Harayama Takahisa, Shinohara Susumu
Department of Applied Physics, School of Advanced Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan.
NTT Communication Science Laboratories, NTT Corporation, 2-4 Hikaridai, Seika-cho, Soraku-gun, Kyoto 619-0237, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042916. doi: 10.1103/PhysRevE.92.042916. Epub 2015 Oct 19.
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.
基于Creagh、Hamdin和Tanner最近推导的边界积分方程的重新表述[《物理学报A：数学理论》46, 435203 (2013)]，并结合半经典（短波长）近似，我们从理论上表明，完全混沌介电台球的低损耗共振可以与光线动力学轨道相关联，这些轨道的强度由菲涅耳反射和透射系数加权。此外，研究发现，在单个共振波函数的相空间表示中观察到的强度局域化点在光线动力学上是相关的。
