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.

Ag/Au alloy entangled in a protein matrix: A plasmonic substrate coupling surface plasmons and molecular chirality

“…A single mode (iii), located in the middle of the frequency range, and side modes ((i)-(ii);(iv)-(v) Figure 3d) are traits associated with the multilayer trace. These side modes are distinguished by a similarity of the quality factor (Table 2), which highlights the split resonance doublet trait and is attributed to a degeneracy excitement of the resonant modes caused by a dispersive coupling, in contraposition to dissipative coupling played by the resonant mode (iii) [9] [18] . By applying stress to the inner section of the two mirrors, a finite element analysis produces coherently, in-plane eigenmodes at the doublets and a dissipative out-of-plane deformation at 2.3 MHz (Figure 3e).…”

“…Numerous sensing devices based on the coupling of the optical and mechanical domains [1][2][3][4] [5,6] in the form of optomechanical resonators (such as cantilevers [7] and cavities [8] ) have been developed during the past decade [1] as a result of recent micro and nanooptics advances. The optomechanical coupling is classified as dispersive and dissipative [9] , depending on whether the mechanical resonator modulates the resonant frequency by changing the cavity length or the decay rates by altering the optical input coupling or intracavity loss and these variations measure the system sensitivity. Interferometers in the form of Fabry-Pérot cavity are optomechanical resonators [10] [11] that are frequently used as extremely accurate force detectors [12,13] .…”

Design and Analysis of Optomechanical Micro-Gyroscope for Angular-Vibration Detection

“…Furthermore, the amplitude of the output field is described by a relation involving the input field amplitude and the intracavity field amplitude, as established by the pertinent cavity input-output theory [18,[33][34][35][36], we obtain:…”

An investigation of rotation rate sensitivity of a quantum optomechanical gyroscope with two coupled cavities

“…Since the fluctuations of the quantum operators in these relationships are much smaller compared to their classical average values [13], we consider their changes in the form of a linear approximation, i.e., 𝑂 ̂= 𝑂 ̅ + 𝛿 ̂𝑂, where 𝑂 ̅ and 𝛿 ̂𝑂 are respectively the classical average value and fluctuation of the corresponding operator. On the other hand, according to the general model of optomechanical interactions, in which the internal and external dissipation rates of the cavity are dependent on the movement of the mechanical oscillator, we consider two regimes, Over- and external dissipation, internal dissipation coupling, external dissipation coupling and dispersive coupling rates respectively [14]. Also 𝑔 𝑜𝑚 = 𝜒 𝑐 ℏ ⁄ .…”