Resonant-state expansion applied to planar open optical systems

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 di...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2012-02, Vol.85 (2), Article 023835
Main Authors: Doost, M. B., Langbein, W., Muljarov, E. A.
Format: Article
Language:English
Subjects:
Bragg reflectors
Dielectrics
Electrodynamics
Electromagnetic fields
Extrapolation
Mathematical analysis
Microcavities
Spectra
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Summary: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.85.023835