论文标题
介电腔中的混沌共振模式：有条件不变的度量和通用波动的乘积
Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
论文作者
论文摘要
我们猜想散射系统中的混乱共振模式是从经典动力学和通用指数分布的波动中有条件不变的度量的产物。第一个因素的多纹状体结构在很大程度上取决于模式的寿命，并描述了具有相似寿命的模式的平均值。该猜想是在小波长下具有混乱的射线动力学的介电腔，特别是对于最长寿命的实验相关模式。我们解释了基于多种折段和普遍波动的射线段中绝大多数模式的疤痕，这在概念上与周期性轨道疤痕不同。
We conjecture that chaotic resonance modes in scattering systems are a product of a conditionally invariant measure from classical dynamics and universal exponentially distributed fluctuations. The multifractal structure of the first factor depends strongly on the lifetime of the mode and describes the average of modes with similar lifetime. The conjecture is supported for a dielectric cavity with chaotic ray dynamics at small wavelengths, in particular for experimentally relevant modes with longest lifetime. We explain scarring of the vast majority of modes along segments of rays based on multifractality and universal fluctuations, which is conceptually different from periodic-orbit scarring.
