Linear analytical approach to dispersive, external dissipative, and intrinsic dissipative couplings in optomechanical systems

Abstract

This paper 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.