附着在无隙层上的隙孤子
Gap solitons attached to a gapless layer
摘要：
我们考虑了在均匀克尔非线性介质中，两个对称或非对称的半无限布拉格光栅（BG）之间的无光栅层上的线性和非线性模，它们之间可能存在相移。不对称性由两个BG中的带隙宽度之间的差定义。在线性系统中，我们发现了精确的缺陷模，在非线性模型中，我们也发现了钉扎在中心层上的复合间隙孤子。在非对称系统中，由于对无隙层的吸引力和反射台阶的排斥力之间的竞争，得到了DM和间隙孤子的存在边界。通过直接模拟确定了非对称系统中孤子的稳定边界。研究了运动BG孤子与无带隙层的碰撞。
英文摘要：
We consider linear and nonlinear modes pinned to a grating-free (gapless) layer placed between two symmetric or asymmetric semi-infinite Bragg gratings (BGs), with a possible phase shift between them, in a medium with the uniform Kerr nonlinearity. The asymmetry is defined by a difference between bandgap widths in the two BGs. In the linear system, exact defect modes (DMs) are found. Composite gap solitons pinned to the central layer are found too, in analytical and numerical forms, in the nonlinear model. In the asymmetric system, existence boundaries for the DMs and gap solitons, due to the competition between attraction to the gapless layer and repulsion from the reflectivity step, are obtained analytically. Stability boundaries for solitons in the asymmetric system are identified by means of direct simulations. Collisions of moving BG solitons with the gapless layer are studied too.
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