A bidirectional beam propagation method for periodic waveguides

Pui Lin Ho; Ya Yan Lu

doi:10.1109/68.986801

A bidirectional beam propagation method for periodic waveguides

Pui Lin Ho
, Ya Yan Lu

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

29 Citations (Scopus)

Abstract

For wave-guiding structures with multiple longitudinal reflecting interfaces, a bidirectional beam propagation method has been developed using a scattering operator formulation and rational approximations to the square root and the propagation operators. For periodic waveguides, it is possible to significantly speed up the method when scattering operators for a waveguide with s₁ + s₂ periods are obtained directly from those operators associated with waveguides having s₁ and s₂ periods. The required computing time is then proportional to the logarithm of the total number of periods.

Original language	English
Pages (from-to)	325-327
Journal	IEEE Photonics Technology Letters
Volume	14
Issue number	3
DOIs	https://doi.org/10.1109/68.986801
Publication status	Published - Mar 2002

Research Keywords

Bidirectional beam propagation
Distributed-feedback structure
Multiple reflections
Periodic waveguide

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abstract = "For wave-guiding structures with multiple longitudinal reflecting interfaces, a bidirectional beam propagation method has been developed using a scattering operator formulation and rational approximations to the square root and the propagation operators. For periodic waveguides, it is possible to significantly speed up the method when scattering operators for a waveguide with s1 + s2 periods are obtained directly from those operators associated with waveguides having s1 and s2 periods. The required computing time is then proportional to the logarithm of the total number of periods.",

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AB - For wave-guiding structures with multiple longitudinal reflecting interfaces, a bidirectional beam propagation method has been developed using a scattering operator formulation and rational approximations to the square root and the propagation operators. For periodic waveguides, it is possible to significantly speed up the method when scattering operators for a waveguide with s1 + s2 periods are obtained directly from those operators associated with waveguides having s1 and s2 periods. The required computing time is then proportional to the logarithm of the total number of periods.

KW - Bidirectional beam propagation

KW - Distributed-feedback structure

KW - Multiple reflections

KW - Periodic waveguide

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DO - 10.1109/68.986801

M3 - RGC 21 - Publication in refereed journal

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SP - 325

EP - 327

JO - IEEE Photonics Technology Letters

JF - IEEE Photonics Technology Letters

IS - 3

ER -

A bidirectional beam propagation method for periodic waveguides

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