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Three-dimensional higher-order pade approximant-based wide-angle beam propagation method using complex jacobi iteration

Khai Le Quang (UGent) and Peter Bienstman (UGent)
(2010) ELECTRONICS LETTERS. 46(3). p.231-232
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Abstract
Wide-angle scalar beam propagation methods (BPMs) for effective modelling of optical propagation in three-dimensional (3D) waveguides are usually limited to the low-order-accurate Pade (1,1) approximant. Presented is a 3D wide-angle scalar BPM based on higher-order Pade approximant operators which is factored into a series of simpler first-order Pade (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.
Keywords
WAVE-GUIDE STRUCTURES

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Citation

Please use this url to cite or link to this publication:

Chicago
Le Quang, Khai, and Peter Bienstman. 2010. “Three-dimensional Higher-order Pade Approximant-based Wide-angle Beam Propagation Method Using Complex Jacobi Iteration.” Electronics Letters 46 (3): 231–232.
APA
Le Quang, K., & Bienstman, P. (2010). Three-dimensional higher-order pade approximant-based wide-angle beam propagation method using complex jacobi iteration. ELECTRONICS LETTERS, 46(3), 231–232.
Vancouver
1.
Le Quang K, Bienstman P. Three-dimensional higher-order pade approximant-based wide-angle beam propagation method using complex jacobi iteration. ELECTRONICS LETTERS. 2010;46(3):231–2.
MLA
Le Quang, Khai, and Peter Bienstman. “Three-dimensional Higher-order Pade Approximant-based Wide-angle Beam Propagation Method Using Complex Jacobi Iteration.” ELECTRONICS LETTERS 46.3 (2010): 231–232. Print.
@article{1143607,
  abstract     = {Wide-angle scalar beam propagation methods (BPMs) for effective modelling of optical propagation in three-dimensional (3D) waveguides are usually limited to the low-order-accurate Pade (1,1) approximant. Presented is a 3D wide-angle scalar BPM based on higher-order Pade approximant operators which is factored into a series of simpler first-order Pade (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.},
  author       = {Le Quang, Khai and Bienstman, Peter},
  issn         = {0013-5194},
  journal      = {ELECTRONICS LETTERS},
  keyword      = {WAVE-GUIDE STRUCTURES},
  language     = {eng},
  number       = {3},
  pages        = {231--232},
  title        = {Three-dimensional higher-order pade approximant-based wide-angle beam propagation method using complex jacobi iteration},
  url          = {http://dx.doi.org/10.1049/el.2010.3204},
  volume       = {46},
  year         = {2010},
}

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