ
Abstract: The sensitivity of inertial confinement fusion implosions, of the type performed on the National Ignition Facility (NIF) [1], to low-mode flux asymmetries is investigated numerically. It is shown that large-amplitude, low-order mode shapes (Legendre polynomial P(4), resulting from low-order flux asymmetries, cause spatial variations in capsule and fuel momentum that prevent the deuterium and tritium (DT) "ice" layer from being decelerated uniformly by the hot spot pressure. This reduces the transfer of implosion kinetic energy to internal energy of the central hot spot, thus reducing the neutron yield. Furthermore, synthetic gated x-ray images of the hot spot self-emission indicate that P(4) shapes may be unquantifiable for DT layered capsules. Instead the positive P(4) asymmetry "aliases" itself as an oblate P(2) in the x-ray images. Correction of this apparent P(2) distortion can further distort the implosion while creating a round x-ray image. Long wavelength asymmetries may be playing a significant role in the observed yield reduction of NIF DT implosions relative to detailed postshot two-dimensional simulations.
Published: 2013
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30. Stochastic ion heating from many overlapping laser beams in fusion plasmas.

Author: Michel P, Rozmus W, Williams EA, Divol L, Berger RL, Town RP, Glenzer SH, and Callahan DA
Abstract: In this Letter, we show through numerical simulations and analytical results that overlapping multiple (N) laser beams in plasmas can lead to strong stochastic ion heating from many (~N(2)) electrostatic perturbations driven by beat waves between pairs of laser beams. For conditions typical of inertial-confinement-fusion experiment conditions, hundreds of such beat waves are driven in mm(3)-scale plasmas, leading to ion heating rates of several keV/ns. This mechanism saturates cross-beam energy transfer, with a reduction of linear gains by a factor ~4-5 and can strongly modify the overall hydrodynamics evolution of such laser-plasma systems.
Published: 2012
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31. South pole bang-time diagnostic on the National Ignition Facility (invited).

Author: Edgell DH, Bradley DK, Bond EJ, Burns S, Callahan DA, Celeste J, Eckart MJ, Glebov VY, Hey DS, Lacaille G, Kilkenny JD, Kimbrough J, Mackinnon AJ, Magoon J, Parker J, Sangster TC, Shoup MJ 3rd, Stoeckl C, Thomas T, and MacPhee A
Abstract: The south pole bang-time diagnostic views National Ignition Facility (NIF) implosions through the lower Hohlraum laser entrance hole to measure the time of peak x-ray emission (peak compression) in indirect-drive implosions. Five chemical-vapor-deposition diamond photoconductive detectors with different filtrations and sensitivities record the time-varying x rays emitted by the target. Wavelength selecting highly oriented pyrolytic graphite crystal mirror monochromators increase the x-ray signal-to-background ratio by filtering for 11-keV emission. Diagnostic timing and the in situ temporal instrument response function are determined from laser impulse shots on the NIF. After signal deconvolution and background removal, the bang time is determined to 45-ps accuracy. The x-ray "yield" (mJ∕sr∕keV at 11 keV) is determined from the time integral of the corrected peak signal.
Published: 2012
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32. Soft x-ray images of the laser entrance hole of ignition hohlraums.

Author: Schneider MB, Meezan NB, Alvarez SS, Alameda J, Baker S, Bell PM, Bradley DK, Callahan DA, Celeste JR, Dewald EL, Dixit SN, Döppner T, Eder DC, Edwards MJ, Fernandez-Perea M, Gullikson E, Haugh MJ, Hau-Riege S, Hsing W, Izumi N, Jones OS, Kalantar DH, Kilkenny JD, Kline JL, Kyrala GA, Landen OL, London RA, MacGowan BJ, MacKinnon AJ, McCarville TJ, Milovich JL, Mirkarimi P, Moody JD, Moore AS, Myers MD, Palma EA, Palmer N, Pivovaroff MJ, Ralph JE, Robinson J, Soufli R, Suter LJ, Teruya AT, Thomas CA, Town RP, Vernon SP, Widmann K, and Young BK
Abstract: Hohlraums are employed at the national ignition facility to convert laser energy into a thermal x-radiation drive, which implodes a fusion capsule, thus compressing the fuel. The x-radiation drive is measured with a low spectral resolution, time-resolved x-ray spectrometer, which views the region around the hohlraum's laser entrance hole. This measurement has no spatial resolution. To convert this to the drive inside the hohlraum, the size of the hohlraum's opening ("clear aperture") and fraction of the measured x-radiation, which comes from this opening, must be known. The size of the clear aperture is measured with the time integrated static x-ray imager (SXI). A soft x-ray imaging channel has been added to the SXI to measure the fraction of x-radiation emitted from inside the clear aperture. A multilayer mirror plus filter selects an x-ray band centered at 870 eV, near the peak of the x-ray spectrum of a 300 eV blackbody. Results from this channel and corrections to the x-radiation drive are discussed.
Published: 2012
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33. Assembly of high-areal-density deuterium-tritium fuel from indirectly driven cryogenic implosions.

