Light Beams Distortion in Nonlinear Electrodynamics

TL;DR

This paper derives the characteristic equation for nonlinear Born-Infeld electrodynamics, showing light beam distortion caused by electromagnetic fields resembles gravitational effects, with implications for understanding nonlinear optical phenomena.

Contribution

It introduces an effective metric framework for nonlinear electrodynamics and analyzes light beam distortion due to distant solitons, revealing gravitational-like effects.

Findings

Characteristic equation for Born-Infeld electrodynamics derived

Light beams are distorted by distant solitons in a manner similar to gravity

Effective metric includes electromagnetic energy-momentum tensor components

Abstract

We obtain the characteristic equation for the nonlinear Born-Infeld electrodynamics. This equation has the form of the characteristic equation for the linear electrodynamics in some effective Riemann space. The effective metric include the energy-momentum tensor components of electromagnetic field. We study a distortion of light beams by the action of some distant solitons. This distortion corresponds to attraction with the solitons and looks like the gravitational distortion.