A three-dimensional acousto-optic deflector (2510.07633v1)
Abstract: Acousto-optic deflectors (AODs) are widely used across physics, microscopy, neuroscience, and laser engineering, providing fast, precise, and non-mechanical control of light. While conventional AODs naturally support multiplexing in one and two dimensions, no analogous device has existed for three-dimensional control, leaving a critical gap in rapid focus tuning and 3D beam shaping. Here we demonstrate a three-dimensional AOD system capable of multiplexed axial and lateral beam control with high speed and large dynamic range. We achieve this by combining a double-pass AOD with a diffraction grating in the Littrow configuration to realize a compact frequency-tunable lens with multiplexing capability. Our device enables axial scanning over more than twenty Rayleigh ranges with switching rates up to 100 kHz, while simultaneous multi-tone driving produces arbitrary multi-focal beam profiles. By integrating the axial module with lateral deflection, we generate reconfigurable 3D optical patterns. This approach establishes a broadly applicable platform for multiplexed 3D beam control, with potential applications from high-resolution microscopy and laser processing to scalable neutral-atom quantum technologies.
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What is this paper about?
This paper presents a new way to control and move laser light quickly and precisely in all three dimensions (left-right, up-down, and forward-backward) without using any moving parts. The device they built is called a three-dimensional acousto-optic deflector (AOD) system, and it can change where a laser focuses and split it into many spots at once, very fast.
What questions are the researchers trying to answer?
In simple terms, the team asks:
- Can we make a “zoom lens” for a laser that changes focus extremely fast and can control many focus points at the same time?
- Can we combine this with sideways steering to draw or place light in 3D—like building a 3D pattern of bright spots—in real time?
- Can this work well enough to be useful for things like microscopes, laser cutting, and trapping atoms for quantum computers?
How does their system work?
Think of light like a beam from a flashlight. To control it precisely without moving the flashlight, they use sound waves inside a crystal (that’s what an acousto-optic deflector does). Here’s the idea, in everyday terms:
- Acousto-optic deflector (AOD): It uses sound waves to bend light. Changing the sound’s radio frequency (RF)—like tuning to different radio stations—changes how much the light is bent.
- Double-pass with a “cat’s eye” lens: The beam goes forward, hits a special setup (a lens like what’s used in reflective safety signs, sometimes called a “cat’s eye”), then comes back through the same path. This keeps the beam pointed in the same direction but lets the system change how it focuses.
- Diffraction grating in “Littrow configuration”: A grating is like a microscopic staircase mirror that sends light back the way it came when set at just the right angle. This makes the whole setup act like a “focus-tunable lens”: turn the RF frequency, and the focus moves closer or farther—without tilting the beam sideways.
- Multiplexing: By playing multiple RF tones at once (like listening to several radio stations at the same time), the system splits the original laser into many beams that can each have their own focus position. That means multiple focal spots in 3D, all at once.
- Full 3D control: They combine the “focus control” AOD (for forward-backward movement) with two more AODs (for left-right and up-down). Together, the three AODs can place light anywhere in a 3D volume and create patterns like a 3D grid of spots.
Key terms explained:
- “Rayleigh range”: The distance around a focus where the beam stays sharp. Saying “20 Rayleigh ranges” means the system can move the focus across a very large span compared to the size of the focused spot.
- “Switching rate up to 100 kHz”: The focus can jump between positions 100,000 times per second.
- “Needle beams”: Beams shaped so they stay sharp over a longer depth, like a stretched-out focus.
What did they find?
Here are the main results the team demonstrated:
- Large focus-tuning range: They moved the focus over more than twenty Rayleigh ranges. That’s a big forward-backward range while keeping the beam shape stable.
- Fast switching: The focus can jump between positions at rates up to 100 kHz (very fast), with a measured rise time of about 2 microseconds.
- 3D multiplexing: By driving the AODs with multiple RF tones at once, they created complex 3D patterns—like a 5×5×3 array of spots—and even “needle” beams that stay in focus over a longer depth.
