An Efficient Numerical Method for Optical Waveguides With Holes

Optical waveguides with structural variations along the waveguide axes are useful in many applications. One way to realize such a variation is to insert a sequence of holes in the waveguide core. In this paper, an efficient numerical method is developed for 2-D slab waveguides with hole arrays in the core. The method divides the waveguide into a number of segments, then jumps over the holes using the Dirichlet-to-Neumann maps of the segments.