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Authors: K. Quang Le, P. Bienstman
Title: Three-dimensional higher-order Padé approximant-based wide-angle beam propagation method using complex Jacobi iteration
Format: International Journal
Publication date: 2/2010
Journal/Conference/Book: Electronics Letters
Volume(Issue): 46(3) p.231-233
DOI: 10.1049/el.2010.3204
Citations: 1 (Dimensions.ai - last update: 18/4/2021)
1 (OpenCitations - last update: 12/4/2021)
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Abstract

Wide-angle (WA) scalar beam propagation methods (BPMs) for effective modeling of optical propagation in three-dimensional (3D) waveguides are usually limited to the low-order-accurate Padé(1,1) approximant. In this letter, we present a 3D wide-angle scalar BPM based on higher-order Padé approximant operators which is factored into a series of simpler first-order Padé(1,1) approximants. This results in a multistep method where each step can be cast in terms of a 2D Helmholtz equation with source term, which can be treated accurately and effectively by the new complex Jacobi iterative technique.

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