A new iterative bidirectional beam propagation method

被引：35

作者：

Lu, YY ^{[1
]}

Wei, SH

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing, Peoples R China

来源：

IEEE PHOTONICS TECHNOLOGY LETTERS | 2002年 / 14卷 / 11期

关键词：

approximation methods; numerical analysis; optical propagation; optical waveguides; rational approximation; scattering;

D O I：

10.1109/LPT.2002.803904

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A new bidirectional beam propagation method is developed for numerical simulation of wave-guiding structures with multiple longitudinal reflecting interfaces. It is an iterative method that works on the wave field components directly. Operator rational approximations developed in the one-way beam propagation method are used together with a modern Krylov subspace iterative method. Compared with earlier bidirectional beam propagation methods based on the transfer matrix formulation, the new method is numerically stable and models evanescent modes better.

引用

页码：1533 / 1535

页数：3

共 11 条

[1] Bragg waveguide grating as a 1d photonic band gap structure: COST 268 modelling task [J].

J. Čtyroký ;

S. Helfert ;

R. Pregla ;

P. Bienstman ;

R. Baets ;

R. De Ridder ;

R. Stoffer ;

G. Klaasse ;

J. PetráČek ;

P. Lalanne ;

J. P. Hugonin ;

R. M. De LaRue .

Optical and Quantum Electronics, 2002, 34 (5-6) :455-470

[2] Stable and noniterative bidirectional beam propagation method [J].

El-Refaei, H ;

Yevick, D ;

Betty, I .

IEEE PHOTONICS TECHNOLOGY LETTERS, 2000, 12 (04) :389-391

[3]

Ho PL, 2001, IEEE PHOTONIC TECH L, V13, P1316, DOI 10.1109/68.969893

[4] A complex coefficient rational approximation of √1+x [J].

Lu, YY .

APPLIED NUMERICAL MATHEMATICS, 1998, 27 (02) :141-154

[5] Beam propagation method using a [(p-1)/p] Pade approximant of the propagator [J].

Lu, YY ;

Ho, PL .

OPTICS LETTERS, 2002, 27 (09) :683-685

[6] Rational square-root approximations for parabolic equation algorithms [J].

Milinazzo, FA ;

Zala, CA ;

Brooke, GH .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1997, 101 (02) :760-766

[7] A bidirectional beam propagation method for multiple dielectric interfaces [J].

Rao, HL ;

Scarmozzino, R ;

Osgood, RM .

IEEE PHOTONICS TECHNOLOGY LETTERS, 1999, 11 (07) :830-832

[8] BI-CGSTAB - A FAST AND SMOOTHLY CONVERGING VARIANT OF BI-CG FOR THE SOLUTION OF NONSYMMETRIC LINEAR-SYSTEMS [J].

VANDERVORST, HA .

SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1992, 13 (02) :631-644

[9] Highly efficient absorbing boundary conditions for the beam propagation method [J].

Vassallo, C ;

Collino, F .

JOURNAL OF LIGHTWAVE TECHNOLOGY, 1996, 14 (06) :1570-1577

[10] Application of Bi-CGSTAB to waveguide discontinuity problems [J].

Wei, SH ;

Lu, YY .

IEEE PHOTONICS TECHNOLOGY LETTERS, 2002, 14 (05) :645-647

← 1 2 →