Search

Your search keyword '"Terekhin, Pavel"' showing total 101 results
Start Over Author "Terekhin, Pavel"
101 results on '"Terekhin, Pavel"'

1. Orthorecursive expansions generated by the Szego kernel

Author

Terekhin, Pavel A.

Subjects
reproducing kernel hilbert space, hardy space, szego kernel, orthorecursive expansion, frame, Mathematics, QA1-939
Abstract

This article considers systems of subspaces of the Hardy space generated by the Szego kernel. The main result of the work is to establish the convergence of orthorecursive expansions with respect to the considered systems of subspaces. Note that the conditions for the convergence of orthorecursive expansions prove to be somewhat more restrictive compared to the previously obtained conditions for the convergence of order-preserving weak greedy algorithms and frame expansions.

Published
2023
Full Text
View/download PDF

2. Time-resolved spectral densities of non-thermal electrons in gold

Author

Seibel, Christopher, Uehlein, Markus, Held, Tobias, Terekhin, Pavel N., Weber, Sebastian T., and Rethfeld, Baerbel

Subjects
Physics - Applied Physics, Condensed Matter - Mesoscale and Nanoscale Physics
Abstract

Noble-metal nanoparticles for photocatalysis have become a major research object in recent years due to their plasmon-enhanced strong light-matter interaction. The dynamics of the hot electrons in the noble metal are crucial for the efficiency of the photocatalysis and for the selective control of reactions. In this work, we present a kinetic description of the non-equilibrium electron distribution created by photoexcitation, based on full energy-resolved Boltzmann collision integrals for the laser excitation as well as for the electron-electron thermalization. The laser-induced electronic non-equilibrium and the inherently included secondary electron generation govern the dynamics of non-thermal electrons. Applying our method to gold, we show a significant dependence of hot electron dynamics on kinetic energy. Specifically, the timescales of the relaxation as well as the qualitative behavior are depending on the evaluated energy window. During the thermalization processes there are cases of increasing electron density as well as of decreasing electron density. Studying the influence of excitation parameters, we find that the photon energy and the fluence of the exciting laser can be tuned to influence not only the initial excitation but also the subsequent characteristics of the time-resolved electronic spectral density dynamics. The electronic thermalization including secondary electron generation leads to time-dependent spectral densities which differ from their specific final equilibrium values for picoseconds after irradiation ended.

Published
2023

3. Energy and Momentum Distribution of Surface Plasmon-induced Hot Carriers Isolated via Spatiotemporal Separation

Author

Hartelt, Michael, Terekhin, Pavel N., Eul, Tobias, Mahro, Anna-Katharina, Frisch, Benjamin, Prinz, Eva, Rethfeld, Baerbel, Stadtmüller, Benjamin, and Aeschlimann, Martin

Subjects
Condensed Matter - Mesoscale and Nanoscale Physics, Physics - Optics
Abstract

Understanding the differences between photon-induced and plasmon-induced hot electrons is essential for the construction of devices for plasmonic energy conversion. The mechanism of the plasmonic enhancement in photochemistry, photocatalysis, and light-harvesting and especially the role of hot carriers is still heavily discussed. The question remains, if plasmon-induced and photon-induced hot carriers are fundamentally different, or if plasmonic enhancement is only an effect of field concentration producing these carriers in greater numbers. For the bulk plasmon resonance, a fundamental difference is known, yet for the technologically important surface plasmons this is far from being settled. The direct imaging of surface plasmon-induced hot carriers could provide essential insight, but the separation of the influence of driving laser, field-enhancement, and fundamental plasmon decay has proven to be difficult. Here, we present an approach using a two-color femtosecond pump-probe scheme in time-resolved 2-photon-photoemission (tr-2PPE), supported by a theoretical analysis of the light and plasmon energy flow. We separate the energy and momentum distribution of the plasmon-induced hot electrons from the one of photoexcited electrons by following the spatial evolution of photoemitted electrons with energy-resolved Photoemission Electron Microscopy (PEEM) and Momentum Microscopy during the propagation of a Surface Plasmon Polariton (SPP) pulse along a gold surface. With this scheme, we realize a direct experimental access to plasmon-induced hot electrons. We find a plasmonic enhancement towards high excitation energies and small in-plane momenta, which suggests a fundamentally different mechanism of hot electron generation, as previously unknown for surface plasmons.

Published
2021
Full Text
View/download PDF

4. Sequences of dilations and translations equivalent to the Haar system in $L^p$-spaces

Author

Astashkin, Sergey V. and Terekhin, Pavel A.

