Collapse of ultra-short pulse of electromagnetic field within non-linear electrodynamics

TL;DR

This paper investigates the instability and collapse of ultra-short electromagnetic pulses in nonlinear electrodynamics using Maxwell's equations with specific Lagrangians, without slow-varying approximations.

Contribution

It provides a detailed analysis of pulse collapse in nonlinear electrodynamics based on logarithmic and exponential Lagrangians, extending previous approximations.

Findings

Pulse instability leads to collapse in nonlinear regimes

Collapse occurs without slow-varying amplitude assumptions

Analysis based on Maxwell's equations with specific nonlinear Lagrangians

Abstract

We analyze the development of pulse instability within non-linear electrodynamics based on the Maxwell's equations, without the approximation of slowly varying amplitudes and phases. The action is determined on the basis of the logarithmic and exponential Lagrangians, built on the invariants of the electromagnetic field. It is shown that the onset of the collapse of an ultra-short pulse of the electromagnetic field in the framework of nonlinear electrodynamics.