泄漏光学腔的有效模体积和Purcell因子
Effective mode volumes and Purcell factors for leaky optical cavities
摘要：
我们表明，任何有限耗散的光学腔，术语“腔模式”应理解为一个解决方案的亥姆霍兹方程与出射波边界条件。这种边界条件的选择，使问题的非厄米，我们证明了一个有效的模式体积的共同定义是模糊的，不适用。相反，我们提出了一种替代的有效模式的体积，可以很容易地评估的模式计算方法的基础上，通常应用在文献中。这种修正后的模体积直接适用于更广泛的物理系统，允许人们以严格和明确的方式计算Purcell效应和其他有趣的光学现象。
英文摘要：
We show that for optical cavities with any finite dissipation, the term "cavity mode" should be understood as a solution to the Helmholtz equation with outgoing wave boundary conditions. This choice of boundary condition renders the problem non-Hermitian, and we demonstrate that the common definition of an effective mode volume is ambiguous and not applicable. Instead, we propose an alternative effective mode volume which can be easily evaluated based on the mode calculation methods typically applied in the literature. This corrected mode volume is directly applicable to a much wider range of physical systems, allowing one to compute the Purcell effect and other interesting optical phenomena in a rigorous and unambiguous way.
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