最近邻和次最近邻耦合不同线性混频类型的锯齿形波导阵列中的离散孤子
Discrete solitons in zigzag waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings
摘要：
本文研究了锯齿形离散波导阵列中的离散孤子，在最近邻耦合和次最近邻耦合之间存在不同类型的线性混频。波导阵列由以Z字形布置的两层一维（1D）波导阵列构成。如果我们交替标记两层之间的波导的数量，则跨层耦合（其将一层中的一个波导与另一层中的两个相邻波导耦合）构成最近邻耦合，而将该波导与同一层中的两个最近邻波导耦合的耦合，即，自层耦合，有助于次近邻耦合。当这些耦合具有不同类型的线性混频时，发现了两类离散孤子。随着总功率的增加，在一种情况下，当最近邻耦合和次最近邻耦合分别具有正线性混频和负线性混频时，离散孤子发生第二类相变.本文系统地讨论了这两类孤子的迁移率和碰撞，揭示了孤子的宽度对它们的相互作用起着重要的作用
英文摘要：
We study discrete solitons in zigzag discrete waveguide arrays with different types of linear mixing between nearest-neighbor and next-nearest-neighbor couplings. The waveguide array is constructed from two layers of one-dimensional (1D) waveguide arrays arranged in zigzag form. If we alternately label the number of waveguides between the two layers, the cross-layer couplings (which couple one waveguide in one layer with two adjacent waveguides in the other layer) construct the nearestneighbor couplings, while the couplings that couple this waveguide with the two nearest-neighbor waveguides in the same layer, i.e., self-layer couplings, contribute the next-nearest-neighbor couplings. Two families of discrete solitons are found when these couplings feature different types of linear mixing. As the total power is increased, a phase transition of the second kind occurs for discrete solitons in one type of setting, which is formed when the nearest-neighbor coupling and next-nearest-neighbor coupling feature positive and negative linear mixing, respectively. The mobilities and collisions of these two families of solitons are discussed systematically throughout the paper, revealing that the width of the soliton plays an important role in its
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