Fast three-dimensional generalized rectangular wide-angle beam propagation method using complex Jacobi iteration

Abstract

A fast and efficient three-dimensional generalized rectangular wide-angle beam propagation method (GR-WA-BPM) based on a recently proposed modified Padé (1,1) approximant is presented. In our method, at each propagation step, the beam propagation equation is recast in terms of a Helmholtz equation with a source term, which is solved quickly and accurately by a recently introduced complex Jacobi iterative (CJI) method. The efficiency of the GR-WA-BPM for the analysis of tilted optical waveguides is demonstrated in comparison with the standard wide-angle beam propagation method based on Hadley's scheme. In addition, since the utility of the CJI method depends mostly on its execution speed in comparison with the traditional direct matrix inversion, several performance comparisons are also presented.

Simulation of spectral stabilization of high-power broad-area edge emitting semiconductor lasers

“…A generalized envelope function with two degrees of freedom is introduced in [26]. In our approach we allow the phase term to depend on both transverse directions.…”

“…There are several applications presented in literature [24][25][26][27] and [28] where the FD-BPM is successfully applied to compute light field propagations. The right hand side of Eq.…”