Subjects
Mathematics - Functional Analysis, 46E30, 46E15, 46E20
Abstract

Let $f=\sum_{k=0}^{\infty}c_kh_{2^k}$, where $\{h_n\}$ is the classical Haar system, $c_k\in\mathbb{C}$. Given a $p\in (1,\infty)$, we find the sharp conditions, under which the sequence $\{f_n\}_{n=1}^\infty$ of dilations and translations of $f$ is a basis in the space $L^p[0,1]$, equivalent to $\{h_n\}_{n=1}^\infty$. The results obtained depend substantially on whether $p\ge 2$ or $1

Published
2020

5. The Atomistic Perspective of Nanoscale Laser Ablation

Author

Ivanov, Dmitry S., Terekhin, Pavel N., Kudryashov, Sergey I., Klimentov, Sergey M., Kabashin, Andrei V., Garcia, Martin E., Rethfeld, Baerbel, Zavestovskaya, Irina N., Lotsch, H.K.V., Founding Editor, Rhodes, William T., Editor-in-Chief, Adibi, Ali, Series Editor, Asakura, Toshimitsu, Series Editor, Hänsch, Theodor W., Series Editor, Krausz, Ferenc, Series Editor, Masters, Barry R., Series Editor, Midorikawa, Katsumi, Series Editor, Venghaus, Herbert, Series Editor, Weber, Horst, Series Editor, Weinfurter, Harald, Series Editor, Kobayashi, Kazuya, Series Editor, Markel, Vadim, Series Editor, Stoian, Razvan, editor, and Bonse, Jörn, editor

Published
2023
Full Text
View/download PDF

6. Representing systems of dilations and translations in symmetric spaces

Author

Astashkin, Sergey V. and Terekhin, Pavel A.

Subjects
Mathematics - Functional Analysis, 46E30, 46B70, 42C15, 46B15
Abstract

Let $X$ be an arbitrary separable symmetric space on $[0,1]$. By using a combination of the frame approach and the notion of the multiplicator space $\mathscr{M}(X)$ of $X$ with respect to the tensor product, we investigate the problem when the sequence of dyadic dilations and translations of a function $f\in X$ is a representing system in the space $X$. The main result reads that this holds whenever $\int_0^1 f(t)\,dt\ne 0$ and $f\in \mathscr{M}(X)$. Moreover, the condition $f\in\mathscr{M}(X)$ turns out to be sharp in a certain sense. In particular, we prove that a decreasing nonnegative function $f$, $f\ne 0$, from a Lorentz space $\varLambda_{\varphi}$ generates an absolutely representing system of dyadic dilations and translations in $\varLambda_{\varphi}$ if and only if $f\in\mathscr{M}(\varLambda_{\varphi})$., Comment: 19 pages

Published
2019

7. A representing system generated by the Szeg\'{o} kernel for the Hardy space

Author

Speransky, Konstantin S. and Terekhin, Pavel A.

Subjects
Mathematics - Functional Analysis
Abstract

In this paper we give an explicit construction of a representing system generated by the Szeg\"{o} kernel for the Hardy space. Thus we answer an open question posed by Fricain, Khoi and Lef\`evre. We use frame theory to prove the main result.

Published
2018

9. Key role of surface plasmon polaritons in generation of periodic surface structures following single-pulse laser irradiation of a gold step edge

Author

Terekhin Pavel N., Oltmanns Jens, Blumenstein Andreas, Ivanov Dmitry S., Kleinwort Frederick, Garcia Martin E., Rethfeld Baerbel, Ihlemann Jürgen, and Simon Peter

Subjects
femtosecond lasers, lipss, nanostructuring, surface modification, surface plasmon polariton, ultrafast optics, Physics, QC1-999
Abstract

Understanding the mechanisms and controlling the possibilities of surface nanostructuring is of crucial interest for both fundamental science and application perspectives. Here, we report a direct experimental observation of laser-induced periodic surface structures (LIPSS) formed near a predesigned gold step edge following single-pulse femtosecond laser irradiation. Simulation results based on a hybrid atomistic-continuum model fully support the experimental observations. We experimentally detect nanosized surface features with a periodicity of ∼300 nm and heights of a few tens of nanometers. We identify two key components of single-pulse LIPSS formation: excitation of surface plasmon polaritons and material reorganization. Our results lay a solid foundation toward simple and efficient usage of light for innovative material processing technologies.

