Integral equation analysis for higher order modes and cutoff frequencies of arbitrary profiles

Author

Sader, John Elie

Author_Institution

Sch. of Electr. Eng. & Comput. Sci., New South Wales Univ., Sydney, NSW, Australia

Volume

27

Issue

4

fYear

1991

fDate

4/1/1991 12:00:00 AM

Firstpage

976

Lastpage

984

Abstract

A semianalytical method of analysis for arbitrary weakly guiding circular and noncircular profiles, which has its fundamental basis in perturbation theory and incorporates Green´s function and integral equation techniques in a powerful method of analysis possessing extremely high accuracy, is extended to the analysis of higher order modes and cutoff frequencies of arbitrary weakly guiding circular and noncircular profiles. Its accuracy is demonstrated by its application to several weakly guiding profiles, for which the method is found to be extremely accurate (<10^-5%). Furthermore, additional simplifications to the semianalytical method of analysis are presented, which dramatically reduce the number of calculations required for solution

Keywords

Green´s function methods; integral equations; optical waveguide theory; Green´s function; accuracy; arbitrary weakly guiding circular profiles; cutoff frequencies; higher order modes; integral equation analysis; integral equation techniques; noncircular profiles; perturbation theory; semianalytical method; Computer science; Cutoff frequency; Finite element methods; Integral equations; Partial differential equations; Perturbation methods; Refractive index;

fLanguage

English

Journal_Title

Quantum Electronics, IEEE Journal of

Publisher

ieee

ISSN

0018-9197

Type

jour

DOI

10.1109/3.83332

Filename

83332