Dielectric equilateral triangle microresonators: integral equations and semiclassical physics approaches

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

doi:10.1117/1.OE.58.1.016115

29 January 2019 Dielectric equilateral triangle microresonators: integral equations and semiclassical physics approaches

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

Author Affiliations +

Optical Engineering, Vol. 58, Issue 1, 016115 (January 2019). https://doi.org/10.1117/1.OE.58.1.016115

Abstract

We investigate in detail the resonant properties of a two-dimensional 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, Mélanie Lebental, Barbara Dietz, Clément Lafargue, and Stefan Bittner "Dielectric equilateral triangle microresonators: integral equations and semiclassical physics approaches," Optical Engineering 58(1), 016115 (29 January 2019). https://doi.org/10.1117/1.OE.58.1.016115

Received: 24 September 2018; Accepted: 28 December 2018; Published: 29 January 2019

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