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Journal of Radio Electronics Online scientific journal · eISSN 1684-1719
2019, № 11 · NONLINEAR WAVE DYNAMICS IN RADIO ELECTRONICS

Phase portraits of spatial moments of a collimated wave beam in controlled and free modes

A.V. Blank1,2, N.A. Suhareva1,2

1 МГУ им. М.В. Ломоносова, Moscow, Russia
2 M.V.Lomonosov Moscow State University, Leninskie Gory, Russia
Full text (PDF) DOI: 10.30898/1684-1719.2019.11.9 UDC 534.1 EDN IUTQKF

Abstract

The results of an experimental study of the structure of phase trajectories of the energy center of a collimated wave beam are presented. A significant difference was found between phase portraits and values of the dimension of the embedded space for the vertical and horizontal components of the first spatial moment. A qualitative difference between phase portraits realized in laminar flows and coherent turbulence is considered. A preliminary estimation of the spectra of the Poincaré return times is performed. The reconstruction and analysis of phase portraits for stationary modes and phase trajectories for non-stationary can be the basis for the method of visual control of the dynamic modes of spatio-temporal beam aberrations and the classification of states of non-stationary and nonequilibrium atmospheres.

  • коллимированный пучок
  • турбулентная атмосфера
  • фазовый портрет
  • карты хаоса
  • время возврата Пуанкаре
  • коррекция наклона
  • collimated beam
  • turbulent atmosphere
  • phase portrait
  • chaos maps
  • Poincare return time
  • Tilt correction
Аннотация (на русском)

Фазовые портреты пространственных моментов коллимированного волнового пучка в управляемом и свободном режимах

Представлены результаты экспериментального исследования структуры фазовых траекторий энергетического центра коллимированного волнового пучка. Установлено существенное различие фазовых портретов и значений размерности пространства вложения для вертикальных и горизонтальных компонент первого пространственного момента. Рассмотрено качественное отличие фазовых портретов, реализуемых при ламинарных течениях, когерентной турбулентности. Выполнена предварительная оценка спектров времен возврата Пуанкаре. Реконструкция и анализ фазовых портретов для стационарных режимов и фазовых траекторий для нестационарных могут быть положены в основу метода визуального контроля динамических режимов пространственно-временных аберраций пучка и классификации состояний нестационарной и неравновесной атмосферы.

For citation

Blank A.V., Suhareva N.A. Phase portraits of spatial moments of a collimated wave beam in controlled and free modes // Journal of Radio Electronics. – 2019. – No. 11. https://doi.org/10.30898/1684-1719.2019.11.9

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