Semivectorial Helmholtz beam propagation by Lanczos reduction

Author

Liu, Pao-Lo ; Li, Bing-Jing

Author_Institution

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

Volume

29

Issue

8

fYear

1993

fDate

8/1/1993 12:00:00 AM

Firstpage

2385

Lastpage

2389

Abstract

By using the finite-difference method to perform Lanczos reduction, a semivectorial Helmholtz beam propagation algorithm is demonstrated. The applicability of this algorithm is no longer limited to paraxial beams and scalar fields. Mode indices of rib waveguides are calculated and compared to previously published data. Losses of Y -branch for two orthogonal polarizations are also presented. This algorithm is more efficient than the conventional beam propagation method in determining the mode index. To calculate the radiation loss however, it requires much more computational effort. More than 30 Krylov vectors are needed to avoid numerical dissipation

Keywords

finite difference methods; integrated optics; light polarisation; optical losses; optical waveguide theory; vectors; Krylov vectors; Lanczos reduction; Y-branch; computational effort; finite-difference method; mode indices; numerical dissipation; optical losses; orthogonal polarizations; paraxial beams; radiation loss; rib waveguides; scalar fields; semivectorial Helmholtz beam propagation algorithm; Boundary conditions; Equations; Finite difference methods; Iterative algorithms; Optical beams; Optical devices; Optical losses; Optical propagation; Optical waveguides; Polarization;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.245570

Filename

245570