Improved full-vectorial finite-difference mode solver for optical waveguides with step-index profiles

Author

Chiang, Yen-Chung ; Chiou, Yih-Peng ; Chang, Hung-Chun

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

20

Issue

8

fYear

2002

fDate

8/1/2002 12:00:00 AM

Firstpage

1609

Lastpage

1618

Abstract

A general relation considering an interface condition between a sampled point and its nearby points in the finite-difference analysis of optical waveguides, is derived. Our formulation is a full-vectorial one, and the interface can be oblique to the global coordinate axes or even can have curvature. Using the derived formulation, optical waveguide structures with arbitrary step-index profiles can be dealt with. The validity of the proposed method is examined by comparing the numerical calculation with the analytical solution of a step-index optical fiber. The method is also applied to the analysis of fused fiber-optic couplers and compared with prior analysis using the surface integral equation method.

Keywords

finite difference methods; optical fibre couplers; optical fibre theory; optical waveguide theory; refractive index; vectors; analytical solution; curved interface; full-vectorial finite-difference mode solver; fused fiber-optic couplers; interface condition; linear oblique interface; numerical calculation; optical waveguide structures; sampled point; step-index optical fiber; step-index optical waveguides; step-index profiles; Design automation; Differential equations; Electromagnetic waveguides; Finite difference methods; Optical fiber couplers; Optical fiber devices; Optical refraction; Optical variables control; Optical waveguides; Rectangular waveguides;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/JLT.2002.800292

Filename

1058177