Abstract

An alternative wide-angle beam propagation method (WA-BPM) using a reformulated Fourier-based complex Jacobi iterative (CJI) technique for modeling nonlinear Kerr-type optical devices is presented. Making use of basic concepts of relaxation iterative methods, the CJI approach is modified to be incorporated as longitudinal solving strategy in WA-BPMs with transverse discretization schemes based on Fourier decomposition. After explaining the fundamentals of the resultant CJI-WA-BPM in the domain of Fourier coefficients, examples are given to show the significant improvements that are obtained, in terms of convergence rate and runtime, with respect to previous finite difference approaches.

© 2011 Optical Society of America

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