| Issue |
EPL
Volume 92, Number 5, December 2010
|
|
|---|---|---|
| Article Number | 50010 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/92/50010 | |
| Published online | 04 January 2011 | |
Brillouin-Wigner perturbation theory in open electromagnetic systems
1
School of Physics and Astronomy, Cardiff University - The Parade, CF24 3AA, Cardiff, UK, EU
2
Institut für Physik der Humboldt- Universität zu Berlin - Newtonstrasse 15, D-12489 Berlin, Germany, EU
a
egor.muljarov@astro.cf.ac.uk
Received:
20
August
2010
Accepted:
21
November
2010
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.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 42.25.-p – Wave optics / 03.65.Nk – Scattering theory
© EPLA, 2010
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