title: Ð Ð°ÑÑÐµÑ Ð¸ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÑÐ»ÐµÐºÑÐ¾Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¼Ð¸ÐºÑÐ¾Ð²Ð¾Ð»Ð½Ð¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ° Ð½Ð° ÑÐ»ÑÐºÑÑÐ°ÑÐ¸ÑÑ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿Ð»Ð°Ð·Ð¼Ñ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð±ÑÑÑÑÐ¾Ð¹ ÑÐ¸Ð½ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Calculation and analysis of reflectometric signals of microwave beam scattering on plasma density fluctuations using fast synthetic diagnostics
Creators: name: ÐÐ¾Ð»Ð¸ÐºÐ¾Ð²Ð°, Ð¡Ð¾ÑÐ¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð²Ð¾Ð»Ð½Ñ Ð² Ð¿Ð»Ð°Ð·Ð¼Ðµ
ÑÐ¸Ð½ÑÐµÑÐ¸ÑÐµÑÐºÐ°Ñ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ°
Ð¿Ð¾Ð»Ð¾Ð¸Ð´Ð°Ð»ÑÐ½Ð°Ñ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐµÑÐ»ÐµÐºÑÐ¾Ð¼ÐµÑÑÐ¸Ñ
Ð³Ð¸ÑÐ¾ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ðµ ÑÑÐ½ÐºÑÐ¸Ð¸ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿Ð»Ð°Ð·Ð¼Ñ
Ð¾Ð±ÑÐºÐ½Ð¾Ð²ÐµÐ½Ð½Ð°Ñ Ð²Ð¾Ð»Ð½Ð°
ÑÐµÐ¾ÑÐµÐ¼Ð° Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾ÑÑÐ¸
Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾-ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
ÑÐ¾ÐºÐ°Ð¼Ð°Ðº Ð¤Ð¢-2
waves in plasma
synthetic diagnostics
poloidal fluctuation reflectrometry
gyrokinetic distributions of plasma the density
ordinary wave
reciptority theorem
cross-correlation analysis
tokamak FT-2

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ¸Ð½ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð´Ð¸Ð°Ð³Ð½Ð¾ÑÑÐ¸ÐºÐ¸ Ð¿Ð¾Ð»Ð¾Ð¸Ð´Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð-Ð²Ð¾Ð»Ð½Ð¾Ð²Ð¾Ð¹ ÑÐµÑÐ»ÐµÐºÑÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð½Ð° ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐµ Ð¤Ð¢-2. ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð»ÑÑ ÑÐ»ÐµÐ´ÑÑÑÐ¸Ð¹ Ð¼ÑÑÐ»ÐµÐ½Ð½ÑÐ¹ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ.Â  ÐÐ»Ð°Ð·Ð¼Ð° Ð·Ð¾Ð½Ð´Ð¸ÑÑÐµÑÑÑ Ð¡ÐÐ§-Ð²Ð¾Ð»Ð½Ð¾Ð¹ Ð¾Ð±ÑÐºÐ½Ð¾Ð²ÐµÐ½Ð½Ð¾Ð¹ Ð¿Ð¾Ð»ÑÑÐ¸Ð·Ð°ÑÐ¸Ð¸. ÐÐ¾Ð»Ð½Ð° ÑÐ°ÑÑÐµÐ¸Ð²Ð°ÐµÑÑÑ Ð½Ð° ÑÐ»ÑÐºÑÑÐ°ÑÐ¸ÑÑ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸, Ð¿ÑÐ¸ÑÐµÐ¼ Ð¼Ð°ÐºÑÐ¸Ð¼ÑÐ¼ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÑÑÑ Ð² Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð¾ÑÑÐµÑÐºÐ¸, ÑÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÑÑÑ, ÑÑÐ¾ ÑÐ°ÑÑÐµÑÐ½Ð½ÑÐ¹ ÑÐ¸Ð³Ð½Ð°Ð» Ð½ÐµÑÐµÑ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ñ Ð¾ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸ÑÑ ÑÑÐ¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸. Ð Ð°ÑÑÐµÑÐ½Ð½ÑÐ¹ ÑÐ¸Ð³Ð½Ð°Ð» Ð»Ð¾Ð²Ð¸ÑÑÑ Ð´Ð²ÑÐ¼Ñ Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÑÑÐ¸Ð¼Ð¸ Ð°Ð½ÑÐµÐ½Ð½Ð°Ð¼Ð¸, ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð½ÑÐ¼Ð¸ ÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ð¾ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð¸Ð·Ð»ÑÑÐ°ÑÑÐµÐ¹. ÐÐ½ÑÐµÐ½Ð½Ñ ÑÐ°ÑÐ¿Ð¾Ð»Ð°Ð³Ð°ÑÑÑÑ ÑÐ¾ ÑÑÐ¾ÑÐ¾Ð½Ñ ÑÐ»Ð°Ð±Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ñ, Ð¸Ð·Ð»ÑÑÐ°ÑÑÐ°Ñ Ð°Ð½ÑÐµÐ½Ð½Ð° Ð»ÐµÐ¶Ð¸Ñ Ð² ÑÐºÐ²Ð°ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÐ¸ ÑÐ¾ÐºÐ°Ð¼Ð°ÐºÐ°, Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÑÑÐ¸Ðµ ÑÐ¸Ð¼Ð¼ÐµÑÑÐ¸ÑÐ½Ñ Ð¾ÑÐ½Ð¾ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾ Ð½ÐµÐµ. ÐÑÐµ ÑÑÐ¸ Ð°Ð½ÑÐµÐ½Ð½Ñ ÑÐ¼Ð¾ÑÑÑÑ Ð½Ð° ÑÐµÐ½ÑÑ Ð¿Ð»Ð°Ð·Ð¼ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐ½ÑÑÐ°. Ð¡Ð¸Ð³Ð½Ð°Ð»Ñ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ ÑÐ°ÑÑÑÐ¸ÑÑÐ²Ð°Ð»Ð¸ÑÑ Ð¿Ð¾ ÑÐµÐ¾ÑÐµÐ¼Ðµ Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾ÑÑÐ¸ (Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ð¸ Ñ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐµÐ¾ÑÐ¸ÐµÐ¹ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ ÐÐ¾ÑÐ½Ð°). Ð Ð°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸, Ð²ÑÐ¾Ð´ÑÑÐ¸Ðµ Ð² Ð¿Ð¾Ð´ÑÐ½ÑÐµÐ³ÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð²ÑÑÐ°Ð¶ÐµÐ½Ð¸Ðµ Ð´Ð»Ñ ÑÐ¸Ð³Ð½Ð°Ð»Ð°, Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð»Ð¸ÑÑ Ð³Ð¸ÑÐ¾ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÐºÐ¾Ð´Ð¾Ð¼ ELMFIRE; ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð¾Ð»Ñ ÑÐ°ÑÑÑÐ¸ÑÑÐ²Ð°-Ð»Ð¸ÑÑ Ð¿Ð¾Ð»Ð½Ð¾Ð²Ð¾Ð»Ð½Ð¾Ð²ÑÐ¼ ÐºÐ¾Ð´Ð¾Ð¼ WaveTOP2D. ÐÐ°Ð»ÐµÐµ, Ð¼ÐµÑÐ¾Ð´Ð°Ð¼Ð¸ Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾-ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð²ÑÑÐ¸ÑÐ»ÑÐ»Ð°ÑÑ Ð¿Ð¾Ð»Ð¾Ð¸Ð´Ð°Ð»ÑÐ½Ð°Ñ ÑÐºÐ¾ÑÐ¾ÑÑÑ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð²Ð¾Ð»Ð½Ñ. ÐÐ¾Ð»ÑÑÐµÐ½Ð½Ð¾Ðµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ ÑÑÐ°Ð²Ð½Ð¸Ð²Ð°Ð»Ð¾ÑÑ Ñ Ð°Ð½Ð°Ð»Ð¾Ð³Ð¸ÑÐ½ÑÐ¼, Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¼ Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾ Ð¸Ð· ÑÐ°Ð¼Ð¸Ñ Ð³Ð¸ÑÐ¾ÐºÐ¸Ð½ÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ð¹ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¹ Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ¸.Â  ÐÐ¾ÑÐ»ÐµÐ´Ð½ÐµÐµ Ð²ÑÑÐ¸ÑÐ»ÑÐ»Ð¾ÑÑ Ð´Ð²ÑÐ¼Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ð°Ð¼Ð¸: Ð¿ÑÑÐµÐ¼ Ð²Ð·Ð°Ð¸Ð¼Ð½Ð¾-ÐºÐ¾ÑÑÐµÐ»ÑÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ½ÑÑ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ð¹ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¹ Ð¸ Ð¿Ð¾ Ð½Ð°ÐºÐ»Ð¾Ð½Ñ Ð¼Ð¾ÑÐ½Ð¾ÑÑÐ½Ð¾Ð³Ð¾ ÑÐ¿ÐµÐºÑÑÐ° Ð¿Ð»Ð¾ÑÐ½Ð¾ÑÑÐ½ÑÑ ÑÐ»ÑÐºÑÑÐ°ÑÐ¸Ð¹. Ð¡ÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð´Ð°Ð»Ð¾ ÑÐ°Ð·ÑÐ¼Ð½Ð¾Ðµ ÑÐ¾Ð²Ð¿Ð°Ð´ÐµÐ½Ð¸Ðµ. Ð¢Ð°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼, Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° ÑÐ°Ð±Ð¾ÑÐ¾ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð°.
description: The given work is devoted to modeling synthetic diagnostics of poloidal fluctuation O-wave reflectometry on the FT-2 tokamak. The following thought experiment was simulated. The plasma is probed by a microwave with ordinary polarization (O-mode). The wave is scattered by density fluctuations, and the scattering maximum is assumed to be in the region near the cut-off surface, thus it is assumed that the scattered signal carries information about fluctuations in this region. The scattered signal is received by two antennas located symmetrically relative to the probing one. The antennas are located at the low field side of the tokamak, the probing antenna lies in the equatorial plane of the tokamak, and the receiving antennas are symmetrical relative to it. All three antennas are directed to the center of the plasma core. The scattering signals were calculated using the reciprocity theorem (that corresponds to Bornâs linear theory of scattering). The distributions of density fluctuations included in the integrand for the signal were modeled with the ELMFIRE gyrokinetic code; electric fields were calculated using the full-wave code Wa-veTOP2D. Next, using the methods of cross-correlation analysis of scattering signals, the poloidal velocity of fluctuations of the wave scattering region was calculated. The obtained value was compared with a similar one calculated directly from the gyrokinetic distributions of density fluctuations themselves. The latter was calculated in two ways: by cross-correlation analysis of density distributions of fluctuations and by the tilt of the power spectrum of density fluctuations. The comparison yielded a reasonable agreement. Thus, the efficiency of the method has been demonstrated.