Rutkowska Katarzyna A, Malomed Boris A, Morandotti Roberto
INRS-Energie et Matériaux, Univérsite du Québec, Varennes, Québec, J3X 1S2, Canada.
Opt Express. 2010 Apr 26;18(9):8879-95. doi: 10.1364/OE.18.008879.
Using a system of coupled nonlinear Schrödinger equations (CNLSEs), we show that nonlinear light propagation in self-focusing Kerr media can be controlled via a suitable combination of linear and circular birefringences. In particular, magneto-optical effects are taken as a specific physical example, which enables the introduction of both types of birefringences simultaneously via the joint action of the Cotton-Mouton and the Faraday effect. We demonstrate the efficient management of the collapse of (2 + 1)D beams in magneto-optic dielectric media, which may result in either the acceleration or the suppression of the collapse. However, our study also shows that a complete stabilization of the bimodal beams (i.e., the propagation of two-dimensional solitary waves) is not possible under the proposed conditions. The analysis is performed by directly numerically solving the CNLSEs, as well as by using the variational approximation, both showing consistent results. The investigated method allows high-power beam propagation in Kerr media while avoiding collapse, thus offering a viable alternative to the techniques applied in non-instantaneous and/or non-local nonlinear media.
通过使用耦合非线性薛定谔方程（CNLSEs）系统，我们表明，在自聚焦克尔介质中，非线性光传播可以通过线性双折射和圆双折射的适当组合来控制。特别地，磁光效应被视为一个具体的物理实例，它能够通过科顿 - 穆顿效应和法拉第效应的联合作用同时引入这两种双折射。我们展示了磁光介质中（2 + 1）维光束坍缩的有效控制，这可能导致坍缩的加速或抑制。然而，我们的研究还表明，在所提出的条件下，双模态光束（即二维孤立波的传播）不可能完全稳定。分析是通过直接数值求解CNLSEs以及使用变分近似来进行的，两者都显示出一致的结果。所研究的方法允许高功率光束在克尔介质中传播同时避免坍缩，从而为应用于非瞬时和/或非局部非线性介质的技术提供了一种可行的替代方案。
