Chip-integrated Brillouin Saser Gyroscope (2511.16525v1)
Abstract: On-chip Brillouin laser gyroscopes harnessing opto-acoustic interaction are an emerging approach to detect rotation, due to their small footprint, excellent stability and low power consumption. However, previous implementations rely solely on optical readout, leaving the simultaneously generated saser (sound amplification by stimulated emission) undetected due to the lack of capability to access the acoustic output. Here, we propose a gyroscope based on saser detection using a suspension-free chip platform that supports low-loss confinement of both optical and acoustic modes. With experimental feasible parameter with optical and acoustic quality factors of 105 and 5000, respectively, sasers show significantly suppressed thermal and frequency noises, leading to gyroscope performance that outperforms its optical counterparts. We predict an angle random walk ~0.1 deg/sqrt(h) by saser gyroscope, while a conventional Brillouin laser gyroscope requires significantly higher pump power and optical quality factor to achieve comparable performance. Our work establishes the foundation for active phononic integrated circuits with Brillouin gain, opening avenues in inertial sensing, quantum transduction, and RF signal processing.
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Overview
This paper proposes a new kind of tiny, chip-based gyroscope (a device that measures how fast something is rotating). It uses not only light but also sound waves on a chip to sense rotation. The big idea is to read out the “saser” signal — a laser-like beam made of sound — instead of only the laser light. Thanks to new chip technology that can guide and detect high‑frequency sound, the authors show that listening to sound can actually measure rotation more accurately than just looking at light.
What questions were the researchers asking?
The paper focuses on simple but important questions:
- If a Brillouin laser on a chip naturally creates both light waves (laser) and sound waves (saser), can we read out the sound to build a better gyroscope?
- Under what conditions (chip quality and power) does sound-based readout beat light-based readout?
- How do different kinds of noise (like heat and wobbly pump lasers) affect the accuracy of the gyroscope?
How did they approach the problem?
The device idea
Think of a racetrack in the shape of a ring on a chip. Light and sound both run around this ring in opposite directions: clockwise (CW) and counter‑clockwise (CCW). When the ring rotates, one direction becomes effectively “longer” and the other “shorter.” That changes the pitch (frequency) of the waves slightly in opposite ways. By comparing the two directions, you can tell how fast the ring is rotating.
- The chip is made with a platform called lithium niobate on sapphire (LNOS), which can carry both light and very high‑frequency sound (gigahertz).
- Metal fingers called interdigital transducers (IDTs) convert sound waves into electrical signals, so you can “hear” the sound with electronics.
Key concepts explained
- Sagnac effect: Imagine two runners (waves) start at the same time but run around a rotating track in opposite directions. Because the track is moving, they don’t finish together — one path is effectively longer. For waves, this shows up as a tiny frequency difference that tells you the rotation rate.
- Brillouin interaction: When you shine a strong laser into the ring, it can create a second, weaker light wave and a sound wave at the same time (they “share” energy). Above a certain pump power (the threshold), both the laser and the saser start oscillating strongly — like a whistle that starts to sing when you blow hard enough.
- Saser: Short for “sound amplification by stimulated emission.” It’s the sound version of a laser — very pure, steady, single‑tone sound at very high frequency.
- Quality factor (Q): How well a ring stores a wave. High Q means low loss and a very sharp, stable tone (narrow “linewidth”). You can have Q for light (optical Q) and Q for sound (acoustic Q).
- Beat note: If you have two very similar tones, you hear a slow “wobble” equal to their frequency difference. The device measures the beat note between the CW and CCW waves. That difference directly tells you the rotation rate.
- Noise:
- Thermal noise: Random jiggles from heat — worse for sound at room temperature.
- Pump laser noise: The input laser’s frequency can wobble; that wobble can leak into the outputs (light and sound).
Modeling and simulations
The authors used realistic chip parameters and math models to predict:
- How the linewidth (how “sharp” the tone is) of the laser and saser depends on pump power, temperature, and noise.
- How the frequency difference (beat note) responds to rotation.
- A standard gyroscope performance number called ARW (Angle Random Walk), with units like degrees per square‑root hour. Smaller ARW means a more precise gyro.
