Summary
A theory is given for i) the quadratic Stark shift and ii) the line broadening of the allowed line in the three-level heliumlike atomic spectra of the strongly turbulent plasma in a laser field and in a three-dimensional stochastic electric field. The latter is represented in the form of a three-dimensional Fourier series with different random amplitudes and random phases for each vector component of the wave modes, which simulates a perturbing vector field varying with respect to intensity and direction in a random manner during an atomic transition. The line shape function, which is a moment of the distribution function of the random amplitudes and random phases of the stochastic field, is evaluated by statistical methods. A simple analytical formula for the spectral shift of the allowed line is obtained. Discussion is given for the validity of this theory.
Riassunto
Si fornisce una teoria per i) lo spostamento quadratico di Stark e ii) allargamento di linea della linea permessa negli spettri atomici a tre livelli del tipo dell'elio del plasma fortemente turbolento in un campo di laser e in un campo elettrico stocastico tridimensionale. Quest'ultimo è rappresentato sotto forma di una serie di Fourier tridimensionale con diverse ampiezze e fasi casuali per ogni vettore componente dei modi d'onda, che simula un campo vettoriale di perturbazione che varia rispetto all'intensità e alla direzione in modo casuale durante una transizione atomica. La funzione della forma della linea, che è una parte della funzione di distribuzione delle ampiezze casuali e delle fasi casuali del campo stocastico, è valutata mediante metodi statistici. Si ottiene una semplice formula per lo spostamento spettrale della linea permessa. Si fornisce una discussione sulla validità di questa teoria.
Резюме
Предлагается теория квадратичного Штрак-эффекта и уширения линии для разрешенной линии в трехуровневых гелиевоподобных атомных спектрах в случае сильно турбулентной плазмы в поле лазера и трехмерном стохастическом электрическом поле. Стохастическое электрическое поле представляетя в виде трехмерного ряда Фурье с различными случайными амплитудами и случайными фазами для каждой векторной компоненты волновых мод, которые имитируют векторное поле, изменяющееся случайным образом по интенсивности и направлению во время атомного перехода. Функция формы линии, которая представляет модент функции распределения случайных амплитуд и случайных фаз стохастического поля, вычисляется с помощью статистических методов. Получается простая аналитическая формула для спектрального сдвига разрешенной линии. Проводится обсуждение справедливости предложенной теории.
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This work is supported in part by Ministry of Education, Korea.
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Kim, S.H. Stark shift and line broadening in three-dimensional stochastic fields of a helium plasma. Nuov Cim B 44, 409–422 (1978). https://doi.org/10.1007/BF02726804
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DOI: https://doi.org/10.1007/BF02726804