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+ | ====== Chapter: Semiclassical quantization ====== | ||
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+ | (ChaosBook.org blog, chapter [[http://chaosbook.org/paper.shtml#tracesemicl|Semiclassical quantization]]) --- //[[predrag.cvitanovic@physics.gatech.edu|Predrag Cvitanovic]] 2011-02-06// | ||
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+ | ===== Remarks ===== | ||
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+ | **2011-02-06 PC** [[http://arxiv.org/abs/1102.0895|Trace formula for a dielectric microdisk with a point scatterer]] | ||
+ | by R.F.M. Hales, Martin Sieber and Holger Waalkens looks interesting. They say | ||
+ | \\ | ||
+ | "Two-dimensional dielectric microcavities are of widespread use in microoptics | ||
+ | applications. Recently, a trace formula has been established for dielectric | ||
+ | cavities which relates their resonance spectrum to the periodic rays inside the | ||
+ | cavity. In the present paper we extend this trace formula to a dielectric disk | ||
+ | with a small scatterer. This system has been introduced for microlaser | ||
+ | applications, because it has long-lived resonances with strongly directional | ||
+ | far field. We show that its resonance spectrum contains signatures not only of | ||
+ | periodic rays, but also of diffractive rays that occur in Keller's geometrical | ||
+ | theory of diffraction. We compare our results with those for a closed cavity | ||
+ | with Dirichlet boundary conditions." | ||
+ | |||
+ | |||
+ | ~~DISCUSSION~~ | ||
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