Scarred resonances and steady probability distribution in a chaotic microcavity

Abstract

We investigate scarred resonances of a stadium-shaped chaotic microcavity. It is shown that two components with different chirality of the scarring pattern are slightly rotated in opposite ways from the underlying unstable periodic orbit, when the incident angles of the scarring pattern are close to the critical angle for total internal reflection. In addition, the correspondence of emission pattern with the scarring pattern disappears when the incident angles are much larger than the critical angle. The steady probability distribution gives a consistent explanation about these interesting phenomena and makes it possible to expect the emission pattern in the latter case.

Chaos-assisted emission from asymmetric resonant cavity microlasers

“…Hence, it is the ray dynamics around the critical lines for the TIR that determine the emission pattern. In fact, such ray dynamics is governed by the unstable manifolds emanating from an unstable short-periodic point located near the critical line [37][38][39][40][41]. In Fig.…”

Directional emission through dynamical tunneling in a deformed microcavity

“…One of the important issues related to photonics applications is the emission directionality of high-Q modes. In a strong deformation regime, characterized by chaotic ray dynamics, the emission directionality has been extensively studied and is now well understood by unstable-manifold structures near the line of the critical angle in phase space [10][11][12][13]. However, for a weak deformation regime with almost regular Poincaré surface of section (PSOS) above the critical line, only a few works have treated the emission property of high-Q modes [14,15].…”

Differences between emission patterns and internal modes of optical resonators

“…There one finds that the geometry of ray-dynamical phase space and the corresponding internal mode structure typically provide a good basis for exploring the directional emission important to lasing applications (see, for example, [7][8][9][10][11][12][13][14][15][16][17]). The distinguishing feature of the regime we consider is that evanescent escape proceeds directly from the ray family underlying the internal mode rather than being mediated by tunneling to regions of phase space allowing refractive escape, as is the case for larger deformations.…”