Lasing on scar modes in fully chaotic microcavities

Abstract

Scar wave functions in a fully chaotic cavity are obtained numerically by an extended Fox-Li method. Lasing on the scar modes are observed in a semiconductor microcavity with a selective excitation of different scars controlled by corresponding shape of electrodes for current injection.

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

“…Numerical simulations indicate that scarring in optical microcavities with strongly chaotic ray dynamics is rather the rule than the exception; see, e.g., Fang et al, , 2005bHarayama et al, 2003;Lee et al, 2002Lee et al, , 2007cLee et al, , 2004Lee et al, , 2005Rex et al, 2002;Wiersig, 2006;Wiersig et al, 2010). This conclusion can also be drawn from studies of open quantum maps (Ermann et al, 2009;Wisniacki and Carlo, 2008).…”

“…This interference effect has been discussed in terms of a periodic-orbit-sum formula by Fukushima et al (2006). These theoretical findings have been confirmed experimentally in GaAs/AlGaAs (Harayama et al, 2003), GaAs and polymer microstadia . The observation of localization along multiple periodic orbits is consistent with a recent study of an open three-disk system (Weich et al, 2014) which relates this phenomenon to the formation and interaction of resonance chains in the complex frequency plane.…”

“…11(c). Theoretical analyzes of such a microcavity revealed a localization along multiple periodic orbits (Fang et al, 2005b;Harayama et al, 2003). Associated with this localization is a non-monotonic decrease of the Q-factor with increasing deformation because of interference of waves propagating along different constituent orbits (Fang et al, 2005b).…”

Non-Hamiltonian dynamics in optical microcavities resulting from wave-inspired corrections to geometric optics

“…We have presented strong evidences that these results explain previous observations of 'quasi-scared' modes in spiral microcavities and of broken time reversible symmetry. We expect that other violations of the ray-wave correspondence can be explained similarly, e.g., the observation of disproportionally many regular, scarred, and scar-like resonances [4,5,10,12,27,33,34,35,36] might be related to the creation of periodic attractors, and discrepancies in the far-field pattern [12,15] might be explained by the effect of Ff and GHs on invariant sets and their unstable manifolds. Although we focused on the case of optical microcavities, where Ff and GHs are well established effects, our main results apply likewise to acous-tic, seismic, and ultrasound waves whenever deviations from the specular reflection become relevant, e.g., when the wave length becomes comparable to the system size.…”

Resonance patterns in a stadium-shaped microcavity

“…There are several reports for observation of scarred lasing modes in various microcavities whose patterns show enhanced field intensity along an unstable periodic orbit of the cavity [9,10,11,12]. Moreover, due to the inherent properties of the dielectric cavities, the existence of quasi-scarred resonance modes [13], which are not supported by any unstable periodic orbit, are suggested and numerically confirmed in a spiralshaped dielectric microdisk.…”