Dielectric equilateral triangle microresonators: integral equations and semi-classical physics approaches

Ilya O. Sukharevsky; Mélanie Lebental; Barbara Dietz; Clément Lafargue; Stefan Bittner

doi:10.1117/12.2286103

16 February 2018 Dielectric equilateral triangle microresonators: integral equations and semi-classical physics approaches

Ilya O. Sukharevsky, Mélanie Lebental, Barbara Dietz, Clément Lafargue, Stefan Bittner

Author Affiliations +

Proceedings Volume 10518, Laser Resonators, Microresonators, and Beam Control XX; 105181U (2018) https://doi.org/10.1117/12.2286103
Event: SPIE LASE, 2018, San Francisco, California, United States

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.

Citation Download Citation

Ilya O. Sukharevsky, Mélanie Lebental, Barbara Dietz, Clément Lafargue, and 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); https://doi.org/10.1117/12.2286103

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