Optical microcavities are open billiards for light in which electromagnetic waves can, however, be confined by total internal reflection at dielectric boundaries. These resonators enrich the class of model systems in the field of quantum chaos and are an ideal testing ground for the correspondence of ray and wave dynamics that, typically, is taken for granted. Using phase-space methods we show that this assumption has to be corrected towards the long-wavelength limit. Generalizing the concept of Husimi functions to dielectric interfaces, we find that curved interfaces require a semiclassical correction of Fresnel's law due to an interference effect called Goos-Haenchen shift. It is accompanied by the so-called Fresnel filtering which, in turn, corrects Snell's law. These two contributions are especially important near the critical angle. They are of similar magnitude and correspond to ray displacements in independent phase-space directions that can be incorporated in an adjusted reflection law. We show that deviations from ray-wave correspondence can be straightforwardly understood with the resulting adjusted reflection law and discuss its consequences for the phase-space dynamics in optical billiards.
X-ray microcomputed tomography of 3D chaotic microcavities
Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）；College of Physics and Optoelectronic Engineering, Harbin Engineering University（哈尔滨工程大学物理与电子工程学院）；Department of Physics, Chungbuk National University（忠北国立大学物理系）；College of Information Science and Electronic Engineering, Zhejiang University（浙江大学信息与电子工程学院）
Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering
我们证明了谐波反演技术是分析光学微腔光谱特性的有力工具。作为一个有趣的例子，我们研究了完全混乱的微体育场复频率的统计特性。我们证明了开放混沌系统的分形Weyl定律[W. T. Lu，S. Sridhar和M. Zworski，Phys. Rev. Lett. 91，154101（2003）]是有效的电介质微腔，只有当混沌推斥器的概念扩展到一个多重分形纳入菲涅尔定律。
Localization in microcavities revealed by phase-space non-Hermitian skin effect
Institute for Basic Science (IBS)（基础科学研究院）；Korea University of Science and Technology (UST)（韩国科学技术院）；Kyungpook National University（庆北国立大学）；Pukyong National University（釜庆国立大学）；Hanyang University（汉阳大学）；Technische Universität Chemnitz（开姆尼茨工业大学）