- Multi-focal beams: They showed beams with several focus points along the forward-backward direction at once, useful for imaging or trapping things at multiple layers.
- Efficiency and stability: The device’s optical efficiency in the axial module is about 46% at the center of the AOD’s bandwidth. Different tones produce overlapping focal spots with good alignment.
Why this matters:
- It brings the speed and flexibility of AODs (long used for fast sideways scanning) to full 3D control, including fast, precise focus changes and multiple focus points at once.
- It fills a gap: there wasn’t a practical, fast, and multiplexed 3D focus-tuning device before.
What could this be used for?
This technology could have a big impact across several fields:
- Microscopy: Quickly scan through different depths in a sample, or use needle beams to see more layers in focus; helpful for fast 3D imaging of biological tissues.
- Laser processing and manufacturing: Shape light into many focal points or needle beams for faster, more precise cutting, engraving, or material processing, even when surfaces aren’t perfectly flat.
- Quantum technologies: Create and rearrange 3D arrays of “optical tweezers” (tiny laser traps) to hold and move neutral atoms—key building blocks for scalable quantum computers. Fast 3D rearrangement of atoms can speed up how these systems prepare data.
- Atomic and molecular transport: Move trapped atoms or molecules between different places in a vacuum chamber more quickly and smoothly than with slower mechanical lenses.
In short, this paper shows a clever, compact way to steer and focus laser light anywhere in 3D, very fast, and with many points at once. That opens the door to faster microscopes, smarter laser machines, and more capable quantum devices.
Knowledge Gaps
Knowledge gaps, limitations, and open questions
Below is a concise list of unresolved issues and concrete opportunities for further investigation emerging from the paper.
- Quantify wavefront quality and aberrations: No measurement of M², Zernike decomposition, or full 3D point-spread function over the axial tuning range; astigmatism is noted but not corrected or systematically characterized.
- Beam pointing and stability: Long-term drift, pointing jitter at the refocused waist, and thermal sensitivity of the frequency-to-z calibration are not measured; impact of temperature changes in the AOD and mechanical drift in the cat’s eye/grating is unknown.
- Absolute positioning accuracy and repeatability: No closed-loop calibration mapping RF frequency to physical coordinates (x, y, z) with error bars and hysteresis characterization; repeatability over hours/days is not reported.
- Efficiency versus frequency and multiplexing: Overall optical efficiency (including the full 3-AOD chain and spatial filtering) for single-tone and multi-tone operation is not quantified; dependence on number of tones N (beyond the nominal 1/N cross-term penalty) and bandwidth is unmeasured.
- Power scalability and thermal limits: No data on maximum optical power, AOD/grating damage thresholds, thermal lensing in the AOD, or efficiency roll-off under high power/continuous operation.
- Wavelength dependence and chromatic performance: Device is tested at 813 nm only; Littrow angle, grating blaze efficiency, and AOD diffraction efficiency versus wavelength (e.g., 780 nm, 852 nm, 1064 nm) are not characterized; suitability for broadband or ultrafast (pulsed) light and total dispersion of the double-pass plus grating is unexplored.
- Polarization purity across the bandwidth: The double-pass geometry and Faraday/PBS separation are used, but polarization extinction ratio and its frequency dependence (and impact on efficiency and downstream optics) are not reported.
- Interference and beating in multi-tone operation: Time-dependent interference between tones (10–20 MHz in the example) is discussed qualitatively but not measured; impact on atom heating, imaging contrast, or process uniformity needs quantification (power spectral density of intensity noise at trap frequencies).
- Cross-axis multiplexing interactions: When all three AODs are driven with many tones, possible intermodulation products and multi-tone mixing (sum/difference frequencies) that create unwanted intensity modulations are not analyzed or measured.
- Cylindrical focusing during rapid chirps: The predicted beam-shape distortion versus df/dt is not experimentally validated; acceptable scan speeds with <1 z_R beam-shape change for specific applications (e.g., atom transport) are not demonstrated.
