Resonant-state expansion applied to planar 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 2012. Resonant-state expansion applied to planar open optical systems. Physical review A 85 (2) , 023835. 10.1103/PhysRevA.85.023835

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Abstract

The resonant-state expansion (RSE), a rigorous perturbation theory of the Brillouin-Wigner type recently developed in electrodynamics[ E. A. Muljarov, W. Langbein and R. Zimmermann Europhys. Lett. 92 50010 (2010)], is applied to planar, effectively one-dimensional optical systems, such as layered dielectric slabs and Bragg reflector microcavities. It is demonstrated that the RSE converges with a power law in the basis size. Algorithms for error estimation and their reduction by extrapolation are presented and evaluated. Complex eigenfrequencies, electromagnetic fields, and the Green's function of a selection of optical systems are calculated, as well as the observable transmission spectra. In particular, we find that for a Bragg-mirror microcavity, which has sharp resonances in the spectrum, the transmission calculated using the RSE reproduces the result of the transfer- or scattering-matrix method.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Physics and Astronomy
Subjects:	Q Science > QC Physics
Publisher:	American Physical Society
ISSN:	1050-2947
Last Modified:	20 Oct 2022 08:15
URI:	https://orca.cardiff.ac.uk/id/eprint/27753

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