Theory of the circular harmonics expansion method for multiple-optical-fiber system

Author

Chang, Chih-Sheng ; Chang, Hung-Chun

Author_Institution

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

Volume

12

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

415

Lastpage

417

Abstract

The circular harmonics expansion method that has been applied to solve the modal characteristics of multiple-core fiber structure is given a formal derivation. The validity of the field expansion expression in the method is rigorously proved by expanding the Green´s function for the scalar wave equation in a surface integral equation into circular harmonics. It is found that for coupled round cores only the modified Bessel functions of the second kind are needed in the expansion, and that the modified Bessel functions of the first kind do not appear in the expansion

Keywords

Bessel functions; Green´s function methods; harmonic analysis; optical fibre theory; optical fibres; Green´s function; circular harmonics expansion method; coupled round cores; field expansion expression; first kind; formal derivation; modal characteristics; modified Bessel functions; multiple-core fiber structure; multiple-optical-fiber system; scalar wave equation; second kind; surface integral equation; Dielectrics; Green´s function methods; Integral equations; Magnetic cores; Optical fiber theory; Optical surface waves; Optical waveguides; Partial differential equations; Rectangular waveguides; Surface waves;

fLanguage

English

Journal_Title

Lightwave Technology, Journal of

Publisher

ieee

ISSN

0733-8724

Type

jour

DOI

10.1109/50.285344

Filename

285344