- Switching transients and ringing: Beyond 10–90% rise time, overshoot/undershoot, acoustic ringing, and settling behavior after frequency hops are not characterized; residual light leakage during switching (contrast) is not quantified.
- Field-dependent lateral magnification: A slight x/y array distortion with z is observed; no quantitative model, calibration, or implemented optical correction (e.g., additional relay optics) is provided.
- Telecentricity and high-NA compatibility: Performance when coupling into a high-NA objective (e.g., NA ≥ 0.5) is not evaluated; telecentric relays, vignetting, field curvature, and aberration budgets for microscopy/quantum objectives are unaddressed.
- Maximum axial dynamic range: Authors suggest reducing f_CEL to boost range to ~100 z_R, but practical limits (optical clear apertures, angular walk-off, grating size, clipping, tolerance to misalignment) are not analyzed or prototyped.
- Lateral beam displacement across z: The measured residual x/y displacement “within one waist” may be unacceptable for high-NA trapping or machining; scaling with NA and acceptable tolerances are not established.
- Spatial filtering of cross-terms: The downstream aperture requirement and its impact on throughput, depth-of-field, and alignment tolerance are not quantified; leakage of cross-terms versus tone spacing and aperture size is not measured.
- Frequency-to-focus linearity limits: Slight nonlinearity near bandwidth edges is noted; a systematic model (including non-ideal 4-f spacing, thick-lens effects, and grating geometry) and calibration/compensation strategy are absent.
- Grating-induced stray light and feedback: Littrow retroreflection risks back-reflections and parasitic etalons; no assessment of back-reflection to the laser, scattered light management, or use of optical isolators beyond the Faraday rotator is provided.
- RF chain characterization: Amplitude/phase linearity of the RF drivers, spurious tones, and intermodulation distortion with many simultaneous frequencies are not measured; predistortion or adaptive equalization for uniform per-spot intensity is not implemented.
- Synchronization and latency: End-to-end timing latency and synchronization across the three AOD channels (important for coordinated 3D moves) are unreported; AWG-to-optical timing jitter is not characterized.
- Dynamic pattern uniformity: In 3D arrays (spots or needle beams), per-site intensity uniformity, side-lobe levels, and cross-talk versus tone spacing and tone count are not quantified; no algorithmic optimization (e.g., iterative amplitude/phase shaping) is explored.
- Needle-beam metrology: Axial intensity profiles (FWHM, depth of field), side-lobe suppression, and sensitivity to tone spacing and number of tones are not measured; comparison to diffractive or Bessel-beam alternatives is absent.
- Noise and stability for quantum/biological use: Intensity noise spectra at relevant frequencies (1 Hz–1 MHz), pointing noise, and long-term stability under vacuum/temperature cycles are not provided; impact on atom temperature and lifetime remains to be tested.
- Continuous versus step scanning trade-offs: Only step switching up to 100 kHz is demonstrated; continuous high-speed axial sweeps (with measured beam quality during motion) and achievable scan rates under a beam-quality constraint are not experimentally shown.
- Total system footprint and integration: Mechanical footprint, tolerance stack-up, and alignment sensitivity of the cat’s eye and grating are not analyzed; prospects for compact, monolithic, or fiber-coupled implementations are not discussed.
- Safety margins on AOD bandwidth: Operation “slightly exceeding” nominal bandwidth is reported, but robustness, efficiency roll-off, and diffraction quality near/at the limits are not systematically assessed.
- Application-level validation: No in situ demonstrations with trapped atoms, biological samples, or machining targets are provided; application-specific metrics (trap loading yield, heating rates, imaging throughput, machining quality) remain open.
- Calibration and control software: There is no description of automated calibration procedures, lookup tables for frequency-to-3D mapping, real-time linearization, or feedback control strategies to correct drift and nonlinearity.
- Multi-wavelength or multi-species operation: Feasibility of simultaneous operation at multiple wavelengths (e.g., trapping plus imaging beams) and cross-interactions in the grating/AOD chain are not explored.
