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arXiv · 1110.5519

Resonant state expansion applied to planar open optical systems

M. B. Doost·W. Langbein·E. A. Muljarov
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Abstract

The resonant state expansion (RSE), a novel perturbation theory of Brillouin-Wigner type developed in electrodynamics [Muljarov, Langbein, and 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, electro-magnetic 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 resonant state expansion reproduces the result of the transfer/scattering matrix method.

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M. B. Doost, W. Langbein, E. A. Muljarov. 2011-10-25. Resonant state expansion applied to planar open optical systems. https://doi.org/10.1103/physreva.85.023835

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