Ray-wave correspondence in limaçon-shaped semiconductor microcavities

Abstract

The limaçon-shaped semiconductor microcavity is a ray-chaotic cavity sustaining low-loss modes with mostly unidirectional emission patterns. Investigating these modes systematically, we show that the modes correspond to ray description collectively, rather than individually. In addition, we present experimental data on multimode lasing emission patterns that show high unidirectionality and closely agree with the ray description. The origin of this agreement is well explained by the collective correspondence mechanism.

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

“…Even microcavities supported by a pedestal are described in sufficient accuracy (Lozenko et al, 2012). Moreover, the near-field pattern Redding et al, 2012b) and far-field pattern Shinohara et al, 2009) of deformed microdisks computed in the effective-index approximation agree with experimental data.…”

“…The localization, however, is not uniform because of quantum fluctuations. In the case of microcavities these fluctuations can have a significant impact on the far-field emission pattern (Shinohara et al, 2008(Shinohara et al, , 2009). …”

“…1), most of them either produce multidirectional output beams or have relatively low Q factor (Wiersig et al, 2011b). The goal of combining unidirectional emission with high Q has been reached recently with a deformed microdisk whose boundary is described by the limaçon of Pascal (Shinohara et al, 2009;Song et al, 2009b;Yan et al, 2009;Yi et al, 2009). In addition, the reverse process, i.e., free space excitation of directional high Q modes in a deformed cavity, is made efficient with an appropriate choice of the pump beam direction and impact position.…”

Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities

“…1. The special case ε 2 = 0 is the limaçon cavity [19,26,[28][29][30][31][32][33]. For nonzero ε 1 , ε 2 and δ = 0, π the system does not possess any mirror symmetry.…”

Theory of free space coupling to high-Q whispering gallery modes

“…The underlying principle and interesting chaotic ray dynamics in such an open billiard have been studied extensively [39][40][41][42][43]. Especially, the unidirectional emission cavities have been successfully designed [44][45][46][47][48][49][50][51], which enable high efficient collection of high-Q WGMs through free space. As the reversal of emission, the focused beam in free space can excite the WGMs, which have been studied in experiments [52][53][54][55][56][57].…”