Transition between self-focusing and self-defocusing in nonlocally nonlinear media
Abstract
We reveal the relevance between the nonlocality and the focusing/defocusing states in nonlocally nonlinear media, and predict a novel phenomenon that the self-focusing/self-defocusing property of the optical beam in the nonlocally nonlinear medium with a sine-oscillation response function depends on its degree of nonlocality. The transition from the focusing nonlinearity to the defocusing nonlinearity of the nonlinear refractive index will happen when the degree of nonlocality of the system goes cross a critical value, and vise verse. Bright and dark soliton solutions are obtained, respectively, in the focusing state and in the defocusing state, and their stabilities are also discussed. It is mentioned that such a phenomenon might be experimentally realized in the nematic liquid crystal with negative dielectric anisotropy or in the quadratic nonlinear medium.
Keywords
Cite
@article{arxiv.1510.05759,
title = {Transition between self-focusing and self-defocusing in nonlocally nonlinear media},
author = {Guo Liang and Weiyi Hong and Yahong Hu and Jing Wang and Zhuo Wang and Yingbing Li and Qi Guo and Wei Hu and Senyue Lou and Demetrios N. Christodoulides},
journal= {arXiv preprint arXiv:1510.05759},
year = {2019}
}
Comments
6 pages, 4 figures