Resonant state expansion applied to two-dimensional open optical systems

M. B. Doost, W. Langbein, and E. A. Muljarov
Phys. Rev. A 87, 043827 – Published 19 April 2013

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 an 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.

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  • Received 4 February 2013

DOI:https://doi.org/10.1103/PhysRevA.87.043827

©2013 American Physical Society

Authors & Affiliations

M. B. Doost, W. Langbein, and E. A. Muljarov*

  • School of Physics and Astronomy, Cardiff University, Cardiff CF24 3AA, United Kingdom

  • *On leave from General Physics Institute RAS, Moscow, Russia; egor.muljarov@astro.cf.ac.uk

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Vol. 87, Iss. 4 — April 2013

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