Direct stabilization of optomechanical oscillators

Huang, Ke; Hossein‐Zadeh, Mani

doi:10.1364/ol.42.001946

Cited by 8 publications

(6 citation statements)

References 18 publications

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“…We have shown that, using a simple PID controller to drive the NEMS actuator, we can improve the cavity stability by a factor of 7.21 ± 0.02 in comparison to the unlocked optical cavity. For this demonstration, we used the cavity transmission as the input to the PID controller, but alternative feedback signals, such as the oscillation amplitude in the mechanical mode of interest 24 , are also compatible with this technique.…”

Section: Discussionmentioning

confidence: 99%

Invited Article: Tuning and stabilization of optomechanical crystal cavities through NEMS integration

et al. 2018

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Nanobeam optomechanical crystals, in which localized GHz frequency mechanical modes are coupled to wavelength-scale optical modes, are being employed in a variety of experiments across different material platforms. Here, we demonstrate the electrostatic tuning and stabilization of such devices, by integrating a Si 3 N 4 slot-mode optomechanical crystal cavity with a nanoelectromechanical systems (NEMS) element, which controls the displacement of an additional "tuning" beam within the optical near-field of the optomechanical cavity. Under DC operation, tuning of the optical cavity wavelength across several optical linewidths with little degradation of the optical quality factor (Q ≈ 10 5 ) is observed. The AC response of the tuning mechanism is measured, revealing actuator resonance frequencies in the 10 MHz to 20 MHz range, consistent with the predictions from simulations. Feedback control of the optical mode resonance frequency is demonstrated, and alternative actuator geometries are presented.

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Section: Discussionmentioning

confidence: 99%

Invited Article: Tuning and stabilization of optomechanical crystal cavities through NEMS integration

et al. 2018

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“…The incident optical field pumps a Brillouin-active medium through electrostriction, which normally generates and amplifies a counter-propagating (i.e., backwardpropagating) Stokes field down-shifted relative to the incident "pump" field's frequency [1,2]. Whilst SBS can be utilized as an amplifying mechanism for Brillouin lasers, it can also degrade the performance of fiber laser sources, severely limiting their power-scaling [3][4][5][6]. It is especially detrimental for pump linewidths narrower than the Brillouin gain bandwidth of a few tens of MHz, including so-called single-frequency light.…”

Section: Introductionmentioning

confidence: 99%

“…It is especially detrimental for pump linewidths narrower than the Brillouin gain bandwidth of a few tens of MHz, including so-called single-frequency light. Therefore, accurate prediction of the power-limit by SBS is of great importance when designing and operating such a system, and thus has been receiving a considerable amount of attention [1][2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

Study on the asymptotic behavior of the interplay of stimulated Brillouin scattering and Brillouin-enhanced four-wave mixing in standard single-mode fibers

Park

Harish

Nilsson

et al. 2021

J. Korean Phys. Soc.

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We theoretically study stimulated Brillouin scattering (SBS) in a standard single-mode fiber (SMF), taking Brillouin-enhanced four-wave-mixing (BEFWM) effects into account. In particular, we investigate the case when there is non-negligible back-reflection of the forward-pump field at the rear fiber end although such reflection is typically weak and undesired. We first justify that BEFWM can be treated as a steady-state process under an undepleted pump approximation as long as the nominal SBS gain remains as low as 40 dB unless the pump, Stokes, anti-Stokes fields interact under near perfect phase-matching condition, which hardly happens in normal circumstances with a standard SMF. Under the steady-state and undepleted-pump condition, we find analytical solutions to the Stokes and anti-Stokes fields generated by the forward and backwardpump fields, and also derive their asymptotic formulae in both infinitesimal and infinite limits in terms of the phase-mismatch parameter of |Δ𝑘𝐿|, assuming that both seeding Stokes and anti-Stokes fields arise from white background noise components. When |Δ𝑘𝐿| ≪ 1, the acoustic fields driven by SBS and BEFWM tend to interfere destructively, and thus, SBS and BEFWM are anti-resonant to each other, thereby eventually resulting in both Stokes and anti-Stokes scatterings minimized at Δ𝑘 0. When |Δ𝑘𝐿| ≫ 1, all the asymptotic curves for the amplification ratios and extra gain factor obey the inverse square law with respect to |∆𝑘𝐿|, irrespective of the level of the backreflection at the rear fiber. In particular, when |Δ𝑘𝐿| is in the intermediate range where the FWM gain remains relatively large, SBS and BEFWM can be cooperative via the phase-pulling effect by the FWM gain, thereby leading to quasi-resonant growths of both Stokes and anti-Stokes fields.However, the extra gain by BEFWM reduces significantly if the level of the back-reflection remains below one percent, irrespective of the value of |Δ𝑘𝐿|. Since the interplay between SBS and BEFWM is inherently phase-dependent whilst it can still happen with white noise seeding with random phases, the related mechanism can further be exploited for all-optical switching functionality. We expect our theoretical modeling and formulation will be be useful for designing and analyzing a 3 variety of fiber systems that incorporate high-power narrow-linewidth light undergoing nonnegligible back-reflection under various conditions.

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“…These modes can be selected by adjusting the laser wavelength and coupling strength near optical resonant wavelengths with sufficient quality factor [4,10,14]. For an isolated OMO, fine tuning of each oscillation frequency over a limited range can be achieved by changing the optical power (through optical spring effect) as well as microresonator temperature [14,15]. Alternatively similar to other self-sustained oscillators, the oscillation frequency of OMO can be controlled by injection locking to another oscillator [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Injection locking of optomechanical oscillators via acoustic waves

Huang

Hossein‐Zadeh

2017

2017 International Conference on Optical MEMS and Nanophotonics (OMN)

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Injection locking is a powerful technique for synchronization of oscillator networks and controlling the phase and frequency of individual oscillators using similar or other types of oscillators. Here, we present the first demonstration of injection locking of a radiationpressure driven optomechanical oscillator (OMO) via acoustic waves. As opposed to previously reported techniques (based on pump modulation or direct application of a modulated electrostatic force), injection locking of OMO via acoustic waves does not require optical power modulation or physical contact with the OMO and it can easily be implemented on various platforms. Using this approach we have locked the phase and frequency of two distinct modes of a microtoroidal silica OMO to a piezoelectric transducer (PZT). We have characterized the behavior of the injection locked OMO with three acoustic excitation configurations and showed that even without proper acoustic impedance matching the OMO can be locked to the PZT and tuned over 17 kHz with only -30 dBm of RF power fed to the PZT. The high efficiency, simplicity and scalability of the proposed approach paves the road toward a new class of photonic systems that rely on synchronization of several OMOs to a single or multiple RF oscillators with applications in optical communication, metrology and sensing. Beyond its practical applications, injection locking via acoustic waves can be used in fundamental studies in quantum optomechanics where thermal and optical isolation of the OMO are critical.

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Direct stabilization of optomechanical oscillators

Cited by 8 publications

References 18 publications

Invited Article: Tuning and stabilization of optomechanical crystal cavities through NEMS integration

Invited Article: Tuning and stabilization of optomechanical crystal cavities through NEMS integration

Study on the asymptotic behavior of the interplay of stimulated Brillouin scattering and Brillouin-enhanced four-wave mixing in standard single-mode fibers

Injection locking of optomechanical oscillators via acoustic waves

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