Trends in Nano- and Micro-Cavities

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This ebook is a collection of cutting edge articles from the 2009 Workshop on Microcavities and their Applications (WOMA 2009). It gives readers an overview of state-of-the-art opto electronic ...
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Manifestation of ray chaos in optical cavities

Pp. 62-108 (47)

DOI: 10.2174/978160805236311101010062

Author(s): Susumu Shinohara, Takahisa Harayama

Abstract

The correspondence between ray and wave descriptions for twodimensional chaotic open billiards describing optical cavities is reviewed. Focusing on the stadium-shaped cavity, which is well-known for its fully chaotic ray dynamics, we show how ray chaos is manifested in emission patterns, or eigenfunctions of resonances (decaying eigenmodes). The flux phase-space distribution is introduced, which not only enables one to understand the relation between ray dynamics and emission directionality, but also provides a suitable stage to study the ray-wave correspondence. We observe intrinsic localization phenomenon in each resonance, which causes discrepancies with the ray description. Nonetheless, we demonstrate that the average of many low-loss resonances reproduces the ray description very well, where one can clearly observe that signature of ray chaos (i.e., long-term effects of stretching and folding) is embedded in resonance eigenfunctions.