- Environmental robustness: Performance under vibration, air currents (index fluctuations along the cat’s eye path), and acoustic coupling into the AOD crystal is untested.
- Cost and component availability: Trade-offs among shear vs longitudinal AODs, custom large-aperture Faraday rotators, and high-efficiency gratings (blaze/AR coatings) are not benchmarked for cost, lead time, or manufacturability.
Practical Applications
Immediate Applications
Below are deployable use cases that can be built with commercially available AODs, gratings, drivers, and standard optomechanics, leveraging the paper’s demonstrated 3D acousto‑optic lensing, multi-tone multiplexing, and 100 kHz switching.
- Fast axial add-on for laser scanning microscopes (confocal, two-photon, photoacoustic)
- Sectors: healthcare, life sciences tools, research instrumentation
- What it does: Drop-in axial scanner that replaces mechanical or liquid-crystal varifocal elements to achieve >20 Rayleigh ranges of z-tuning with ≤2 μs rise time and up to 100 kHz plane switching.
- Tools/products/workflows: AOD+Littrow grating axial module; frequency-to-z look-up table; AWG-driven RF with software API; 4-f alignment with existing scan head; optional cylindrical lens to counteract chirp-induced defocus during continuous scanning.
- Assumptions/dependencies: Sufficient laser power to offset ~46% module efficiency at band center and lower efficiency at edges; careful polarization handling (Faraday rotator/PBS); spatial filtering of cross-terms for multi-tone operation; minimal sensitivity to MHz-scale beating (averages out on camera/PMT integration).
- Multiplexed multi-plane imaging and stimulation
- Sectors: neuroscience, optogenetics, bioimaging
- What it does: Simultaneously address multiple axial planes (multi-tone axial drive) for parallel imaging or photostimulation; combine with two lateral AODs for rapid 3D targeting.
- Tools/products/workflows: Multi-tone RF drive with amplitude equalization; calibration of per-tone focus positions; 3D scan scheduler to sequence x–y–z spot delivery.
- Assumptions/dependencies: Power per plane scales ~1/N for N tones; MHz beating typically far above biological response bandwidths; requires optical power headroom and heat management in AODs.
- 3D optical tweezer arrays for neutral-atom platforms
- Sectors: quantum computing, atomic physics research
- What it does: Rapidly reconfigurable 3D atom arrays with axial plane hopping at up to 100 kHz for loading, rearrangement, and transport between planes or to static auxiliary arrays (SLM/lattice/microlens).
- Tools/products/workflows: 3 AOD stack (axial + crossed lateral); AWG for multi-tone waveforms; feedback-controlled rearrangement routines; spatial filter after double-pass to reject cross-terms.
- Assumptions/dependencies: Atom trap frequencies are typically ≪ RF tone separations, so MHz beating minimally heats atoms; per-site power budget must account for 1/N splitting and ~28–46% module efficiency window; beam quality calibration (astigmatism compensation) near the focus.
- Reconfigurable needle-beam generation for extended depth of field
- Sectors: precision manufacturing (laser micromachining, drilling, structuring), microscopy
- What it does: Creates elongated foci by closely spaced axial tones; improves process uniformity on uneven or evolving surfaces; enables variable depth-of-field imaging without mechanical motion.
- Tools/products/workflows: Axial multi-tone drive to set DOF; on-the-fly DOF updates via RF amplitude/frequency control; lateral AODs to raster multiple needle beams in parallel.
- Assumptions/dependencies: Power splits across tones; process windows must tolerate MHz-intensity modulation; material response (thermal, nonlinear) should be verified under multi-tone operation.
- High-speed axial profilometry and confocal metrology heads
- Sectors: semiconductor inspection, industrial QA, metrology
- What it does: Replace mechanical z-stacks with electronic focal sweeps (>20 zR) for faster surface/feature profiling; compatible with confocal pinholes or structured illumination.
