Cylindrical electromagnetic waves in a nonlinear nondispersive medium: Exact solutions of the Maxwell equations |
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Authors: | A V Kudrin E Yu Petrov |
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Institution: | 1. Nizhni Novgorod State University, pr. Gagarina 23, Nizhni Novgorod, 603950, Russia
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Abstract: | 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. |
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