Marginally Unstable Periodic Orbits in Semiclassical Mushroom Billiards

Abstract

Optical mushroom shaped billiards offer a unique opportunity to isolate and study non-dispersive, marginally unstable periodic orbits. Here we show that the openness of the cavity to external fields presents unanticipated consequences for the far-field distribution, including directional emission. This is mediated by interactions of marginally unstable periodic orbits with chaotic modes and is potentially relevant for the design of microcavity lasers. We also show that such orbits are robust against perturbations to the shape of the cavity, despite the non-generic character of the classical counterpart and the lack of structural stability of the corresponding classical orbits.

arXiv comment10 pages, 6 figures

References in corpus (9)

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• Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
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• Recent advances in open billiards with some open problems
• Quantifying intermittency in the open drivebelt billiard
• Magnetic field-induced control of transport in multiterminal focusing quantum billiards
• Counting statistics of chaotic resonances at optical frequencies: theory and experiments
• Spherical wedge billiard: from chaos to fractals and Talbot carpets
• Magnetotransport in a perturbed periodic antidot superlattice