| 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: 24/11/2024)
1 (OpenCitations - last update: 3/5/2024)
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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. Related Research Topics
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