Full-vectorial mode analysis of rib waveguides by iterative Lanczos reduction

Author

Liu, Pao-Lo ; Li, B.J.

Author_Institution

Dept. of Electr. & Comput. Eng., State Univ. of New York, Buffalo, NY, USA

Volume

29

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

2859

Lastpage

2863

Abstract

A highly efficient computer simulation code is developed to perform full-vectorial mode analysis of rib or channel waveguides. On a workstation, the mode profile and index can be calculated in 410 s if a 192×192 grid is used. The code is based on the iterative Lanczos reduction technique. Although the matrix representation of the transverse Helmholtz operator is slightly asymmetric in the vectorial mode analysis, the Lanczos reduction procedure can still converge to the eigenmode. Results for several rib waveguides are presented. They are compared to the results of the vectorial finite-element method and semivectorial analysis

Keywords

eigenvalues and eigenfunctions; integrated optics; iterative methods; optical waveguide theory; vectors; Lanczos reduction; channel waveguides; eigenmode; finite-element method; full-vectorial mode analysis; highly efficient computer simulation code; iterative Lanczos reduction; iterative Lanczos reduction technique; matrix representation; mode index; mode profile; rib waveguides; semivectorial analysis; slightly asymmetric; transverse Helmholtz operator; vectorial mode analysis,; workstation; Boundary conditions; Computer simulation; Equations; Finite difference methods; Finite element methods; Performance analysis; Photonic integrated circuits; Symmetric matrices; Transmission line matrix methods; Workstations;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.259398

Filename

259398