- Tools/products/workflows: Frequency-swept or discrete-step z scanning; lock-in detection synchronized to tone schedules; LUT-based calibration of frequency-to-height mapping.
- Assumptions/dependencies: Target materials/detectors should not alias MHz beating; environmental stability for 4-f alignment; sufficient signal-to-noise with reduced optical throughput.
- Rapid focal switching in multi-beam laser processing heads
- Sectors: electronics manufacturing, additive/subtractive micromachining
- What it does: Switch among discrete focal depths at 10–100 kHz to adapt to varying topography or layer thickness; multiplex multiple foci for parallel processing.
- Tools/products/workflows: Precomputed depth setpoints; digital trigger integration with motion stages/galvos; safety interlocks for high-power operation.
- Assumptions/dependencies: Thermal management of AOD and grating; process recipes adapted to reduced transmission and per-spot power.
- Lab-ready axial transport for cold atoms/molecules
- Sectors: AMO physics labs, quantum sensing
- What it does: Replace slow electrowetting/mechanical varifocal optics for optical conveyor or axial shuttling within a vacuum system; discrete jumps or smooth ramps with bounded cylindrical defocus.
- Tools/products/workflows: Motion profiles constrained to keep chirp-induced defocus <1 zR; discrete “jump-and-hold” modes for fastest moves; synchronization with magnetic/optical traps.
- Assumptions/dependencies: Transport distances limited by available z-range; beam quality and astigmatism tuned for trap retention; laser power margin to mitigate efficiency losses.
- Compact 3D beam-shaping modules for OEM integration
- Sectors: photonics components, instrumentation OEMs
- What it does: Package the AOD–Littrow–cat’s-eye axial stage plus crossed AODs as an interchangeable module for 3D scanning and multi-plane focusing.
- Tools/products/workflows: Rugged mounts to minimize drift; factory calibration of frequency–z linearity; SDKs for AWG/RF control; optional temperature stabilization.
- Assumptions/dependencies: Wavelength-specific grating and AOD selection; aperture limits vs required beam size/rise-time trade-offs; EMI/RFI compliance for RF electronics.
Long-Term Applications
These require additional engineering (miniaturization, ruggedization), scaling (power, efficiency), or domain-specific validation.
- Varifocal optics for AR/VR headsets with multi-plane rendering
- Sectors: consumer electronics, displays
- What it could do: High-speed varifocal or multi-plane focus cues to reduce vergence–accommodation conflict; per-pixel or per-region focal control via fast AOD lensing.
- Tools/products/workflows: Microminiaturized AOD and grating assemblies; integration with waveguides; eye-safe power budgets; low-power RF drivers; calibration per wavelength band (RGB/near-IR).
- Assumptions/dependencies: Significant optical and mechanical miniaturization; improved efficiency to meet battery constraints; mitigation of speckle and MHz beating in human-perceived bandwidths.
- Volumetric two-photon and light-sheet microscopy at kHz volume rates
- Sectors: biomedical imaging, neurotechnology
- What it could do: Combine axial AOD lensing with lateral scanning to acquire multi-plane volumes at kHz rates for neural circuit imaging and fast dynamics in 3D.
- Tools/products/workflows: Synchronization with resonant scanners; dispersion management at 920–1064 nm; PMT/GaAsP detectors with appropriate bandwidth; deconvolution pipelines exploiting known multi-tone focal profiles.
- Assumptions/dependencies: Wavelength-optimized AODs and gratings; careful control of pulse front tilt and group-delay dispersion; higher optical power budgets to overcome efficiency and N-tone splits.
- High-throughput, 3D parallel laser lithography/printing
- Sectors: additive manufacturing, microfabrication
- What it could do: Axially multiplexed foci to polymerize multiple layers/voxels simultaneously; reconfigurable needle beams for uniform cure-depth control; 3D raster at high speeds.
- Tools/products/workflows: Photoresist formulations tolerant to MHz intensity modulation; process models for multi-focus exposure; in-line metrology coupled to depth feedback.
