This article presents a theoretical study of optomechanical systems in which the mechanical resonator modulates both the resonant frequency (dispersive coupling) and the decay rates (dissipative coupling) of the optical cavity. The generic dispersive framework is extended to a more general case in which the dissipative coupling is split between its external and intrinsic contribution. We report a complete analysis of the influence of both external and intrinsic optical losses on each of the three coupling mechanisms, highlighting the interest of each optical loss regime. A presentation of the basic model to experimentally identify the three couplings and their relative influence on the optical response is proposed. We also extend the basic tools by analyzing the mechanical dynamics and demonstrating the general expression of the optical spring effect and of optomechanical damping. A comparison between our theoretical model and experimental measurements in photonic crystal systems from the literature yields good agreement.

中文翻译：

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光学机械系统中色散，外部和固有耗散耦合的线性分析方法

本文介绍了一种光机械系统的理论研究，其中机械谐振器同时调制光腔的谐振频率（色散耦合）和衰减率（耗散耦合）。通用的色散框架扩展到了更一般的情况，在该情况下，耗散耦合在其外部和内在贡献之间分配。我们报告了对三个耦合机制中的每一个的外部和固有光学损耗的影响的完整分析，强调了每个光学损耗机制的重要性。提出了一种基本模型的表示形式，用于通过实验确定三个耦合及其对光学响应的​​相对影响。我们还通过分析机械动力学并演示光学弹簧效应和光机械阻尼的一般表达来扩展基本工具。根据文献对我们的理论模型和光子晶体系统中的实验测量结果进行比较，可以得出很好的一致性。