Author: Mackinnon AJ, Kline JL, Dixit SN, Glenzer SH, Edwards MJ, Callahan DA, Meezan NB, Haan SW, Kilkenny JD, Döppner T, Farley DR, Moody JD, Ralph JE, MacGowan BJ, Landen OL, Robey HF, Boehly TR, Celliers PM, Eggert JH, Krauter K, Frieders G, Ross GF, Hicks DG, Olson RE, Weber SV, Spears BK, Salmonsen JD, Michel P, Divol L, Hammel B, Thomas CA, Clark DS, Jones OS, Springer PT, Cerjan CJ, Collins GW, Glebov VY, Knauer JP, Sangster C, Stoeckl C, McKenty P, McNaney JM, Leeper RJ, Ruiz CL, Cooper GW, Nelson AG, Chandler GG, Hahn KD, Moran MJ, Schneider MB, Palmer NE, Bionta RM, Hartouni EP, LePape S, Patel PK, Izumi N, Tommasini R, Bond EJ, Caggiano JA, Hatarik R, Grim GP, Merrill FE, Fittinghoff DN, Guler N, Drury O, Wilson DC, Herrmann HW, Stoeffl W, Casey DT, Johnson MG, Frenje JA, Petrasso RD, Zylestra A, Rinderknecht H, Kalantar DH, Dzenitis JM, Di Nicola P, Eder DC, Courdin WH, Gururangan G, Burkhart SC, Friedrich S, Blueuel DL, Bernstein LA, Eckart MJ, Munro DH, Hatchett SP, Macphee AG, Edgell DH, Bradley DK, Bell PM, Glenn SM, Simanovskaia N, Barrios MA, Benedetti R, Kyrala GA, Town RP, Dewald EL, Milovich JL, Widmann K, Moore AS, LaCaille G, Regan SP, Suter LJ, Felker B, Ashabranner RC, Jackson MC, Prasad R, Richardson MJ, Kohut TR, Datte PS, Krauter GW, Klingman JJ, Burr RF, Land TA, Hermann MR, Latray DA, Saunders RL, Weaver S, Cohen SJ, Berzins L, Brass SG, Palma ES, Lowe-Webb RR, McHalle GN, Arnold PA, Lagin LJ, Marshall CD, Brunton GK, Mathisen DG, Wood RD, Cox JR, Ehrlich RB, Knittel KM, Bowers MW, Zacharias RA, Young BK, Holder JP, Kimbrough JR, Ma T, La Fortune KN, Widmayer CC, Shaw MJ, Erbert GV, Jancaitis KS, DiNicola JM, Orth C, Heestand G, Kirkwood R, Haynam C, Wegner PJ, Whitman PK, Hamza A, Dzenitis EG, Wallace RJ, Bhandarkar SD, Parham TG, Dylla-Spears R, Mapoles ER, Kozioziemski BJ, Sater JD, Walters CF, Haid BJ, Fair J, Nikroo A, Giraldez E, Moreno K, Vanwonterghem B, Kauffman RL, Batha S, Larson DW, Fortner RJ, Schneider DH, Lindl JD, Patterson RW, Atherton LJ, and Moses EI
Abstract: The National Ignition Facility has been used to compress deuterium-tritium to an average areal density of ~1.0±0.1 g cm(-2), which is 67% of the ignition requirement. These conditions were obtained using 192 laser beams with total energy of 1-1.6 MJ and peak power up to 420 TW to create a hohlraum drive with a shaped power profile, peaking at a soft x-ray radiation temperature of 275-300 eV. This pulse delivered a series of shocks that compressed a capsule containing cryogenic deuterium-tritium to a radius of 25-35 μm. Neutron images of the implosion were used to estimate a fuel density of 500-800 g cm(-3).
Published: 2012
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34. Direct measurement of energetic electrons coupling to an imploding low-adiabat inertial confinement fusion capsule.

