Modified finite-difference formula for the analysis of semivectorial modes in step-index optical waveguides

Author

Yamauchi, Junji ; Sekiguchi, Minoru ; Uchiyama, Osamu ; Shibayama, Jun ; Nakano, Hisamatsu

Author_Institution

Coll. of Eng., Hosei Univ., Tokyo, Japan

Volume

9

Issue

7

fYear

1997

fDate

7/1/1997 12:00:00 AM

Firstpage

961

Lastpage

963

Abstract

The modified finite-difference formula is presented for the second derivative of a semivectorial field in a step-index optical waveguide. The present formula achieves a truncation error of O(/spl Delta/x/sup 2/) provided the discontinuity coincides with a mesh point or lies midway between two mesh points. Furthermore, the formula allows a general position of the interface, when used with the beam-propagation method (BPM). To demonstrate the effectiveness of the formula, asymmetric step-index waveguides are analyzed using the imaginary-distance BPM.

Keywords

finite difference methods; optical waveguide theory; vectors; asymmetric step-index waveguides; beam-propagation method; discontinuity; imaginary-distance BPM; mesh point; modified finite-difference formula; semivectorial modes; step-index optical waveguides; truncation error; Equations; Finite difference methods; Finite wordlength effects; Image analysis; Optical propagation; Optical refraction; Optical waveguides; Propagation constant; Slabs; Waveguide discontinuities;

fLanguage

English

Journal_Title

Photonics Technology Letters, IEEE

Publisher

ieee

ISSN

1041-1135

Type

jour

DOI

10.1109/68.593366

Filename

593366