Finite speed of propagations of the electromagnetic field in nonlinear isotropic dispersive mediums

TL;DR

This paper investigates how electromagnetic waves propagate at finite speeds in nonlinear isotropic dispersive media, showing that propagation speed depends on initial energy and medium properties, with modifications to Maxwell's equations.

Contribution

It introduces modified Maxwell's equations for nonlinear dispersive media and demonstrates finite propagation speed depending on initial energy and medium parameters.

Findings

Electromagnetic waves have finite propagation speed in the modeled media.

Propagation speed depends on initial electromagnetic energy.

Medium properties influence wave propagation characteristics.

Abstract

We propose some modification of Maxwell's equations describing mediums which electric and magnetic properties are changed essentially after interaction with outer electromagnetic field. We show for such mediums that electromagnetic waves have finite speed of propagations property for some time depending on initial energy of electromagnetic field and nonlinear parameters of the problem which are responsible for properties of medium.