- Assumptions/dependencies: Precise dose control with power split across tones; thermal and acoustic stability; industrial-scale lasers to compensate for throughput losses.
- Adaptive 3D structured illumination and depth-selective projection
- Sectors: robotics, machine vision, autonomous systems
- What it could do: Dynamically refocus structured light patterns across depths for robust perception in cluttered scenes; reduce occlusion effects with rapid z-multiplexing.
- Tools/products/workflows: Co-design of projector and sensor timing; depth-aware control loops that switch foci on-the-fly; eye-safety management for outdoor/indoor deployments.
- Assumptions/dependencies: Wavelength/eye-safety constraints; environmental ruggedization; algorithmic fusion with sensor data to exploit rapid z-scans.
- Ophthalmic imaging and laser therapy with electronically tunable depth
- Sectors: medical devices
- What it could do: Fast z-focusing in OCT/confocal retinal imaging; programmable multi-depth treatments with quick refocus to different retinal layers.
- Tools/products/workflows: Medical-grade packaging, safety certifications, and fail-safes; integration with OCT interferometry; clinician UI to select multi-plane protocols.
- Assumptions/dependencies: Clinical validation; wavelength-specific AOD selection (near-IR); quiet operation and EMI compliance in clinical settings.
- Remote laser processing heads with real-time topography tracking
- Sectors: aerospace, automotive, energy
- What it could do: Closed-loop axial control to maintain optimal focus on moving/warped parts; multi-plane drilling/cutting sequences without Z-stage motion.
- Tools/products/workflows: Co-registered 3D sensors; control loops mapping sensor depth to RF frequency; libraries of multi-plane toolpaths.
- Assumptions/dependencies: Robustness to vibrations and temperature drifts; high-power compatibility; improved optics to boost efficiency and avoid cross-term leakage at industrial powers.
- 3D optogenetic stimulation at population scale
- Sectors: neuroscience tools
- What it could do: Multi-plane, multi-spot activation with precise timing using AOD-based 3D beam placement; orders-of-magnitude faster updates than SLM-only approaches.
- Tools/products/workflows: Hybrid SLM (static hologram) + AOD (rapid addressing) architectures; calibration routines for per-spot irradiance; safety constraints on cumulative light dose.
- Assumptions/dependencies: Opsin kinetics vs MHz beating; tissue scattering at operating wavelengths; heat and phototoxicity management.
- Compact, ruggedized 3D AOD modules for fieldable quantum sensors
- Sectors: defense, environmental sensing, navigation
- What it could do: Lightweight 3D beam steering and focusing for atom interferometers or quantum gravimeters needing rapid reconfiguration without moving parts.
- Tools/products/workflows: Shock/vibration-resistant mounts; thermal stabilization; low-SWaP RF drivers; self-calibration on startup.
- Assumptions/dependencies: Environmental hardening; custom AOD materials for chosen wavelengths; long-term drift control.
- Standardization and safety frameworks for multi-tone, high-speed laser systems
- Sectors: policy, standards bodies, industrial safety
- What it could do: Guidance on RF-driven multi-focus lasers (exposure limits with MHz beating, EMI considerations, interlocks for programmable focus depth).
- Tools/products/workflows: Test protocols for intensity modulation spectra; certification pathways for multi-tone medical/industrial instruments.
- Assumptions/dependencies: Cross-sector coordination (IEC/ISO/ANSI); empirical data on biological/material responses to MHz-modulated beams.
Notes on cross-cutting assumptions and dependencies:
- Wavelength portability: Requires selecting AOD crystals and gratings matched to the operating wavelength; Littrow angle and efficiency change with λ.
- Efficiency and power budgeting: ~46% center efficiency (lower at edges) and ~1/N power split for N axial tones; high-power lasers or fewer tones may be necessary.
- Alignment and calibration: True 4-f alignment minimizes aberrations and preserves lateral position; astigmatism correction and per-tone amplitude equalization improve uniformity.
