Circular dielectric cavity and its deformations

Abstract

The construction of perturbation series for slightly deformed dielectric circular cavity is discussed in details. The obtained formulae are checked on the example of cut disks. A good agreement is found with direct numerical simulations and far-field experiments.Comment: 17 pages, 12 figure

Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics

“…Asymptotic formulas for these losses are given in (Apalkov and Raikh, 2004;Dubertrand et al, 2008;McCall et al, 1992;Nöckel, 1997) for microdisks and in (Chiasera et al, 2010) for microspheres. In practice, however, also absorption and Rayleigh scattering in the bulk material as well as scattering upon rough surfaces or contaminants contribute to the decay of light.…”

“…Modes with azimuthal mode number m = 0 are two-fold degenerate due to the rotational Dettmann et al, 2009a;Dubertrand et al, 2008;Nöckel, 1997). Only the internal modes become bound states in the small opening limit n → ∞.…”

“…First, a dielectric cavity possesses internal and external modes Dettmann et al, 2009a;Dubertrand et al, 2008); see the discussion in Sec. III.…”

Ray model and ray-wave correspondence in coupled optical microdisks

“…Although the results presented are for the TM case, there is generally no lower limit of imaginary values because the mode coupling to the environment is not intrinsically limited. Rather, the coupling between internal and external (or outer or shape [49][50][51][52]) resonances, i.e. modes localized inside and outside the cavity respectively, causes as broad distribution of imaginary parts.…”

Systematization of all resonance modes in circular dielectric cavities

“…(1, 2) reveals that for each polarization there exist two kinds of resonances (see for example [2]). Following common terminology we will call them internal (or Feshbach) and external (or shape) resonances.…”