Standing wave solutions in Born-Infeld theory

Manojlovic, Nenad; Perlick, Volker; Potting, Robertus

http://hdl.handle.net/10400.1/15678

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Autores

Manojlovic, Nenad

Perlick, Volker

Potting, Robertus

Resumo(s)

We study standing-wave solutions of Born-Infeld electrodynamics, with nonzero electromagnetic field in a region between two parallel conducting plates. We consider the simplest case which occurs when the vector potential describing the electromagnetic field has only one nonzero component depending on time and on the coordinate perpendicular to the plates. the problem then reduces to solving the scalar Born-Infeld equation, a nonlinear partial differential equation in 1+1 dimensions. We apply two alternative methods to obtain standing-wave solutions to the Born-Infeld equation: an iterative method, and a "minimal surface" method. We also study standing wave solutions in a uniform constant magnetic field background. the results obtained in this work provide a theoretical background for experimental tests of Born-Infeld theory. (C) 2020 Elsevier Inc. All rights reserved.

URI

http://hdl.handle.net/10400.1/15678

Editora

Elsevier

DOI

10.1016/j.aop.2020.168303

Coleções

FCT2-Artigos (em revistas ou actas indexadas)

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