- Speed vs range trade-off: Smaller beam diameters and higher acoustic velocity AODs (e.g., longitudinal-mode TeO2) increase speed (>600 kHz potential) but reduce axial range.
- Beating/interference: Multi-tone beams produce MHz-scale intensity modulation; typically benign for cameras/atoms but must be evaluated for sensitive detectors, nonlinear processes, or human visual exposure.
- Thermal and mechanical stability: Acoustic power induces heating and drift; consider temperature control, rigid mounts, and real-time recalibration.
Glossary
- 4-f configuration: A two-lens relay arrangement that images one plane onto another with lenses separated by the sum of their focal lengths. "The axial scanning module is imaged onto a pair of crossed AODs for x and y tuning using a 3:2 telescope in the 4-f configuration."
- Acousto-optic deflector (AOD): A crystal device that uses sound waves to diffract and steer laser beams electronically. "Acousto-optic deflectors (AODs) are widely used across physics, microscopy, neuroscience, and laser engineering, providing fast, precise, and non-mechanical control of light."
- Acousto-optic lensing: Focusing achieved via acousto-optic effects, typically by driving an AOD with a time-varying (chirped) RF signal. "One of the fastest known focus-tuning methods is acousto-optic lensing, which makes use of the cylindrical focusing produced by an AOD driven with a rapidly chirped RF signal"
- Achromatic doublet: A compound lens designed to minimize chromatic aberration across wavelengths. "Throughout this work we used as our cat's eye lens a 1-inch diameter achromatic doublet (Thorlabs) with a focal length of mm"
- Achromatic lens: A lens corrected to focus multiple wavelengths to the same point, reducing color fringing. "The beam is then re-focused to a spot with another achromatic lens with a focal length ."
- Angular bandwidth: The range of deflection angles over which an AOD efficiently operates. "we selected a commercially available shear-mode AOD with a large angular bandwidth, which is due in part to the lower acoustic velocity (650 m/s) in this mode."
- Arbitrary waveform generator: An instrument that outputs programmable analog signals, such as multi-tone RF drives for AODs. "The multitone RF signals were generated with an arbitrary waveform generator from Spectrum Instrumentation (M4i.6622)."
- Astigmatism: An optical aberration where the beam focuses differently in orthogonal planes, causing asymmetric spots. "although all of the beams suffer from some astigmatism, which causes slight deviation from the ideal symmetric Gaussian beam model used for fitting."
- Axial scanning: Adjusting the focus position along the beam’s propagation (z) axis. "We first demonstrated the performance of the axial scanning module by tuning the focus position of a beam over a large range using a wide-bandwidth AOD."
- Beam waist: The minimum radius of a Gaussian beam at its focus. "We then performed a variance-weighted fit of the dependence of the beam waist on z to an ideal Gaussian beam model"
- Blaze angle: The facet angle of a diffraction grating optimized for a particular wavelength/order. "a blaze angle of from Richardson Gratings."
- Cat's eye lens (CEL): A lens used in a retroreflecting geometry to map angular deflection to lateral displacement in double-pass setups. "Optical setup of axial focus scanning module using a double-pass acousto-optic deflector (AOD) with a cat's eye lens (CEL) and a grating in the Littrow configuration."
- Chirped RF signal: A radio-frequency drive whose frequency changes over time at a set rate. "an AOD driven with a rapidly chirped RF signal"
- Counterpropagating: Traveling in exactly opposite directions along the same line. "its angle, , relative to the incident beam is chosen such that the first-order diffracted beam is exactly counterpropagating with the incident beam (Littrow configuration)."
- Cylindrical focusing: Lens-like focusing in one axis only, producing an elongated or astigmatic spot. "acousto-optic lensing, which makes use of the cylindrical focusing produced by an AOD"
- Diffraction grating: An optical element with periodic grooves that diffract light into discrete orders. "combining a double-pass AOD with a diffraction grating in the Littrow configuration to realize a compact frequency-tunable lens"
- Dioptric power: The inverse of focal length (in diopters), indicating lens strength. "this is equivalent to a minimum achievable focal length (maximum dioptric power) for the AOD lens of mm."
