Accurate simulation of two-dimensional optical microcavities with uniquely solvable boundary integral equations and trigonometric Galerkin discretization.
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.
Boriskina
Svetlana V
SV
George Green Institute for Electromagnetics Research, University of Nottingham, University Park, Nottingham NG7 2RD, UK. eezsb@gwmail.nottingham.ac.uk
Sewell
Phillip
P
Benson
Trevor M
TM
Nosich
Alexander I
AI