Localized Optical Vortex Solitons in Pair Plasmas

TL;DR

This paper investigates the existence and properties of ring-profiled optical vortex solitons in relativistic pair plasmas with temperature asymmetry, combining theoretical analysis and numerical methods.

Contribution

It provides a new existence theory and numerical analysis for vortex solitons governed by a nonlinear Schrödinger equation with focusing-defocusing nonlinearity.

Findings

Necessary conditions for soliton existence

Estimates of solution parameters

Numerical profiles of vortex solitons

Abstract

The dynamics of short intense electromagnetic pulses propagating in a relativistic pair plasma with small temperature asymmetry is of current interest. Such pulses were shown to be governed by a nonlinear Schrodinger equation with a new type of focusing-defocusing nonlinearity. We provide an existence theory and numerical analysis for a special class of solutions, known as "ring-profiled" optical vortex solitons. Our methods include both a direct and constrained minimization. We give a necessary condition for the existence of nontrivial solutions and a series of interesting estimates in terms of the relevant parameters describing the electromagnetic pulse. Additionally, we use the constrained minimization approach and a finite element formalism to numerically study the behavior of the profiles of soliton solutions.