Analysis of arbitrary profiles by implementation of integral equation eigenvalue analysis

Author

Sader, John Elie

Author_Institution

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

Volume

26

Issue

11

fYear

1990

fDate

11/1/1990 12:00:00 AM

Firstpage

2013

Lastpage

2024

Abstract

A semianalytical method of analysis for arbitrary circular and noncircular profiles as applicable to the scalar wave equation is presented. It has its fundamental basis in perturbation theory and incorporates Green´s function and integral equation eigenvalue techniques. It requires formal solution only within the region of perturbation, resulting in the number of calculations being directly related to the range of perturbation and also uses no approximations such as those found in conventional numerical techniques, thus culminating in a powerful method of analysis possessing extremely high accuracy (<10^-5%). Furthermore, methods for the analysis of two-dimensional integral equations are developed

Keywords

Green´s function methods; eigenvalues and eigenfunctions; integral equations; numerical methods; perturbation theory; wave equations; Green´s function; arbitrary circular profiles; arbitrary profiles; calculations; integral equation eigenvalue analysis; integral equation eigenvalue techniques; noncircular profiles; numerical techniques; perturbation theory; scalar wave equation; semianalytical method; two-dimensional integral equations; Computer science; Eigenvalues and eigenfunctions; 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

10.1109/3.62121

Filename

62121