They studied three regimes:
- Laser‑dominated (low acoustic Q, sound leaks out fast)
- Cross‑over (intermediate)
- Saser‑dominated (high acoustic Q, sound is well trapped)
Main results
Here are the most important findings:
- Saser has built‑in sensitivity advantage: Because sound travels slower than light, the Sagnac frequency shift for sound is about twice that for light. So the saser can be roughly 2× more sensitive to rotation.
- Noise is split between light and sound depending on their losses: The pump laser’s wobble mostly leaks into the wave (light or sound) that has the bigger linewidth (lower Q). If the sound Q is high (narrow linewidth), the saser becomes largely immune to pump noise. That means much cleaner rotation signals from the sound port.
- Lower noise with realistic chip values: With optical Q around 105–106 and acoustic Q around 5000 (values within reach today), the saser’s frequency is much quieter than the laser’s for the same pump. Thermal noise also drops with more power and with better Q.
- Better overall gyro precision (ARW): The predicted ARW is about 0.1 degrees per square‑root hour using the saser, at practical power levels. They report a specific example of about 0.085 deg/√h at 200 mW pump (and even ~0.51 deg/√h at just 5 mW). Matching this performance with a traditional light‑only Brillouin gyroscope would require either:
- Extremely high optical Q (greater than 1010, which is not practical on most chips), or
- About 100 times more pump power.
- Practical readout: Because the chip is piezoelectric (thanks to lithium niobate), the high‑frequency sound can be turned directly into an electrical signal by IDTs, making detection straightforward.
Why this is important
This approach shows a new path to small, low‑power, and highly stable gyroscopes by “listening” to the sound that Brillouin devices already generate but previously ignored. It also takes advantage of recent progress in phononic (sound‑based) circuits on chips:
- Smaller size and lower power for navigation sensors in drones, robots, phones, and wearables.
- Better performance without needing ultra‑perfect optical components.
- A practical way to build “active” sound circuits on chips using Brillouin gain, which could help in:
- Precision measurement (sensing very small changes)
- Quantum transduction (converting signals between different forms, like microwaves and optics)
- Radio‑frequency (RF) signal processing (filters, oscillators, and more)
Takeaway
By detecting the saser — the sound that comes along with the laser in a Brillouin device — a chip‑scale gyroscope can become both more sensitive and less noisy. With achievable chip quality and modest power, the saser‑based gyroscope clearly outperforms traditional light‑only designs, opening the door to a new generation of compact, accurate rotation sensors and advanced sound‑based chips.
Knowledge Gaps
Knowledge gaps, limitations, and open questions
Below is a concise list of what remains missing, uncertain, or unexplored in the paper. Each point is phrased to guide concrete future research.
- No experimental validation of a chip-integrated saser gyroscope: the proposal is purely theoretical/simulation-based; fabrication, measurement of the microwave beatnote via IDTs, and end-to-end system demonstrations are absent.
- Unquantified and device-specific Brillouin parameters on LNOS (e.g.,
g0, effective Brillouin gain, thresholds): the paper uses general feasibility claims without reporting measured coupling strengths, thresholds, or extraction efficiencies for the proposed geometry. - Assumptions of simultaneous critical coupling for both optical and acoustic modes are not justified; achieving and maintaining critical coupling for both ports on the same device is nontrivial and the impact of over/under-coupling on sensitivity is not analyzed.
- The factor-of-two Sagnac sensitivity for acoustics relies on approximate wavevector arguments; a full derivation including group velocity, dispersion, and modal confinement effects (optical vs acoustic) is missing, and no numerical validation on realistic device geometries is provided.
- Phase matching under rotation is not addressed: rotation induces resonance splitting and detuning that may disrupt Brillouin phase matching and gain symmetry for CW/CCW paths; the required tuning mechanisms and their bandwidths are unspecified.
- Mutual competition and mode selection between simultaneous laser and saser outputs are not analyzed: risks of multimode oscillation, injection locking, and unequal thresholding for CW/CCW directions could degrade beatnote stability.
- Backscattering-induced lock-in and dead-band behavior—well-known in ring laser gyroscopes—are not considered for either optical or acoustic modes; mitigation strategies (e.g., dithering, engineered nonreciprocity) for the saser domain are not proposed.
- IDT directional selectivity and isolation between CW and CCW acoustic propagation are not characterized; cross-talk between the two IDTs, finite directivity, and reflection-induced bias are unquantified.
