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Formation of an Oscillating Soliton near a Photonic Crystal Surface

机译:在光子晶体表面附近形成振荡孤子

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By means of computer simulation, we demonstrate the possibility of formation of a new type of surface solitons in nonlinear layered structures. The initial soliton is located inside a photonic crystal and occupies several of its layers. Its profile can be found from the solution to the eigenvalue problem for a nonlinear Schrodinger equation with periodic linear and nonlinear coefficients. Surface solitons are formed as a result of perturbation of the wave vector, which leads to soliton motion across photonic crystal layers. After several reflections from the side boundaries of the crystal, under certain conditions, the soliton becomes attached to the side boundary. A characteristic feature of the discussed soliton is the fact that its penetration depth into the photonic crystal medium is equal to the thickness of several crystal layers.
机译:通过计算机仿真,我们证明了在非线性分层结构中形成新型表面孤子的可能性。初始孤子位于光子晶体内部,并占据其几层。它的轮廓可以从具有周期线性和非线性系数的非线性Schrodinger方程的特征值问题的解中找到。表面孤子是波矢量扰动的结果,它导致孤子在光子晶体层上运动。在一定条件下,经过晶体侧面边界的几次反射后,孤子附着在侧面边界上。所讨论的孤子的一个特征是,其进入光子晶体介质的深度等于几个晶体层的厚度。

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