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arXiv · 1205.4924

Brillouin-Wigner perturbation theory in open electromagnetic systems

E. A. Muljarov·W. Langbein·R. Zimmermann
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Abstract

A Brillouin-Wigner perturbation theory is developed for open electromagnetic systems which are characterised by discrete resonant states with complex eigenenergies. Since these states are exponentially growing at large distances, a modified normalisation is introduced that allows a simple spectral representation of the Green's function. The perturbed modes are found by solving a linear eigenvalue problem in matrix form. The method is illustrated on exactly solvable one- and three-dimensional examples being, respectively, a dielectric slab and a microsphere.

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E. A. Muljarov, W. Langbein, R. Zimmermann. 2012-05-22. Brillouin-Wigner perturbation theory in open electromagnetic systems. https://doi.org/10.1209/0295-5075%2F92%2F50010

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