Physics – Optics
Scientific paper
2011-11-08
Phys. Rev. E 85, 026203 (2012)
Physics
Optics
13 pages, 12 figures, 1 table
Scientific paper
10.1103/PhysRevE.85.026203
The length spectra of flat three-dimensional dielectric resonators of circular shape were determined from a microwave experiment. They were compared to a semiclassical trace formula obtained within a two-dimensional model based on the effective index of refraction approximation and a good agreement was found. It was necessary to take into account the dispersion of the effective index of refraction for the two-dimensional approximation. Furthermore, small deviations between the experimental length spectrum and the trace formula prediction were attributed to the systematic error of the effective index of refraction approximation. In summary, the methods developed in this article enable the application of the trace formula for two-dimensional dielectric resonators also to realistic, flat three-dimensional dielectric microcavities and -lasers, allowing for the interpretation of their spectra in terms of classical periodic orbits.
Bittner S.
Bogomolny Eugene
Dietz Barbara
Miski-Oglu M.
Richter Achim
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