Author: Döppner T, Thomas CA, Divol L, Dewald EL, Celliers PM, Bradley DK, Callahan DA, Dixit SN, Harte JA, Glenn SM, Haan SW, Izumi N, Kyrala GA, LaCaille G, Kline JK, Kruer WL, Ma T, MacKinnon AJ, McNaney JM, Meezan NB, Robey HF, Salmonson JD, Suter LJ, Zimmerman GB, Edwards MJ, MacGowan BJ, Kilkenny JD, Lindl JD, Van Wonterghem BM, Atherton LJ, Moses EI, Glenzer SH, and Landen OL
Abstract: We have imaged hard x-ray (>100 keV) bremsstrahlung emission from energetic electrons slowing in a plastic ablator shell during indirectly driven implosions at the National Ignition Facility. We measure 570 J in electrons with E>100 keV impinging on the fusion capsule under ignition drive conditions. This translates into an acceptable increase in the adiabat α, defined as the ratio of total deuterium-tritium fuel pressure to Fermi pressure, of 3.5%. The hard x-ray observables are consistent with detailed radiative-hydrodynamics simulations, including the sourcing and transport of these high energy electrons.
Published: 2012
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35. Three-wavelength scheme to optimize hohlraum coupling on the National Ignition Facility.

Author: Michel P, Divol L, Town RP, Rosen MD, Callahan DA, Meezan NB, Schneider MB, Kyrala GA, Moody JD, Dewald EL, Widmann K, Bond E, Kline JL, Thomas CA, Dixit S, Williams EA, Hinkel DE, Berger RL, Landen OL, Edwards MJ, MacGowan BJ, Lindl JD, Haynam C, Suter LJ, Glenzer SH, and Moses E
Abstract: By using three tunable wavelengths on different cones of laser beams on the National Ignition Facility, numerical simulations show that the energy transfer between beams can be tuned to redistribute the energy within the cones of beams most prone to backscatter instabilities. These radiative hydrodynamics and laser-plasma interaction simulations have been tested against large-scale hohlraum experiments with two tunable wavelengths and reproduce the hohlraum energetics and symmetry. Using a third wavelength provides a greater level of control of the laser energy distribution and coupling in the hohlraum, and could significantly reduce stimulated Raman scattering losses and increase the hohlraum radiation drive while maintaining a good implosion symmetry.
Published: 2011
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36. Observation of high soft x-ray drive in large-scale hohlraums at the National Ignition Facility.

Author: Kline JL, Glenzer SH, Olson RE, Suter LJ, Widmann K, Callahan DA, Dixit SN, Thomas CA, Hinkel DE, Williams EA, Moore AS, Celeste J, Dewald E, Hsing WW, Warrick A, Atherton J, Azevedo S, Beeler R, Berger R, Conder A, Divol L, Haynam CA, Kalantar DH, Kauffman R, Kyrala GA, Kilkenny J, Liebman J, Le Pape S, Larson D, Meezan NB, Michel P, Moody J, Rosen MD, Schneider MB, Van Wonterghem B, Wallace RJ, Young BK, Landen OL, and MacGowan BJ
Abstract: The first soft x-ray radiation flux measurements from hohlraums using both a 96 and a 192 beam configuration at the National Ignition Facility have shown high x-ray conversion efficiencies of ∼85%-90%. These experiments employed gold vacuum hohlraums, 6.4 mm long and 3.55 mm in diameter, heated with laser energies between 150-635 kJ. The hohlraums reached radiation temperatures of up to 340 eV. These hohlraums for the first time reached coronal plasma conditions sufficient for two-electron processes and coronal heat conduction to be important for determining the radiation drive., (© 2011 American Physical Society)
Published: 2011
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37. Demonstration of ignition radiation temperatures in indirect-drive inertial confinement fusion hohlraums.

