论文标题

弹性purcell因子的准模式理论和光力束的FANO共振

Quasinormal mode theory of elastic Purcell factors and Fano resonances of optomechanical beams

论文作者

El-Sayed, Al-Waleed, Hughes, Stephen

论文摘要

我们引入了用于光学谐振器的机械开放式腔模式的准模式理论,并证明了使用通用(复杂的)有效模式体积和准模式的相位的重要性。我们首先将弹性Purcell因子的正常模式理论概括并固定,然后显示出耦合的准模式的示例,产生明显的FANO共振。我们的理论是通过对光学梁的完整三维计算来体现和确认的,但是一般发现适用于广泛的机械腔模式。这种准机械模式形式主义与光学腔的准理论相结合时,提供了一个统一的框架,用于描述耗散是谐振器模式的固有部分的各种光学机械结构。

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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