16 February 2018 Dielectric equilateral triangle microresonators: integral equations and semi-classical physics approaches
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Abstract
We investigate in detail the resonant properties of a 2D dielectric cavity with an equilateral triangle shape, using a numerical integral equations approach and a semiclassical approach. The homogeneous Müller boundary equations are used to calculate the resonant modes of a dielectric triangle in a wide range of frequencies. It is shown that the modes of dielectric triangles localized on families of periodic orbits can be well described in terms of a semiclassical superscar model. Special attention is given to the families of resonances based on the inscribed triangle periodic orbit.
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Ilya O. Sukharevsky, Ilya O. Sukharevsky, Mélanie Lebental, Mélanie Lebental, Barbara Dietz, Barbara Dietz, Clément Lafargue, Clément Lafargue, Stefan Bittner, Stefan Bittner, } "Dielectric equilateral triangle microresonators: integral equations and semi-classical physics approaches", Proc. SPIE 10518, Laser Resonators, Microresonators, and Beam Control XX, 105181U (16 February 2018); doi: 10.1117/12.2286103; https://doi.org/10.1117/12.2286103
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