Complex Padé approximant operators for wide-angle beam propagation
نویسندگان
چکیده
منابع مشابه
Three-dimensional higher-order Padé approximant-based wide-angle beam propagation method using complex Jacobi iteration
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 Padé(1,1) approximant. Presented is 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 multiste...
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A new beam propagation method (BPM) is developed based on a direct approximation to the propagator by its [(p-1)/p] Padé approximant. The approximant is simple to construct and has the desired damping effect for the evanescent modes. The method is applied to a tapered waveguide for TM-polarized waves, based on the energy-conserving improvement of the one-way Helmholtz equation. Numerical result...
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A new complex Jacobi iterative technique adapted for the solution of three-dimensional (3D) wide-angle (WA) beam propagation is presented. The beam propagation equation for analysis of optical propagation in waveguide structures is based on a novel modified Padé(1,1) approximant operator, which gives evanescent waves the desired damping. The resulting approach allows more accurate approximation...
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Manuscript received December 22, 1998. Manuscript revised March 9, 1999. † The authors are with the Department of Electrical Engineering, Kanagawa University, Yokohama-shi, 221-8686 Japan. †† The authors are with the Department of Elctronics and Electrical Engineering, University of Nottingham, NG7-2RD U.K. a) E-mail: [email protected] SUMMARY In this paper, outlines of the derivation o...
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A fast and efficient three-dimensional generalized rectangular wide-angle beam propagation method (GR-WABPM) 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 ...
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ژورنال
عنوان ژورنال: Optics Communications
سال: 2009
ISSN: 0030-4018
DOI: 10.1016/j.optcom.2008.12.014