Standing wave solutions in Born-Infeld theory

Abstract

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.

References in corpus (9)

• Light propagation in non linear electrodynamics
• Nonperturbative calculation of Born-Infeld effects on the Schroedinger spectrum of the hydrogen atom
• Testing Born-Infeld electrodynamics in waveguides
• Testing non-linear vacuum electrodynamics with Michelson interferometry
• On the possibility of Vacuum-QED measurements with gravitational wave detectors
• Probing For New Physics and Detecting non linear vacuum QED effects using gravitational wave interferometer antennas
• A Lax Representation for the Born-Infeld Equation
• Approximated solutions to Born-Infeld dynamics
• Shock Wave Polarizations and Optical Metrics in the Born and the Born-Infeld Electrodynamics

Cited by in corpus (6)

• Dispersion Relations in Non-Linear Electrodynamics and the Kinematics of the Compton Effect in a Magnetic Background
• Observational appearance of Kaluza-Klein black holes
• On the radiation field of a linearly accelerated charged particle in Born-Infeld theory
• Waves in Bopp-Landé-Thomas-Podolsky generalized electrodynamics
• Compton scattering in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics
• Transverse electric waves in Bandos-Lechner-Sorokin-Townsend nonlinear electrodynamics