Self-Guiding of Electromagnetic Beams in Degenerate Relativistic Electron-Positron Plasma

TL;DR

This paper investigates the self-guided propagation of electromagnetic beams in degenerate relativistic electron-positron plasma, demonstrating the existence of stable localized solitary structures described by a nonlinear Schrödinger equation.

Contribution

It introduces a model for self-trapped electromagnetic beams in degenerate relativistic plasma and proves the existence of stable solitary wave solutions.

Findings

Stable solitary structures exist for all degeneracy levels.

The dynamics are governed by a generalized nonlinear Schrödinger equation.

Self-guided beams can propagate without dispersion or diffraction.

Abstract

The possibility of self-trapped propagation of electromagnetic beams in the fully degenerate relativistic electron-positron plasma has been studied applying Fluid-Maxwell model; it is shown that dynamics of such beams can be described by the generalized Nonlinear Schr\"odinger equation with specific type of saturating nonlinearity. Existence of radially symmetric localized solitary structures is demonstrated. It is found that stable solitary structures exist for the arbitrary level of degeneracy.