Published
2021
Full Text
View/download PDF

14. A new Time-of-flight detector for the R$$^3$$B setup

Author

Heil, M., Kelić-Heil, A., Bott, L., Almusidi, T., Alvarez-Pol, H., Atar, L., Atkins, L., Aumann, T., Benlliure, J., Boretzky, K., Brückner, B., Cabanelas, P., Caesar, C., Casarejos, E., Cederkall, J., Chulkov, L., Corsi, A., Dueñas, J., Erbacher, P., Rodriguez, S. Escribano, Falduto, A., Feijoo, M., Frotscher, A., Frühauf, J., Gašparić, I., Borge, M. J. G., Gerbig, J., Gernhäuser, R., Gilbert, M., Glorius, J., Gnoffo, B., Göbel, K., Caamaño, D. Gonzalez, Grein, A., Hartig, A.-L., Heggen, H., Heine, M., Heinz, A., Holl, M., Homm, I., Horvat, A., Johansson, H. T., Jonson, B., Kalantar-Nayestanaki, N., Kamenyero, A., Khodaparast, A., Kiselev, O., Klenze, P., Knösel, M., Koch, K., Körper, D., Kröll, T., Kurtulgil, D., Kurz, N., Löher, B., Langer, C., Lehr, C., Litvinov, Y., Liu, H., Morales, S. Murillo, Nácher, E., Nilsson, T., Park, J., Paschalis, S., Pellegri, L., Perea, A., Petri, M., Pohl, T., Ponnath, L., Popočovski, R., Reifarth, R., Rhee, H.-B., Sanchez, J. L. Rodriguez, Rossi, D., Sürder, C., Sánchez-Benítez, A. M., Savran, D., Scheit, H., Simon, H., Slavkovská, Z., Storck-Dutine, S., Sun, Y., Törnqvist, H. T., Tanaka, J., Tengblad, O., Thomas, B., Varga, L., Volknandt, M., Wagner, V., Wamers, F., Zanetti, L., Aliotta, Marialuisa, Alkhazov, Georgy, Almusidi, Tahani, Alvarez-Pol, Hector, André, Paul, Assié, Marlène, Atar, Leyla, Atkins, Liam, Audouin, Laurent, Aumann, Thomas, Authelet, Gilles, Ayyad, Yassid, Bajzek, Martin, Barriere, Antoine, Beceiro-Novo, Saul, Belogurov, Sergey, Bemmerer, Daniel, Benlliure, Jose, Bertulani, Carlos, Bezbakh, Andrey, Blanchon, Guillaume, Boos, Carl Georg, Boretzky, Konstanze, Borge, Maria J., Borzov, Ivan, Bott, Lukas, Brückner, Benjamin, Cabanelas Eiras, Pablo, Caesar, Christoph, Calinescu, Stefana, Casarejos, Enrique, Catford, Wilton, Cederkall, Joakim, Chatillon, Audrey, Cherciu, Madalin Ilie, Chishti, M Majid Rauf, Chulkov, Leonid, Cirstian, Andreea, Corsi, Anna, Cortina-Gil, Dolores, Cravo, Edgar, Crespo, Raquel, Danilov, Andrey, de Angelis, Giacomo, De Filippo, Enrico, Diaz-Torres, Alexis, Dickel, Timo, Dobrovolsky, Alexander, Doornenbal, Pieter, Duer, Meytal, Egelhof, Peter, Elekes, Zoltan, Enders, Joachim, Erbacher, Philipp, Escribano Rodriguez, Sonia, Fahlander, Claes, Falduto, Ashton, Feijoo, Martina, Fernandez Ruiz, Daniel, Fomichev, Andrey, Fulop, Zsolt, Galaviz Redondo, Daniel, Galiana, Elisabet, García, Gabriel, García Távora, Vicente, Gasparic, Igor, Ge, Zhuang, Geissel, Hans, Geraci, Elena, Gerl, Jürgen, Gernhäuser, Roman, Gillibert, Alain, Glorius, Jan, Gnoffo, Brunilde, Göbel, Kathrin, Golovkov, Mikhail, Golovtsov, Victor, Golubev, Pavel, González Caamaño, David, Gorshkov, Alexander, Graña González, Antia, Gridnev, Anatoly, Gruzinskii, Nikolai, Guimaraes, Valdir, Harakeh, Muhsin N., Hartig, Anna-Lena, Heftrich, Tanja, Heggen, Henning, Heil, Michael, Heinz, Andreas, Hen, Or, Henrich, Corinna, Henriques, Ana, Hensel, Thomas, Holl, Matthias, Homm, Ilja, Horvat, Andrea, Horváth, Ákos, Hucka, Jan-Paul, Inglessi, Alexander, Jedele, Andrea, Jelavic Malenica, Desa, Jenegger, Tobias, Ji, Liancheng, Johansson, Håkan, Jonson, Björn, Jurado, Beatriz, Kahlbow, Julian, Kalantar-Nayestanaki, Nasser, Kamenyero, Armel, Kazantseva, Erika, Kelic-Heil, Aleksandra, Khanzadeev, Alexey, Kiselev, Oleg, Klenze, Philipp, Knyazev, Alexander, Koch, Karsten, Kogimtzis, Moschos, Kokubun, Kei, Korolev, Guerman, Körper, Daniel, Korsheninnikov, Alexey, Korten, Wolfram, Kozlenko, Nikolai, Krasilovskaja, Sabina, Kresan, Dmytro, Krivshich, Anatoly, Kröll, Thorsten, Krupko, Sergey, Kudaibergenova, Eleonora, Kunne