光机梁弹性Purcell因子和Fano共振的准简正模理论
Quasinormal mode theory of elastic Purcell factors and Fano resonances of optomechanical beams
摘要：
我们介绍了一个准正规模理论的机械光机械谐振器的开放腔模式，并证明了使用广义（复杂）的有效模式体积和相位的准正规模的重要性。我们首先概括和固定的正常模式理论的弹性Purcell因子，然后显示一个引人注目的例子耦合quasinormal模式产生一个明显的Fano共振。我们的理论是例证和确认的全三维计算光机械梁，但一般的调查结果适用于广泛的机械腔模式。这种准正规的机械模式的形式主义，当也耦合到一个准正规理论的光学腔，提供了一个统一的框架，用于描述广泛的光学机械结构中的耗散是一个固有的谐振器模式的一部分。
英文摘要：
We introduce a quasinormal mode theory of mechanical open-cavity modes for optomechanical resonators, and demonstrate the importance of using a generalized (complex) effective mode volume and the phase of the quasinormal mode. We first generalize and fix the normal mode theories of the elastic Purcell factor, and then show a striking example of coupled quasinormal modes yielding a pronounced Fano resonance. Our theory is exemplified and confirmed by full three-dimensional calculations on optomechanical beams, but the general findings apply to a wide range of mechanical cavity modes. This quasinormal mechanical mode formalism, when also coupled with a quasinormal theory of optical cavities, offers a unified framework for describing a wide range of optomechanical structures where dissipation is an inherent part of the resonator modes.
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