Cylindrical electromagnetic waves in a nonlinear nondispersive medium: Exact solutions of the Maxwell equations

被引：10

作者：

Kudrin, A. V. ^{[1
]}

Petrov, E. Yu. ^{[1
]}

机构：

[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod 603950, Russia

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2010年 / 110卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

Shock Wave; Shock Front; Field Component; Electric Displacement; Nonlinear Medium;

D O I：

10.1134/S1063776110030167

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The excitation and propagation of cylindrical electromagnetic waves in a nonlinear nondispersive medium are analyzed. It is assumed that the medium lacks a center of symmetry and that the dependence of the electric displacement on the electric field can be approximated by an exponential function. For this case, a method for integrating the system of the Maxwell equations is proposed. Exact solutions to a set of nonlinear electromagnetic field equations are obtained by this method. It is shown that nonlinear effects described by these solutions can become apparent under experimental conditions.

引用

页码：537 / 548

页数：12