Sohler, Dorottya, Kurtulgil, Deniz, Kurz, Nikolaus, Kuzmin, Evgeny, Kuznetsov, Viacheslav, Labiche, Marc, Lagni, Andrea, Langer, Christoph, Lányi, Zsombor, Lazarus, Ian, Le Fèvre, Arnaud, Leifels, Yvonne, Lepine-Szily, Alinka, Lewitowicz, Marek, Lihtar, Ivana, Linh, Bui, Litvinov, Yuri, Liu, Hongna, Löher, Bastian, Lommel, Bettina, Lorenz, Enis, Lukasik, Jerzy, Macchiavelli, Augusto, Maev, Evgeny, Maillertet, Charles, Maisuzenko, Dmitrii, Maj, Adam, Martorana, Nunzia Simona, Mauss, Benoît, Mayri, Christophe, Milhomens da Fonseca, Leandro, Morfouace, Pierre, Mozumdar, Nikhil, Mücher, Dennis, Murillo Morales, Silvia, Nacher, Enrique, Nikolskii, Evgenii, Nilsson, Thomas, Nociforo, Chiara, Nolden, Fritz, Nyman, Göran, Obertelli, Alexandre, Pagano, Emanuele Vincenzo, Panin, Valerii, Park, Joochun, Paschalis, Stefanos, Pei, Junchen, Perea, Angel, Petri, Marina, Piasetzky, Eli, Pietri, Stephane, Pirrone, Sara, Politi, Giuseppe, Pollacco, Emauel, Ponnath, Lukas, Potlog, Petru-Mihai, Prajapat, Rinku, Pritula, Roman, Qi, Hang, Rappold, Christophe, Reifarth, Rene, Revel, Aldric, Rhee, Han-Bum, Risitano, Fabio, Rodriguez Sanchez, Jose Luis, Rose, Luke, Rossi, Dominic, Rudigier, Matthias, Russotto, Paolo, Sánchez-Benítez, Ángel-Miguel, Sanjari, Shahab, Santamaria, Clementine, Sarantsev, Victor, Savran, Deniz, Scheidenberger, Christoph, Scheit, Heiko, Schmidt, Konrad, Simon, Haik, Simon, Johannes, Slavkovská, Zuzana, Slepnev, Roman, Sorlin, Olivier, Sousa, Tomás, Spiridon, Alexandra, Stan, Emil, Stanoiu, Mihai, Stefanescu, Alexandra, Stefanescu, Ionut, Storck-Dutine, Sonja, Stott, Aaron, Sun, Baohua, Sun, Yelei, Sürder, Christian, Taieb, Julien, Tanaka, Junki, Tanihata, Isao, Taniuchi, Ryo, Tengblad, Olof, Terekhin, Pavel, Teubig, Pamela, Törnqvist, Hans, Trache, Livius, Trautmann, Wolfgang, Trimarchi, Marina, Typel, Stefan, Uesaka, Tomohiro, Unsworth, Carl, Uvarov, Lev, Vandebrouck, Marine, Varga, Laszlo, Velardita, Simone, Velho, Paulo, Vencelj, Matjaz, Volknandt, Meiko, Volkov, Sergei, von Tresckow, Martin, Wagner, Andreas, Wamers, Felix, Wang, Yanzhao, Whitehead, Matthew, Wienholtz, Frank, Wimmer, Kathrin, Winkler, Martin, Xarepe, Manuel, Ye, Yanlin, Zacarias, Sabrina, Zamora Cardona, Juan Carlos, Zhang, Wei, Zhdanov, Andrei, Zhukov, Mikhail, Zilges, Andreas, Zuber, Kai, Département de Physique Nucléaire (ex SPhN) (DPHN), Institut de Recherches sur les lois Fondamentales de l'Univers (IRFU), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay, Institut Pluridisciplinaire Hubert Curien (IPHC), Université de Strasbourg (UNISTRA)-Université de Haute-Alsace (UHA) Mulhouse - Colmar (Université de Haute-Alsace (UHA))-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Grand Accélérateur National d'Ions Lourds (GANIL), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), R3B, Federal Ministry of Education and Research (Germany), Helmholtz International Center for FAIR, Ministerio de Ciencia e Innovación (España), Xunta de Galicia, Agencia Estatal de Investigación (España), Swedish Research Council, Science and Technology Facilities Council (UK), Royal Society (UK), Projekt DEAL, Energy and Sustainability Research Institute Groni, and Nuclear Energy

