Manifestation of ray chaos in optical cavities

Susumu Shinohara, Takahisa Harayama

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationTrends in Nano- and Micro-Cavities
PublisherBentham Science Publishers Ltd.
Pages62-108
Number of pages47
ISBN (Print)9781608051090
DOIs
Publication statusPublished - 2011 Dec 1
Externally publishedYes

ASJC Scopus subject areas

  • Engineering(all)

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    Shinohara, S., & Harayama, T. (2011). Manifestation of ray chaos in optical cavities. In Trends in Nano- and Micro-Cavities (pp. 62-108). Bentham Science Publishers Ltd.. https://doi.org/10.2174/978160805236311101010062