混沌微腔的分形外尔定律：菲涅耳定律蕴含多重分形散射
Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering
摘要：
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。
英文摘要：
We demonstrate that the harmonic inversion technique is a powerful tool to analyze the spectral properties of optical microcavities. As an interesting example we study the statistical properties of complex frequencies of the fully chaotic microstadium. We show that the conjectured fractal Weyl law for open chaotic systems [W. T. Lu, S. Sridhar, and M. Zworski, Phys. Rev. Lett. 91, 154101 (2003)] is valid for dielectric microcavities only if the concept of the chaotic repeller is extended to a multifractal by incorporating Fresnel's laws.
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