Subjects
Nuclear and High Energy Physics, ddc:530, [PHYS.PHYS.PHYS-INS-DET]Physics [physics]/Physics [physics]/Instrumentation and Detectors [physics.ins-det]
Abstract

19 pags., 16 figs., 8 tabs., We present the design, prototype developments and test results of the new time-of-flight detector (ToFD) which is part of the R3B experimental setup at GSI and FAIR, Darmstadt, Germany. The ToFD detector is able to detect heavy-ion residues of all charges at relativistic energies with a relative energy precision σΔE/ ΔE of up to 1% and a time precision of up to 14 ps (sigma). Together with an elaborate particle-tracking system, the full identification of relativistic ions from hydrogen up to uranium in mass and nuclear charge is possible., This work received support from BMBF (05P19RFFN1, 05P15RDFN1, 05P19RDFN1) and HIC for FAIR. J.P. has been supported by the Institute for Basic Science (IBS-R031-D1). E.C. has been supported by the Ministry of Science and Innovation in Spain (PGC2018-099746-B-C22). J.L.R.S. thanks the support from the Regional Government of Galicia under the program of postdoctoral fellowships ED481B-2017-002 and ED481D-2021-018. O.T. has been supported by AEI/FEDER, UE project No. PID2019-104390GB-I00. G.B., A.H., H.T.J., B.J. and T.N. have been supported by the Swedish Research Council under contract 2017-03839. This work was supported by the Royal Society and UK STFC awards ST/L005727/1, ST/P003885/1.

Published
2022
Full Text
View/download PDF

22. Magnetic-field assisted laser ablation of silicon

Author

Schäfer, Mareike, primary, Terekhin, Pavel N., additional, Kang, Yiyun, additional, Torosyan, Garik, additional, del Arco Fargas, Xavier, additional, Hirtle, Steffen, additional, Rethfeld, Baerbel, additional, and L’huillier, Johannes A., additional

Published
2021
Full Text
View/download PDF

25. Key role of surface plasmon polaritons in generation of periodic surface structures following single-pulse laser irradiation of a gold step edge.

Author

Terekhin, Pavel N., Oltmanns, Jens, Blumenstein, Andreas, Ivanov, Dmitry S., Kleinwort, Frederick, Garcia, Martin E., Rethfeld, Baerbel, Ihlemann, Jürgen, and Simon, Peter

Subjects
FEMTOSECOND pulses, POLARITONS, SURFACE structure, IRRADIATION, LASERS, GOLD, FEMTOSECOND lasers
Abstract

Understanding the mechanisms and controlling the possibilities of surface nanostructuring is of crucial interest for both fundamental science and application perspectives. Here, we report a direct experimental observation of laser-induced periodic surface structures (LIPSS) formed near a predesigned gold step edge following single-pulse femtosecond laser irradiation. Simulation results based on a hybrid atomistic-continuum model fully support the experimental observations. We experimentally detect nanosized surface features with a periodicity of ∼300 nm and heights of a few tens of nanometers. We identify two key components of single-pulse LIPSS formation: excitation of surface plasmon polaritons and material reorganization. Our results lay a solid foundation toward simple and efficient usage of light for innovative material processing technologies. [ABSTRACT FROM AUTHOR]

Published
2022
Full Text
View/download PDF

34. Lower Limb Movement Preparation in Chronic Stroke

Author

Rea, Massimiliano, primary, Rana, Mohit, additional, Lugato, Nicola, additional, Terekhin, Pavel, additional, Gizzi, Leonardo, additional, Brötz, Doris, additional, Fallgatter, Andreas, additional, Birbaumer, Niels, additional, Sitaram, Ranganatha, additional, and Caria, Andrea, additional

Published
2014
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results