Synchronization in air-slot photonic crystal optomechanical oscillators

Huang, Yongjun; Wu, Jiagui; Flores, Jaime Gonzalo Flor; Yu, Mingbin; Kwong, Dim‐Lee; Wong, Chee Wei

doi:10.1063/1.4978671

Cited by 9 publications

(7 citation statements)

References 29 publications

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“…When the latter overcomes the internal mechanical friction, a Hopf bifurcation towards a regime of self-induced mechanical oscillations takes place [28,29,30,31,32,33], with a fixed amplitude, and a free running oscillation phase, which may lock to external forces or to other optomechanical oscillators [34]. This mutual phase-locking of self-oscillating resonators is at the basis of optomechanical synchronization, which has been thoroughly investigated both theoretically [5,19,20,35,36,37,38,39,40,41,42], and experimentally [43,44,45,46,47,48,49,50,51,52] under different configurations. The non-linear effects of radiation pressure manifest themselves whenever the mechanical motion produces a cavity frequency shift comparable or larger than the optical linewidth, resulting in a nontrivial modification of the cavity response to the external driving.…”

Section: Introductionmentioning

confidence: 99%

Two-membrane cavity optomechanics

et al. 2018

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We study the optomechanical behaviour of a driven Fabry-Pérot cavity containing two vibrating dielectric membranes. We characterize the cavity mode frequency shift as a function of the twomembrane positions, and report a ∼2.47 gain in the optomechanical coupling strength of the membrane relative motion with respect to the single membrane case. This is achieved when the two membranes are properly positioned to form an inner cavity which is resonant with the driving field. We also show that this two-membrane system has the capability to tune the single-photon optomechanical coupling on demand, and represents a promising platform for implementing cavity optomechanics with distinct oscillators. Such a configuration has the potential to enable cavity optomechanics in the strong single-photon coupling regime, and to study synchronization in optically linked mechanical resonators.

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Section: Introductionmentioning

confidence: 99%

Two-membrane cavity optomechanics

et al. 2018

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“…Optical backaction in this case counteracts the internal mechanical friction, and when the total effective damping becomes equal to zero, a Hopf bifurcation into a regime of self-induced mechanical oscillations takes place [23,[28][29][30][31][32][33][34]. A fixed amplitude limit cycle is established, with a free running oscillation phase, which may lock to external forces or to other optomechanical oscillators [35], leading to synchronization (see references [12,15,16,22,[36][37][38][39][40][41][42] for theoretical characterizations, and references [17][18][19][20][21]24,[43][44][45][46] for experimental demonstrations in optomechanical and electromechanical devices). In the specific case of the two-membrane-in-the-middle setup of interest here, self-organized synchronization, phase-locking, and the transition between in-phase and antiphase regimes have been qualitatively demonstrated [24], without calibration of the mechanical displacements.…”

Section: Introductionmentioning

confidence: 99%

Two-Membrane Cavity Optomechanics: Linear and Non-Linear Dynamics

et al. 2022

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In this paper, we review the linear and non-linear dynamics of an optomechanical system made of a two-membrane etalon in a high-finesse Fabry–Pérot cavity. This two-membrane setup has the capacity to modify on demand the single-photon optomechanical coupling, and in the linearized interaction regime to cool simultaneously two mechanical oscillators. It is a promising platform for realizing cavity optomechanics with multiple resonators. In the non-linear regime, an analytical approach based on slowly varying amplitude equations allows us to derive a consistent and full characterization of the non-linear displacement detection, enabling a truthful detection of membrane displacements much above the usual linear sensing limited by the cavity linewidth. Such a high quality system also shows a pre-synchronization regime.

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“…Laser-cooled atoms and quantum interferometry has provided new advances in precision measurements of fundamental constants [1], time [2], forces [3], gravity [4,5], gravitational red-shift [6], and inertial sensing [7], In parallel, recent advances in radiation-pressure driven cavity optomechanics [8,9] have provided new frontiers for laser cooling of mesoscopic systems [10][11][12], chip-scale stable RF sources [13][14][15], phonon lasers [16], induced-transparency through multi-mode interferences [17,18], chaos generation and transfer [19,20], and explorations into potential quantum transductions of microwave, spin, and optical qubits [21,22]. In cavity optomechanics, the optical cavity and mechanical resonator are co-designed to achieve large optomechanical coupling and transduction [9,23].…”

Section: Introductionmentioning

confidence: 99%

A Chip‐Scale Oscillation‐Mode Optomechanical Inertial Sensor Near the Thermodynamical Limits

Huang

Flores

et al. 2020

Laser & Photonics Reviews

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Modern navigation systems integrate the global positioning system (GPS) with an inertial navigation system (INS), which complement each other for correct attitude and velocity determination. The core of the INS integrates accelerometers and gyroscopes used to measure forces and angular rate in the vehicular inertial reference frame. With the help of gyroscopes and by integrating the acceleration to compute velocity and distance, precision and compact accelerometers with sufficient accuracy can provide small-error location determination. Solid-state implementations, through coherent readout, can provide a platform for high performance acceleration detection. In contrast to prior accelerometers using piezoelectric or capacitive readout techniques, optical readout provides narrow-linewidth high-sensitivity laser detection along with low-noise resonant optomechanical transduction near the thermodynamical limits. Here an optomechanical inertial sensor with an 8.2 µg Hz −1/2 velocity random walk (VRW) at an acquisition rate of 100 Hz and 50.9 µg bias instability is demonstrated, suitable for applications, such as, inertial navigation, inclination sensing, platform stabilization, and/or wearable device motion detection. Driven into optomechanical sustained-oscillation, the slot photonic crystal cavity provides radio-frequency readout of the optically-driven transduction with an enhanced 625 µg Hz −1 sensitivity. Measuring the optomechanically-stiffened oscillation shift, instead of the optical transmission shift, provides a 220× VRW enhancement over pre-oscillation mode detection.

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Synchronization in air-slot photonic crystal optomechanical oscillators

Cited by 9 publications

References 29 publications

Two-membrane cavity optomechanics

Two-membrane cavity optomechanics

Two-Membrane Cavity Optomechanics: Linear and Non-Linear Dynamics

A Chip‐Scale Oscillation‐Mode Optomechanical Inertial Sensor Near the Thermodynamical Limits

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