Journal of Radio Electronics. eISSN 1684-1719. 2023. ¹10
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DOI: https://doi.org/10.30898/1684-1719.2023.10.2  

 

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. Glazunov 1,2, A.M. Saletsky 1, V.A. Vdovin 2

 

1 MSU M.V. Lomonosov, Faculty of Physics

119991, Russia, Moscow, Leninskiye Gory, Kolmogorova str., 1, b. 2

2 Kotelnikov IRE RAS, 125009, Russia, Moscow, Mokhovaya str., 11, b. 7

 

The paper was received September 22, 2023.

 

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.

Key words: shock electromagnetic wave, temperature coefficient of permittivity, nanosecond video pulse, method of characteristics.

Financing: government assignment.

Corresponding author: Vdovin Vladimir Alexandrovich, vdv@cplire.ru

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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. – ¹. 10. https://doi.org/10.30898/1684-1719.2023.10.2 (In Russian)