Block paralleled BPM simulation of an optical waveguide with cross-sectional random refractive index distribution

Abstract

Image transport mediated by transverse Anderson localization requires an optical waveguide to have high contrasted indices and subwavelength feature size in random distribution. Super-fine mesh therefore needs to be adopted in numerical solution techniques. Existing numerical simulation approaches such as the conventional beam propagation method (BPM), however, shows low efficiency and is often unstable with fine mesh and high contrasted random index distribution. In this work, we propose a block algorithm based on a 3D finite-difference full-vector BPM, which is appealing as a reliable tool in numerical simulation of optical waveguides with random refractive index distribution.