- Acoustic outcoupling trade-offs are not treated: designing IDT and phonon waveguide coupling to simultaneously achieve high
Q_acoand efficient extraction is a hard optimization that is not explored. - The noise model excludes key technical noise sources in the electrical readout chain (Johnson/thermal noise, amplifier noise figure, impedance mismatch, flicker/1/f noise), which may dominate the saser detection and thus the achievable ARW.
- Pump noise treatment is limited to frequency noise; conversion of pump intensity noise (RIN) into phase/frequency fluctuations through thermo-optic, Kerr, photorefractive, and opto-acoustic pathways is not included.
- Temperature effects beyond thermal phonon occupancy are not modeled: temperature-dependent variations in acoustic velocity, optical index,
Qfactors, piezoelectric coupling, and photorefractive behavior in LN could bias the scale factor and ARW. - Thermal management at higher pump powers (e.g., 50–200 mW) is not addressed; local heating may reduce
Q_aco, shift resonance frequencies, alterg0, and increase drift/bias instability, counteracting predicted ARW benefits. - The ARW metric is computed from intrinsic linewidths only; bias instability, scale factor stability, long-term drift, environmental sensitivities (temperature, vibration, strain), and cross-axis sensitivity are not characterized.
- Measurement bandwidth, dynamic range, and linearity of the gyroscope (in both saser and laser regimes) are unspecified; practical operation limits under dynamic rotations are not evaluated.
- The assumption that saser inherits pump-noise immunity in the high-
Q_acoregime lacks analysis near threshold and in the crossover regime; nonlinear gain saturation and mode pulling under realistic conditions are not addressed. - Impact of fabrication tolerances, material anisotropy in LN (crystal orientation), electrode parasitics, and lithographic imperfections on acoustic confinement,
Q_aco, and phase-matching is not studied. - Acoustic loss mechanisms specific to the proposed architecture (metal electrode damping, substrate leakage, thermoelastic damping, electrode-induced scattering) are not quantified across the 9 GHz band.
- Integration and packaging challenges (RF routing, electromagnetic shielding, thermal stabilization, strain isolation) needed to preserve acoustic and optical
Qs on a practical chip are not discussed. - The feasibility of achieving the simulated optical
Q_optvalues on the same LNOS platform is not reconciled: simulations useQ_opt ~ 10^7, later claims emphasize10^5–10^6; realistic, wafer-scale measuredQ_optdistributions are missing. - No quantitative comparison to state-of-the-art integrated ring laser gyroscopes (chip-scale ARW, bias, power, size) is provided; benchmarking is necessary to substantiate claims of superiority.
- The beatnote extraction and processing chain for the saser (microwave domain) is not detailed: LO requirements, phase noise of the reference, digitization strategy, and DSP needed to reach the predicted ARW are unspecified.
- Potential cross-sensitivity to linear acceleration, strain, and microphonics—likely significant for acoustic waves—is not analyzed; isolation strategies and calibration methods are not presented.
- Multi-physics interactions in LN (electro-optic, piezoelectric, photorefractive, thermo-optic) under high field/power operation are not modeled; their effect on linewidths, drift, and stability remains unclear.
- Scalability and yield of the “Zhengfu” architecture for high-
Q_acophononic circuits are unproven at wafer scale; variability inQ,g0, thresholds, and coupling across devices needs characterization. - The simple Sagnac shift formula used (
Δω ∝ (ωR/v)Ω) lacks rigorous derivation for ring whispering-gallery and guided acoustic modes, and omits corrections due to dispersion, bending, and confinement—calling for a more exact treatment. - Extraction of absolute rotation from beatnotes when CW/CCW gains or thresholds differ due to asymmetries is not addressed; calibration procedures to remove fixed bias and scale factor errors are missing.
- Multi-mode acoustic spectrum near 9 GHz and mode crowding are not analyzed; spurious modes may degrade beatnote purity and increase noise.
- Reliability of long-term operation (electrode aging, metal migration, dielectric charging, LN photorefractive damage) under continuous pumping is not evaluated.
These gaps suggest immediate directions: fabricate and measure a full device, develop a comprehensive multi-physics and noise model (including the RF chain), rigorously derive the acoustic Sagnac response for guided modes, and benchmark against state-of-the-art gyroscopes under realistic operational conditions.