Author: Glenzer SH, MacGowan BJ, Meezan NB, Adams PA, Alfonso JB, Alger ET, Alherz Z, Alvarez LF, Alvarez SS, Amick PV, Andersson KS, Andrews SD, Antonini GJ, Arnold PA, Atkinson DP, Auyang L, Azevedo SG, Balaoing BN, Baltz JA, Barbosa F, Bardsley GW, Barker DA, Barnes AI, Baron A, Beeler RG, Beeman BV, Belk LR, Bell JC, Bell PM, Berger RL, Bergonia MA, Bernardez LJ, Berzins LV, Bettenhausen RC, Bezerides L, Bhandarkar SD, Bishop CL, Bond EJ, Bopp DR, Borgman JA, Bower JR, Bowers GA, Bowers MW, Boyle DT, Bradley DK, Bragg JL, Braucht J, Brinkerhoff DL, Browning DF, Brunton GK, Burkhart SC, Burns SR, Burns KE, Burr B, Burrows LM, Butlin RK, Cahayag NJ, Callahan DA, Cardinale PS, Carey RW, Carlson JW, Casey AD, Castro C, Celeste JR, Chakicherla AY, Chambers FW, Chan C, Chandrasekaran H, Chang C, Chapman RF, Charron K, Chen Y, Christensen MJ, Churby AJ, Clancy TJ, Cline BD, Clowdus LC, Cocherell DG, Coffield FE, Cohen SJ, Costa RL, Cox JR, Curnow GM, Dailey MJ, Danforth PM, Darbee R, Datte PS, Davis JA, Deis GA, Demaret RD, Dewald EL, Di Nicola P, Di Nicola JM, Divol L, Dixit S, Dobson DB, Doppner T, Driscoll JD, Dugorepec J, Duncan JJ, Dupuy PC, Dzenitis EG, Eckart MJ, Edson SL, Edwards GJ, Edwards MJ, Edwards OD, Edwards PW, Ellefson JC, Ellerbee CH, Erbert GV, Estes CM, Fabyan WJ, Fallejo RN, Fedorov M, Felker B, Fink JT, Finney MD, Finnie LF, Fischer MJ, Fisher JM, Fishler BT, Florio JW, Forsman A, Foxworthy CB, Franks RM, Frazier T, Frieder G, Fung T, Gawinski GN, Gibson CR, Giraldez E, Glenn SM, Golick BP, Gonzales H, Gonzales SA, Gonzalez MJ, Griffin KL, Grippen J, Gross SM, Gschweng PH, Gururangan G, Gu K, Haan SW, Hahn SR, Haid BJ, Hamblen JE, Hammel BA, Hamza AV, Hardy DL, Hart DR, Hartley RG, Haynam CA, Heestand GM, Hermann MR, Hermes GL, Hey DS, Hibbard RL, Hicks DG, Hinkel DE, Hipple DL, Hitchcock JD, Hodtwalker DL, Holder JP, Hollis JD, Holtmeier GM, Huber SR, Huey AW, Hulsey DN, Hunter SL, Huppler TR, Hutton MS, Izumi N, Jackson JL, Jackson MA, Jancaitis KS, Jedlovec DR, Johnson B, Johnson MC, Johnson T, Johnston MP, Jones OS, Kalantar DH, Kamperschroer JH, Kauffman RL, Keating GA, Kegelmeyer LM, Kenitzer SL, Kimbrough JR, King K, Kirkwood RK, Klingmann JL, Knittel KM, Kohut TR, Koka KG, Kramer SW, Krammen JE, Krauter KG, Krauter GW, Krieger EK, Kroll JJ, La Fortune KN, Lagin LJ, Lakamsani VK, Landen OL, Lane SW, Langdon AB, Langer SH, Lao N, Larson DW, Latray D, Lau GT, Le Pape S, Lechleiter BL, Lee Y, Lee TL, Li J, Liebman JA, Lindl JD, Locke SF, Loey HK, London RA, Lopez FJ, Lord DM, Lowe-Webb RR, Lown JG, Ludwigsen AP, Lum NW, Lyons RR, Ma T, MacKinnon AJ, Magat MD, Maloy DT, Malsbury TN, Markham G, Marquez RM, Marsh AA, Marshall CD, Marshall SR, Maslennikov IL, Mathisen DG, Mauger GJ, Mauvais M-, McBride JA, McCarville T, McCloud JB, McGrew A, McHale B, MacPhee AG, Meeker JF, Merill JS, Mertens EP, Michel PA, Miller MG, Mills T, Milovich JL, Miramontes R, Montesanti RC, Montoya MM, Moody J, Moody JD, Moreno KA, Morris J, Morriston KM, Nelson JR, Neto M, Neumann JD, Ng E, Ngo QM, Olejniczak BL, Olson RE, Orsi NL, Owens MW, Padilla EH, Pannell TM, Parham TG, Patterson RW Jr, Pavel G, Prasad RR, Pendlton D, Penko FA, Pepmeier BL, Petersen DE, Phillips TW, Pigg D, Piston KW, Pletcher KD, Powell CL, Radousky HB, Raimondi BS, Ralph JE, Rampke RL, Reed RK, Reid WA, Rekow VV, Reynolds JL, Rhodes JJ, Richardson MJ, Rinnert RJ, Riordan BP, Rivenes AS, Rivera AT, Roberts CJ, Robinson JA, Robinson RB, Robison SR, Rodriguez OR, Rogers SP, Rosen MD, Ross GF, Runkel M, Runtal AS, Sacks RA, Sailors SF, Salmon JT, Salmonson JD, Saunders RL, Schaffer JR, Schindler TM, Schmitt MJ, Schneider MB, Segraves KS, Shaw MJ, Sheldrick ME, Shelton RT, Shiflett MK, Shiromizu SJ, Shor M, Silva LL, Silva SA, Skulina KM, Smauley DA, Smith BE, Smith LK, Solomon AL, Sommer S, Soto JG, Spafford NI, Speck DE, Springer PT, Stadermann M, Stanley F, Stone TG, Stout EA, Stratton PL, Strausser RJ, Suter LJ, Sweet W, Swisher MF, Tappero JD, Tassano JB, Taylor JS, Tekle EA, Thai C, Thomas CA, Thomas A, Throop AL, Tietbohl GL, Tillman JM, Town RP, Townsend SL, Tribbey KL, Trummer D, Truong J, Vaher J, Valadez M, Van Arsdall P, Van Prooyen AJ, Vergel de Dios EO, Vergino MD, Vernon SP, Vickers JL, Villanueva GT, Vitalich MA, Vonhof SA, Wade FE, Wallace RJ, Warren CT, Warrick AL, Watkins J, Weaver S, Wegner PJ, Weingart MA, Wen J, White KS, Whitman PK, Widmann K, Widmayer CC, Wilhelmsen K, Williams EA, Williams WH, Willis L, Wilson EF, Wilson BA, Witte MC, Work K, Yang PS, Young BK, Youngblood KP, Zacharias RA, Zaleski T, Zapata PG, Zhang H, Zielinski JS, Kline JL, Kyrala GA, Niemann C, Kilkenny JD, Nikroo A, Van Wonterghem BM, Atherton LJ, and Moses EI
Abstract: We demonstrate the hohlraum radiation temperature and symmetry required for ignition-scale inertial confinement fusion capsule implosions. Cryogenic gas-filled hohlraums with 2.2 mm-diameter capsules are heated with unprecedented laser energies of 1.2 MJ delivered by 192 ultraviolet laser beams on the National Ignition Facility. Laser backscatter measurements show that these hohlraums absorb 87% to 91% of the incident laser power resulting in peak radiation temperatures of T(RAD)=300 eV and a symmetric implosion to a 100 μm diameter hot core., (© 2011 American Physical Society)
Published: 2011
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38. Symmetric inertial confinement fusion implosions at ultra-high laser energies.

