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Journal of Radio Electronics Online scientific journal · eISSN 1684-1719
2023, № 10 · NONLINEAR WAVE DYNAMICS IN RADIO ELECTRONICS

Formation of a shock wave front during the propagation of nanosecond video pulses in weakly conductive media with a temperature dependence of the dielectric permittivity

P.S. Glazunov1,2, A.M. Saletsky1, V.A. Vdovin2

1 MSU M.V. Lomonosov, Moscow, Russia
2 Kotelnikov IRE RAS, Moscow, Russia
Full text DOI: 10.30898/1684-1719.2023.10.2 UDC 537.86 EDN CTTSRL

Abstract

A conservative model of weakly conductive material media with a temperature dependence of the permittivity is proposed. It is shown that the principles of thermodynamics are satisfied for this model. A system of partial differential equations is derived that describes the change in the profile of an electromagnetic video pulse. An approximation is considered in which this system can be solved using the method of characteristics. It is shown that two competing nonlinear effects arise during pulse propagation: an increase in the peak power of the pulse and the formation of a shock electromagnetic wave.

  • shock electromagnetic wave
  • Temperature coefficient of permittivity
  • nanosecond video pulse
  • method of characteristics
Аннотация (на русском)

Формирование фронта ударной волны при распространении наносекундных видеоимпульсов в слабопроводящих средах с температурной зависимостью диэлектрической проницаемости

Предлагается консервативная модель слабопроводящих материальных сред с температурной зависимостью диэлектрической проницаемости, для которой выполняются начала термодинамики. Выведена система уравнений в частных производных, описывающая изменение профиля электромагнитного видеоимпульса, с течением времени. Рассмотрено приближение, в котором данную систему возможно решить при помощи метода характеристик. Показано, что при распространении импульса возникают два конкурирующих нелинейных эффекта: рост пиковой мощности импульса и формирование ударной электромагнитной волны.

For citation

Glazunov P.S., Saletsky A.M., Vdovin V.A. Formation of a shock wave front during the propagation of nanosecond video pulses in weakly conductive media with a temperature dependence of the dielectric permittivity // Journal of Radio Electronics. – 2023. – No. 10. https://doi.org/10.30898/1684-1719.2023.10.2

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