Practical Applications
Immediate Applications
The following applications can be pursued with existing thin-film lithium niobate on sapphire (LNOS) platforms, critically coupled photonic/phononic microrings, and GHz IDTs, leveraging the paper’s demonstrated noise advantages of saser readout (ARW ≈ 0.085–0.5 deg/√h at 5–200 mW; 2× higher Sagnac sensitivity than optical).
- Chip-scale saser gyroscope modules for mid-grade inertial sensing
- Sectors: robotics (AMRs/AGVs, warehouse automation), drones/UAVs, AR/VR headsets and controllers, industrial equipment stabilization (gimbals, inspection robots).
- Tools/products/workflows: LNOS microring with backward SBS, dual-port (optical and phononic) readout, IDT-to-microwave chain, low-noise PLL for beatnote tracking, temperature compensation, Kalman filtering with IMU fusion.
- Assumptions/dependencies: Acoustic Q ≥ 3000–5000 at room temperature; optical Q ~ 1e5–1e6; pump laser linewidth ≤ 1 kHz; stable coupling/packaging for phononic buses and IDTs; manageable thermal drift; EMC compliance for GHz readout.
- Drop-in saser readout option for existing Brillouin laser gyroscopes
- Sectors: photonic gyroscope manufacturers, navigation R&D labs.
- Tools/products/workflows: Add phononic bus waveguide and IDTs to current designs to access acoustic beatnote; firmware to select best of optical or acoustic readout; pump-noise partitioning model for tuning κ_opt/κ_aco.
- Assumptions/dependencies: Phase matching maintained after adding phononic port; minimal added optical loss; reliable impedance matching of IDTs around ~9 GHz.
- Short-term GNSS outage bridging in PNT stacks
- Sectors: logistics robots, drones, smart agriculture, surveying instruments.
- Tools/products/workflows: Sensor fusion pipelines tuned to saser gyro noise PSD; warm-start calibration and bias tracking; watchdog for GNSS-denied mode.
- Assumptions/dependencies: ARW in the 0.1–0.5 deg/√h range suffices for targeted outage durations; low-bias drift electronics; thermal stabilization or compensation tables.
- Low-noise RF/microwave beatnote sources and discriminators
- Sectors: RF test and measurement, timing modules, microwave photonics.
- Tools/products/workflows: Use saser beatnote as low-phase-noise microwave reference; frequency-to-voltage discriminators; digital phase trackers.
- Assumptions/dependencies: Sufficient pump noise suppression via κ-contrast; low-RIN laser; clean single-mode operation without spurious acoustic modes.
- Precision rotation monitoring for stages and platforms
- Sectors: semiconductor lithography/inspection, precision machining, beam steering.
- Tools/products/workflows: Compact saser gyro heads with electrical readout; vibration isolation; factory calibration routines; health monitoring of tooling rotation drift.
- Assumptions/dependencies: Environmental isolation against acoustic/electrical cross-talk; repeatable mounting; linear dynamic range preserved for platform rates.
- Academic platforms for phononic Sagnac physics and active phononic ICs
- Sectors: academia, government labs.
- Tools/products/workflows: Zhengfu-architecture LNOS chips for studying phonon lasing, Sagnac shifts in phonons, pump-noise partitioning; co-simulation toolchains (EM + elastodynamics + nonlinear opto-acoustics).
- Assumptions/dependencies: Access to LNOS foundry/PDK; on-wafer IDT characterization; calibrated thermometry for n_th(T) studies.
- Educational kits demonstrating Sagnac effect with optical vs acoustic readout
- Sectors: education and outreach.
- Tools/products/workflows: Benchtop rotation stages; dual readout scope/DAQ; teaching modules on κ-engineering and sensitivity trade-offs.
- Assumptions/dependencies: Robust packaging for classroom environments; simplified alignment procedures.
Long-Term Applications
The following applications will benefit from further research, scaling, and engineering, including higher Qaco, improved bias stability, multi-ring arrays, and tighter co-integration with electronics.
- Navigation-grade chip gyroscopes for aerospace and defense
- Sectors: avionics, space (CubeSats), defense navigation.
- Tools/products/workflows: Larger-radius rings or slower acoustic modes for higher Sagnac shift; multi-ring arrays for averaging; closed-loop operation, bias control, environmental hardening.
- Assumptions/dependencies: ARW < 0.01 deg/√h target; further Qaco increases (>1e4), ultra-stable packaging, temperature control or athermal designs; radiation tolerance for space.
