Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2011-02-19
Europhysics Letters (EPL) vol. 94, p. 44004 (2011)
Nonlinear Sciences
Pattern Formation and Solitons
5 pages, 2 figures
Scientific paper
10.1209/0295-5075/94/44004
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.
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