Author: Glenzer SH, MacGowan BJ, Michel P, Meezan NB, Suter LJ, Dixit SN, Kline JL, Kyrala GA, Bradley DK, Callahan DA, Dewald EL, Divol L, Dzenitis E, Edwards MJ, Hamza AV, Haynam CA, Hinkel DE, Kalantar DH, Kilkenny JD, Landen OL, Lindl JD, LePape S, Moody JD, Nikroo A, Parham T, Schneider MB, Town RP, Wegner P, Widmann K, Whitman P, Young BK, Van Wonterghem B, Atherton LJ, and Moses EI
Abstract: Indirect-drive hohlraum experiments at the National Ignition Facility have demonstrated symmetric capsule implosions at unprecedented laser drive energies of 0.7 megajoule. One hundred and ninety-two simultaneously fired laser beams heat ignition-emulate hohlraums to radiation temperatures of 3.3 million kelvin, compressing 1.8-millimeter-diameter capsules by the soft x-rays produced by the hohlraum. Self-generated plasma optics gratings on either end of the hohlraum tune the laser power distribution in the hohlraum, which produces a symmetric x-ray drive as inferred from the shape of the capsule self-emission. These experiments indicate that the conditions are suitable for compressing deuterium-tritium-filled capsules, with the goal of achieving burning fusion plasmas and energy gain in the laboratory.
Published: 2010
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39. Tuning the implosion symmetry of ICF targets via controlled crossed-beam energy transfer.

Author: Michel P, Divol L, Williams EA, Weber S, Thomas CA, Callahan DA, Haan SW, Salmonson JD, Dixit S, Hinkel DE, Edwards MJ, Macgowan BJ, Lindl JD, Glenzer SH, and Suter LJ
Abstract: Radiative hydrodynamics simulations of ignition experiments show that energy transfer between crossing laser beams allows tuning of the implosion symmetry. A new full-scale, three-dimensional quantitative model has been developed for crossed-beam energy transfer, allowing calculations of the propagation and coupling of multiple laser beams and their associated plasma waves in ignition hohlraums. This model has been implemented in a radiative-hydrodynamics code, demonstrating control of the implosion symmetry by a wavelength separation between cones of laser beams.
Published: 2009
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