Horikis T P, Frantzeskakis D J, Antar N, Bakirtaş I, Smyth N F
Opt Lett. 2019 Aug 1;44(15):3701-3704. doi: 10.1364/OL.44.003701.
The self-similar propagation of optical beams in a broad class of nonlocal, nonlinear optical media is studied utilizing a generic system of coupled equations with linear gain. This system describes, for instance, beam propagation in nematic liquid crystals and optical thermal media. It is found, both numerically and analytically, that the nonlocal response has a focusing effect on the beam, concentrating its power around its center during propagation. In particular, the beam narrows in width and grows in amplitude faster than in local media, with the resulting beam shape being parabolic. Finally, a general initial localized beam evolves to a common shape.
利用具有线性增益的耦合方程通用系统，研究了光束在一大类非局部非线性光学介质中的自相似传播。例如，该系统描述了向列型液晶和光学热介质中的光束传播。通过数值和解析方法发现，非局部响应会对光束产生聚焦效应，在传播过程中将其功率集中在光束中心周围。特别是，光束宽度变窄，振幅增长速度比在局部介质中更快，最终形成抛物线形状。最后，一般的初始局域光束会演化为一种共同的形状。
