Three-Dimensional Multiple Scattering Technique for the Analysis of Photonic-Crystal Slabs

A numerical technique allowing theoretical analysis of propagation in three-dimensional (3-D) photonic-crystal (PC) slabs is presented. The method is an extension to the 3-D case of the two-dimensional multiple-scattering technique that was originally developed by Tayeb and Maystre. As an application, the method is used to numerically estimate the out-of-plane scattering losses in a straight PC waveguide of finite height.