1. Application of synthetic diagnostics of Doppler backscattering to investigation of density fluctuations on the tokamak 'Globus-M2'
- Subjects
ÑÑÑбÑленÑноÑÑÑ ,Born approximation ,боÑновÑкое пÑиближение ,wave resolution ,ÐопплеÑовÑÐºÐ°Ñ ÑеÑлекÑомеÑÑÐ¸Ñ ,turbulence ,волновое ÑазÑеÑение ,гиÑокинеÑиÑеÑкое моделиÑование ,backscattering ,пÑоÑÑÑанÑÑвенное ÑазÑеÑение ,ÑлÑкÑÑаÑии плоÑноÑÑи ,Ñокамак "ÐлобÑÑ-Ð2" ,обÑаÑное ÑаÑÑеÑние ,density fluctuations ,Doppler reflectometry ,gyrokinetic modeling ,"Globus-M2" tokamak ,spatial resolution - Abstract
Тема вÑпÑÑкной квалиÑикаÑионной ÑабоÑÑ: «ÐÑименение ÑинÑеÑиÑеÑкой диагноÑÑики допплеÑовÑкого обÑаÑного ÑаÑÑеÑÐ½Ð¸Ñ Ð´Ð»Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑлÑкÑÑаÑий плоÑноÑÑи на Ñокамаке âÐлобÑÑ-Ð2â».ÐÐ°Ð½Ð½Ð°Ñ ÑабоÑа поÑвÑÑена ÑазÑабоÑке ÑинÑеÑиÑеÑкой диагноÑÑики допплеÑовÑкого обÑаÑного ÑаÑÑеÑÐ½Ð¸Ñ Ð´Ð»Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑлÑкÑÑаÑий плоÑноÑÑи на Ñокамаке «ÐлобÑÑ-Ð2». ÐÑновной задаÑей пÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑинÑеÑиÑеÑкой диагноÑÑики ÑвлÑеÑÑÑ Ð´Ð¾ÑÑижение пÑавилÑной инÑеÑпÑеÑаÑии ÑкÑпеÑименÑалÑнÑÑ Ð´Ð°Ð½Ð½ÑÑ . СинÑезиÑование Ñигнала пÑоизводиÑÑÑ Ð² боÑновÑком пÑиближении, когда ÑлÑкÑÑаÑии ÑвлÑÑÑÑÑ Ð¼Ð°Ð»Ñм возмÑÑением Ñоновой плоÑноÑÑи и ÑаÑÑеÑние можно ÑÑиÑаÑÑ Ð»Ð¸Ð½ÐµÐ¹Ð½Ñм. ÐоделиÑование оÑновано на ÑаÑÑÑÑе двÑмеÑной пÑоÑÑÑанÑÑвенной веÑовой ÑÑнкÑии в боÑновÑком пÑиближении. Ð ÑÐ°Ð¼ÐºÐ°Ñ Ð´Ð°Ð½Ð½Ð¾Ð³Ð¾ пÑÐ¸Ð±Ð»Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¾Ð¿ÑеделÑеÑÑÑ Ð²ÑÑажение Ð´Ð»Ñ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑного квадÑаÑÑÑного Ñигнала Ñ ÑлÑкÑÑаÑиÑми плоÑноÑÑи пÑи заданнÑÑ Ð¿Ð°ÑамеÑÑÐ°Ñ Ð·Ð¾Ð½Ð´Ð¸ÑованиÑ. Рданной ÑабоÑе бÑла ÑазÑабоÑана ÑеноменологиÑеÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²Ð¾Ð·Ð¼ÑÑениÑ, имеÑÑÐ°Ñ Ð¿ÐµÑиодиÑеÑкÑÑ ÑÑÑÑкÑÑÑÑ Ñ Ð²ÑделеннÑми волновÑми векÑоÑами. Ðа оÑнове Ñакого ÑеÑÑового возмÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»ÑÑено пÑоÑÑÑанÑÑвенное и волновое ÑазÑеÑение диагноÑÑики Ð´Ð»Ñ Ñокамака «ÐлобÑÑ-Ð2». С иÑполÑзованием гиÑокинеÑиÑеÑкой и пилинг-баллоной моделей ÑлÑкÑÑаÑий ÑаÑÑÑиÑÐ°Ð½Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ñ Ð´ÐµÑекÑоÑа и ÑпекÑÑÑ ÑÑÐ¸Ñ Ñигналов. РезÑлÑÑаÑÑ ÑабоÑÑ Ð² бÑдÑÑем бÑдÑÑ Ð¸ÑполÑзоваÑÑÑÑ Ð´Ð»Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð´Ð°Ð½Ð½ÑÑ ÑинÑеÑиÑеÑкой и ÑкÑпеÑименÑалÑной диагноÑÑик допплеÑовÑкой ÑеÑлекÑомеÑÑии. Также даннÑй ÑаÑÑÑÑ Ð¿Ð¾Ð·Ð²Ð¾Ð»Ð¸Ñ Ð»ÑÑÑе инÑеÑпÑеÑиÑоваÑÑ Ð´Ð°Ð½Ð½Ñе ÑкÑпеÑименÑалÑной диагноÑÑики, пÑоекÑиÑоваÑÑ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÑ Ð´Ð¾Ð¿Ð¿Ð»ÐµÑовÑкой ÑеÑлекÑомеÑÑии Ð´Ð»Ñ Ð½Ð¾Ð²ÑÑ ÑÑÑановок, пÑовеÑÑÑÑ Ð¿Ð¾Ð»Ð½Ð¾Ð²Ð¾Ð»Ð½Ð¾Ð²Ñе ÐºÐ¾Ð´Ñ Ð² ÑлÑÑае линейного ÑаÑÑеÑниÑ., The subject of the graduate qualification work is «Application of synthetic diagnostics of Doppler backscattering to investigation of density fluctuations on the tokamak "Globus-M2"».This work is devoted to the development of synthetic diagnostics of Doppler backscattering for the study of density fluctuations on the "Globus-M2" tokamak. The main task of using synthetic diagnostics is to achieve the correct interpretation of experimental data. The signal is synthesized in the Born approximation, when the fluctuations are a small perturbation of the background density and the scattering can be considered linear. The simulation is based on the calculation of a two-dimensional spatial weight function in the Born approximation. Within the framework of this approximation, an expression is determined for a complex quadrature signal with density fluctuations for given probing parameters. In this paper, a phenomenological perturbation model has been developed that has a periodic structure with distinguished wave vectors. Based on such a test disturbance, the spatial and wave resolution of diagnostics for the "Globus-M2" tokamak was obtained. Using the gyrokinetic and peeling-ballooning models of fluctuations, the detector signals and the spectra of these signals are calculated. The results of the work in the future will be used to compare the data of synthetic and experimental Doppler reflectometry diagnostics. Also, this calculation will make it possible to better interpret experimental diagnostic data, design Doppler reflectometry diagnostics for new installations, and check full-wave codes in the case of linear scattering.
- Published
- 2022
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