Resonant state expansion applied to two-dimensional open optical systems
Optics
2015-05-05 v1
Abstract
The resonant state expansion (RSE), a rigorous perturbative method in electrodynamics, is applied to two-dimensional open optical systems. The analytically solvable homogeneous dielectric cylinder is used as unperturbed system, and its Green's function is shown to contain a cut in the complex frequency plane, which is included in the RSE basis. The complex eigenfrequencies of modes are calculated using the RSE for a selection of perturbations which mix unperturbed modes of different orbital momentum, such as half-cylinder, thin-film and thin-wire perturbation, demonstrating the accuracy and convergency of the method. The resonant states for the thin-wire perturbation are shown to reproduce an approximative analytical solution.
Cite
@article{arxiv.1302.0245,
title = {Resonant state expansion applied to two-dimensional open optical systems},
author = {M. B. Doost and W. Langbein and E. A. Muljarov},
journal= {arXiv preprint arXiv:1302.0245},
year = {2015}
}