Thermal lensing-induced bifocusing of spatial solitons in Kerr-type optical media

TL;DR

This paper presents a theoretical model describing how thermal lensing causes bifocusing of spatial solitons in Kerr optical media, resulting in double-pulse formations influenced by heat distribution.

Contribution

It introduces a non-perturbative approach combining heat and wave equations to explain double-pulse soliton formation due to thermally-induced birefringence.

Findings

Derived a one-soliton solution representing double-pulse beams.

Showed soliton properties depend on heat distribution profile.

Provided a theoretical framework for thermal lensing effects in Kerr media.

Abstract

Thermo-optical effects cause a bifocusing of incoming beams in optical media, due to the birefringence created by a thermal lens that can resolve the incoming beams into two-component signals of different polarizations. We propose a non-perturbative theoretical description of the process of formation of double-pulse solitons in Kerr optical media with a thermally-induced birefringence, based on solving simultaneously the heat equation and the propagation equation for a beam in a one-dimensional medium with uniform heat flux load. By means of a non-isospectral Inverse Scattering Transform assuming an initial solution with a pulse shape, a one-soliton solution to the wave equation is obtained that represents a double-pulse beam which characteristic properties depend strongly on the profile of heat spatial distribution.