Automation and modeling in design and management Automation and modeling in design and management Автоматизация и моделирование в проектировании и управлении 2658-3488 2658-6436 42410 10.30987/2658-6436-2021-1-4-12 Математическое моделирование, численные методы и комплексы программ Mathematical modeling, numerical methods and program complexes Математическое моделирование, численные методы и комплексы программ MATHEMATICAL MODELING OF ENERGY SPECTRA FORMED AT ACCELERATING THE ELECTRONS BY RELATIVISTIC INTENSIVE GAUSSIAN AND LAGUERRE LASER PULSES МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ ЭНЕРГЕТИЧЕСКИХ СПЕКТРОВ, ФОРМИРУЮЩИХСЯ ПРИ УСКОРЕНИИ ЭЛЕКТРОНОВ РЕЛЯТИВИСТСКИ ИНТЕНСИВНЫМИ ГАУССОВСКИМИ И ЛАГЕРРОВСКИМИ ЛАЗЕРНЫМИ ИМПУЛЬСАМИ Ширяев Олег Борисович Shiryaev Oleg Borisovich DrOlegBShiryaev@gmail.com

доктор физико-математических наук;

doctor of physical and mathematical sciences;

 Институт общей физики им. А.М. Прохорова РАН Москва Россия Institute of General Physics named after A.M. Prokhorov RAS Москва Russian Federation 2021 1 4 12 https://zh-szf.ru/en/nauka/article/42410/view

Построена математическая модель, описывающая распространения лазерных импульсов в вакууме с учетом поправок, обусловленных их конечной длительностью. На ее основе с помощью релятивистских уравнений Ньютона с соответствующей силой Лоренца осуществлено моделирование энергетических спектров ансамбля электронов релятивистски интенсивным лазерным излучением. Характеристики данных спектров исследовались для случаев гауссовских и лагерровских оптических импульсов. Электронные спектры в фиксированных угловых диапазонах локализуются вокруг релятивистских максимумов в случае гауссовских импульсов, но существенно немоноэнергетичны в случае лагерровских импульсов.

A mathematical model is constructed that describes the propagation of laser pulses in vacuum, taking into account the corrections due to their finite duration. On its basis, using Newton relativistic equations with the corresponding Lorentz force, the energy spectra of an ensemble of electrons are simulated by relativistically intense laser radiation. The characteristics of these spectra are studied for the cases of Gaussian and Laguerre optical pulses. Electronic spectra in the fixed angular ranges are localized around the relativistic maxima in the case of Gaussian pulses, but are substantially non-monoenergetic in the case of Laguerre pulses.

 релятивистская интенсивность волновой пакет энергетические спектры электронов relativistic intensity wave packet electron energy spectra

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