- Fully integrated IMUs with saser gyros and on-chip accelerometers
- Sectors: consumer electronics, autonomous vehicles, robotics.
- Tools/products/workflows: Heterogeneous integration of LN photonics/phononics with MEMS/NEMS accelerometers and CMOS readout; unified calibration and self-test; edge AI for drift compensation.
- Assumptions/dependencies: Foundry PDKs supporting photonic–phononic–CMOS co-integration; low-power pump lasers; system-level EMI/EMC management.
- Quantum microwave–optical transduction leveraging Brillouin saser
- Sectors: quantum networking, superconducting quantum computing interfaces.
- Tools/products/workflows: IDT–phonon–photon coherent interfaces; cryogenic operation to suppress n_th; impedance-engineered cavities for high cooperativity.
- Assumptions/dependencies: Cryo-compatible LNOS with high Qaco; ultra-low added noise gain; near-unity conversion efficiency; integration with qubit packaging.
- Programmable phononic RF signal processors with Brillouin gain
- Sectors: 5G/6G radios, radar, EW, software-defined radios.
- Tools/products/workflows: Acoustic-domain filters, amplifiers, delay lines, and mixers using SBS gain; tunable phononic waveguides; co-designed microwave–phononic front-ends.
- Assumptions/dependencies: Low-loss, reconfigurable phononic circuits; linearity and power handling at system-level RF powers; thermal management of gain elements.
- Rotational seismology and geophysical instrumentation
- Sectors: earthquake monitoring, structural health, energy infrastructure.
- Tools/products/workflows: Arrays of saser gyros for rotational ground motion sensing; distributed sensor networks; long-term drift compensation and self-calibration.
- Assumptions/dependencies: Environmental hardening; stable long-term bias; low power for remote deployments.
- High-precision guidance and autonomy in GPS-denied environments
- Sectors: subterranean/indoor robotics, defense missions, maritime navigation.
- Tools/products/workflows: Multi-sensor fusion (lidar/vision/IMU) pipelines optimized for saser gyro noise; SLAM frameworks with gyro priors; robust localization under RF jamming.
- Assumptions/dependencies: Further ARW and bias improvements; software certification for safety-critical autonomy.
- Smartphone-grade inertial sensors with improved orientation tracking
- Sectors: consumer electronics, AR glasses.
- Tools/products/workflows: Ultra-compact LNOS die; wafer-scale IDT fabrication; integrated pump diodes; low-power DSP for phase tracking.
- Assumptions/dependencies: Cost/yield parity with MEMS; sub-100 mW operation; robust packaging against drops/temperature cycles.
- Spaceborne and planetary exploration rotation sensing
- Sectors: space science, planetary rovers/landers.
- Tools/products/workflows: Radiation-hardened saser gyro modules; thermal-vacuum qualified packaging; redundancy and fault detection.
- Assumptions/dependencies: Radiation-tolerant materials and processes; extended temperature operation; long-duration stability without recalibration.
Glossary
- Acoustic quality factor: A dimensionless measure of how slowly energy decays in an acoustic mode; higher values indicate lower loss and narrower linewidth. "With experimental feasible parameter with optical and acoustic quality factors of and $5000$, respectively, sasers show significantly suppressed thermal and frequency noises"
- Angle Random Walk (ARW): A metric of short-term gyroscope sensitivity representing random drift, typically expressed in degrees per square root hour. "We predict an angle random walk $\sim 0.1\,\mathrm{deg/\sqrt{h}$ by saser gyroscope"
- Backward Brillouin scattering: A nonlinear optical process where light scatters into a backward-propagating Stokes wave via coupling to an acoustic phonon. "the microring supports coherent phonon-photon coupling when the phase-matching condition of backward Brillouin scattering is satisfied"
- Beatnote: The frequency difference signal produced by interfering two oscillations (e.g., CW and CCW modes). "previous Brillouin gyroscopes exclusively detect the optical beatnote"
- Brillouin gain: Amplification provided by stimulated Brillouin interaction, enabling lasing/sasing in resonators. "active phononic integrated circuits with Brillouin gain, opening avenues in inertial sensing, quantum transduction, and RF signal processing"
- Brillouin laser gyroscope: A gyroscope leveraging Brillouin lasing in optical cavities to sense rotation via the Sagnac effect. "Brillouin laser gyroscopes have been proposed and demonstrated by leveraging ultra-narrow-linewidth Brillouin laser oscillations"
