Opatrný T, Malomed B A, Kurizki G
Department of Chemical Physics, Weizmann Institute of Science, 76100 Rehovot, Israel.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Nov;60(5 Pt B):6137-49. doi: 10.1103/physreve.60.6137.
We consider an optical medium consisting of a periodic refractive-index grating and a periodic set of thin layers of two-level systems resonantly interacting with the electromagnetic field. Recently, it has been shown that such a system gives rise to a vast variety of stable bright solitons. In this work, we demonstrate that the system has another very unusual property: stable bright solitons can coexist with stable continuous-wave (cw) states and stable dark solitons (DS's). Depending on the parameters' values, a DS frequency band coexists (without overlap) with one or two bright-soliton bands. Quiescent (standing) DS's are found in an analytical form, and moving ones are obtained numerically. Simulations show that a considerable part of the DS solutions are completely stable against arbitrary small perturbations. The fact that this system supports both stable bright and dark solitons for the same parameters values may find interesting applications in photonics.
我们考虑一种光学介质，它由一个周期性折射率光栅和一组与电磁场发生共振相互作用的两能级系统的周期性薄层组成。最近，已经表明这样的系统会产生各种各样的稳定亮孤子。在这项工作中，我们证明该系统还有另一个非常不寻常的特性：稳定亮孤子可以与稳定的连续波（cw）态和稳定暗孤子（DS）共存。根据参数值，一个DS频带与一个或两个亮孤子带共存（不重叠）。静止（驻立）DS以解析形式找到，运动的DS通过数值方法得到。模拟表明，相当一部分DS解对于任意小的扰动是完全稳定的。该系统在相同参数值下同时支持稳定亮孤子和暗孤子这一事实可能在光子学中找到有趣的应用。
