Stability of solitons in PT-symmetric couplers
Optics
2015-05-30 v1 Pattern Formation and Solitons
Abstract
Families of analytical solutions are found for symmetric and antisymmetric solitons in the dual-core system with the Kerr nonlinearity and PT-balanced gain and loss. The crucial issue is stability of the solitons. A stability region is obtained in an analytical form, and verified by simulations, for the PT-symmetric solitons. For the antisymmetric ones, the stability border is found in a numerical form. Moving solitons of both types collide elastically. The two soliton species merge into one in the "supersymmetric" case, with equal coefficients of the gain, loss and inter-core coupling. These solitons feature a subexponential instability, which may be suppressed by periodic switching ("management").
Keywords
Cite
@article{arxiv.1109.5759,
title = {Stability of solitons in PT-symmetric couplers},
author = {Rodislav Driben and Boris A. Malomed},
journal= {arXiv preprint arXiv:1109.5759},
year = {2015}
}
Comments
Optics Letters 2011 (in press)