- Cooperativity: A dimensionless parameter quantifying coupling strength relative to losses in interacting modes. "C=N_\mathrm{pump}g2_0/\kappa_\mathrm{opt}\kappa_\mathrm{aco} is the photon-phonon coupling cooperativity stimulated by the intracavity pump photon number "
- Counter-propagating: Refers to waves traveling in opposite directions within a cavity or waveguide. "Two counter-propagating optical beams are injected into the cavity to generate Brillouin sasers"
- Critical coupling: A condition where internal and external losses are matched, maximizing energy transfer into a resonator. "assuming both acoustic and optical modes are critically coupled"
- CW/CCW: Abbreviations for clockwise and counter-clockwise propagation directions in a ring resonator. "Under rotation, the clockwise (CW, red arrow) and counter-clockwise (CCW, blue arrow) waves experience different round-trip path lengths"
- Interdigital transducer (IDT): A patterned electrode that converts between acoustic waves and electrical (microwave) signals via piezoelectricity. "converted into microwave signals using an interdigital transducer (IDT)"
- Intracavity: Pertaining to quantities (e.g., photon/phonon numbers) inside a resonator cavity. "cooperativity stimulated by the intracavity pump photon number "
- Langevin equations: Stochastic differential equations used to model noise and damping in dynamical systems. "noise dynamics can be well described by linearized Langevin equations"
- Lithium niobate on sapphire (LNOS): A crystalline thin-film platform enabling low-loss photonic and phononic modes and efficient piezoelectric transduction. "acoustic waves at gigahertz frequencies can now be tightly confined and guided in crystalline thin-film platforms such as lithium niobate on sapphire"
- Microring cavity: A ring-shaped optical resonator that supports circulating modes used for enhanced light-matter interactions. "Figure~\ref{Fig1}(a) sketches the Brillouin microring cavity"
- Mode pulling effect: Redistribution of oscillator frequency/noise due to coupling, causing output to be influenced by relative decay rates. "Due to the mode pulling effect, the pump phase is distributed into to modes according to the relative modal decay rate"
- Opto-acoustic interaction: Coupling between optical and acoustic waves enabling energy exchange (e.g., via Brillouin processes). "On-chip Brillouin laser gyroscopes harnessing opto-acoustic interaction are an emerging approach to detect rotation"
- Phase-matching condition: A requirement that interacting waves have matched momentum for efficient nonlinear coupling. "supports coherent phonon-photon coupling when the phase-matching condition of backward Brillouin scattering is satisfied"
- Phononic integrated circuits: Chip-scale systems that generate, guide, and manipulate acoustic (phonon) waves. "Recent breakthroughs in phononic integrated circuits have fundamentally changed this landscape"
- Piezoelectric properties: Material characteristics enabling conversion between mechanical strain (acoustic waves) and electrical signals. "the excellent piezoelectric properties of lithium niobate enable highly efficient bidirectional conversion between acoustic waves and microwave signals"
- Pump linewidth: The spectral width of the pump laser, reflecting its frequency noise. "Pump linewidth is fixed at 1 kHz"
- Pump transferred noise: Frequency noise originating from the pump that is transferred to output modes through nonlinear interaction. "(c) Pump transferred noise characteristics showing linewidth dependence on pump noise for saser and laser regimes"
- Sagnac effect: Rotation-induced phase/frequency shift between counter-propagating waves in a loop, central to gyroscopes. "According to Sagnac effect, frequency shift of optical (acoustic) cavity mode is written as"
- Saser: Sound amplification by stimulated emission; the acoustic analog of a laser. "leaving the simultaneously generated saser (sound amplification by stimulated emission) undetected due to the lack of capability to access the acoustic output"
- Three-wave mixing: A nonlinear interaction where three waves exchange energy under phase matching (e.g., pump, Stokes, and acoustic). "The backward Brillouin interaction is a three-wave mixing process"
- Zhengfu architecture: A suspension-free chip design (LNOS-based) enabling high-Q photonic and phononic modes with scalable electrical access. "The chip platform is based on a ``Zhengfu" architecture using thin-film lithium niobate on sapphire (LNOS) platform"
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