Accurate simulation of two-dimensional optical microcavities with uniquely solvable boundary integral equations and trigonometric Galerkin discretization

被引：112

作者：

Boriskina, SV ^{[1
]}

Sewell, P

Benson, TM

Nosich, AI

机构：

[1] Univ Nottingham, George Green Inst Electromagnet Res, Nottingham NG7 2RD, England

[2] Natl Acad Sci Ukraine, Inst Radiophys & Elect, UA-61085 Kharkov, Ukraine

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2004年 / 21卷 / 03期

关键词：

D O I：

10.1364/JOSAA.21.000393

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A fast and accurate method is developed to compute the natural frequencies and scattering characteristics of arbitrary-shape two-dimensional dielectric resonators. The problem is formulated in terms of a uniquely solvable set of second-kind boundary integral equations and discretized by the Galerkin method with angular exponents as global test and trial functions. The log-singular term is extracted from one of the kernels, and closed-form expressions are derived for the main parts of all the integral operators. The resulting discrete scheme has a very high convergence rate. The method is used in the simulation of several optical microcavities for modern dense wavelength-division-multiplexed systems. (C) 2004 Optical Society of America.

引用

页码：393 / 402

页数：10

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