Resonant state expansion applied to two-dimensional open optical systems

Doost, Mark ORCID: https://orcid.org/0000-0003-4682-2889, Langbein, Wolfgang Werner ORCID: https://orcid.org/0000-0001-9786-1023 and Muljarov, Egor A. ORCID: https://orcid.org/0000-0002-2878-4148 2013. Resonant state expansion applied to two-dimensional open optical systems. Physical Review A 87 (4) , 043827. 10.1103/PhysRevA.87.043827

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Physics and Astronomy
Subjects:	Q Science > QB Astronomy
Publisher:	American Physical Society
ISSN:	1050-2947
Funders:	EPSRC
Last Modified:	25 Oct 2022 08:36
URI:	https://orca.cardiff.ac.uk/id/eprint/53656

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