Study on Coupling in a Multi-waveguides Array
多波导阵列耦合研究

A method for solving coupling characteristics of a multi-waveguides array is proposed. The coupled- mode equations of a multi-waveguides array are transformed into a group of linearity equations by using Laplace transform and then solution of the linearity equations is obtained using the LU decomposition method. With incidence condition, solution of the coupled-mode equations can be obtained by inversion of the Laplace transform. Furthermore, coupling characteristics of a five-waveguides array are studied under two conditions that light beam incidence upon both the middle waveguide and five waveguides, respectively. Then variation characteristics of optical power in each waveguide are given. This method can be used to solve coupled-mode equations of a multi-waveguides array with considering coupling among any waveguides.