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Harayama T, Shinohara S. Ray-wave correspondence in chaotic dielectric billiards. Phys Rev E Stat Nonlin Soft Matter Phys. 2015;92(4):042916doi: 10.1103/PhysRevE.92.042916.
Harayama, T., & Shinohara, S. (2015). Ray-wave correspondence in chaotic dielectric billiards. Physical review. E, Statistical, nonlinear, and soft matter physics, 92(4), 042916. https://doi.org/10.1103/PhysRevE.92.042916
Harayama, Takahisa, and Shinohara, Susumu. "Ray-wave correspondence in chaotic dielectric billiards." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 92,4 (2015): 042916. doi: https://doi.org/10.1103/PhysRevE.92.042916
Harayama T, Shinohara S. Ray-wave correspondence in chaotic dielectric billiards. Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042916. doi: 10.1103/PhysRevE.92.042916. Epub 2015 Oct 19. PMID: 26565313.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042916. doi: 10.1103/PhysRevE.92.042916. Epub 2015 Oct 19.

Ray-wave correspondence in chaotic dielectric billiards.

Physical review. E, Statistical, nonlinear, and soft matter physics

Takahisa Harayama, Susumu Shinohara

Affiliations

  1. Department of Applied Physics, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan.
  2. NTT Communication Science Laboratories, NTT Corporation, 2-4 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0237, Japan.

PMID: 26565313 DOI: 10.1103/PhysRevE.92.042916

Abstract

Based on the reformulation of the boundary integral equations recently derived by Creagh, Hamdin, and Tanner [J. Phys. A: Math. Theor. 46, 435203 (2013)] together with semiclassical (short wavelength) approximation, we theoretically show that low-loss resonances of a fully chaotic dielectric billiard can be related with ray dynamical orbits whose intensities are weighted by the Fresnel reflection and transmission coefficients. In addition, it is revealed that intensity localization spots observed in the phase-space representation of an individual resonance wave function are ray-dynamically correlated.

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