非线性超晶格的能带结构和多稳态现象

The Energy Band Structure and Multistability of Nonlinear Superlattice

研究非线性超晶格的能带结构随非线性系数的变化和多稳态现象。将非线性Kronig—Penney超晶格的定态非线性薛定额方程,化为一个二维实映射,进行数值分析得到非线性超晶格的能带结构与非线性系数及波强度有关,给出了不同非线性系数情况下的能带结构以及透射波强度对于入射波强度呈现的多稳态结构。

The energy band structure of nonlinear superlattice is analyzed and the transmission multistability is shown. The nonlinear Sehrodinger equation of the nonlinear Kronig-Penney superlattiee is transformed to a set of two-dimensional real map. Numerical solutions give the energy band structures which depend on the nonlinear coefficient and wave intensity. And the multistability of transmission with a certain incident wave is presented.