- Faraday rotator: A magneto-optic device that non-reciprocally rotates the polarization of light. "we placed a Faraday rotator before the AOD, which allowed us to align the polarization to maximize efficiency while still separating the input and output beams using a polarizing beam splitter cube."
- Gaussian beam: An ideal laser beam with a Gaussian transverse intensity profile characterized by and . "we perform a variance-weighted fit of the dependence of the beam waist on z to an ideal Gaussian beam model, "
- Geometric centroid: The center computed from the spatial distribution of intensity values. "we define the origin for all images taken in a particular z-plane to be a geometric centroid of the intensity distribution for the central, 100 MHz, focus position."
- Groove spacing: The distance between adjacent grooves on a diffraction grating. "The diffraction grating is a ruled grating with a groove spacing of 1200 mm"
- Half-waveplate: A birefringent plate that rotates linear polarization by twice the angle between the input polarization and its fast axis. "we use a Faraday rotator and a half-waveplate to separate the incoming and outgoing beams at a polarizing beam splitter."
- Littrow angle: The angle to a grating where a chosen diffracted order retroreflects along the incident path. "where is the focal length of the cat's eye lens, is the Littrow angle of the diffraction grating"
- Littrow configuration: Grating orientation where the diffracted first order is retroreflected along the incident path. "a grating in the Littrow configuration."
- Longitudinal mode TeO2 AOD: A tellurium dioxide acousto-optic deflector operating with longitudinal acoustic waves (higher velocity). "Longitudinal mode AODs typically have an acoustic velocity of 4200 m/s"
- Multi-tone radio-frequency (RF) signal: A superposition of multiple RF frequencies used to drive an AOD to create multiple simultaneous beams. "driving the deflector with a multi-tone radio-frequency (RF) signal, which splits an input beam into multiple independently reconfigurable spots."
- Multiplexing: Simultaneously controlling or generating multiple channels/beams via multi-frequency or multi-spot operation. "While conventional AODs naturally support multiplexing in one and two dimensions, no analogous device has existed for three-dimensional control"
- Needle beam: An elongated focus with extended depth of field formed by combining multiple closely spaced focal spots. "x-y, x-z and y-z cuts of a 5-by-5 array of needle beams."
- Neutral-atom quantum technologies: Quantum platforms that use individually trapped neutral atoms for computation or simulation. "with potential applications from high-resolution microscopy and laser processing to scalable neutral-atom quantum technologies."
- Optical lattice: A periodic light-induced potential formed by interfering laser beams, used to trap atoms in an array. "an SLM, optical lattice, or microlens array"
- Optical tweezers: Tightly focused laser beams used to trap and manipulate microscopic particles or single atoms. "Illustration of a 3D array of optical tweezers created with our system, by sending superimposed beams with different defocus and input angles through a focusing lens."
- Polarizing beam splitter: A beam splitter that separates light into orthogonal polarization components. "we use a Faraday rotator and a half-waveplate to separate the incoming and outgoing beams at a polarizing beam splitter."
- Rayleigh range: The distance over which a Gaussian beam’s radius increases by a factor of from its waist. "axial scanning over more than twenty Rayleigh ranges with switching rates up to 100 kHz"
- Refocusing lens: A downstream lens that sets or reimages the beam’s focal position after the AOD module. "Assuming that the AOD is one focal length behind a refocusing lens with focal length "
- Retroreflected: Reflected back along the exact incoming path. "such that the first order diffracted beam is retroreflected along the incoming path."
- Shear-mode AOD: An AOD operating with shear acoustic waves (lower velocity), offering large angular bandwidths. "we selected a commercially available shear-mode AOD with a large angular bandwidth"
- Spatial light modulator (SLM): A programmable device that shapes a wavefront by imposing controlled phase or amplitude patterns. "Multiplexing in both lateral and axial dimensions can be achieved using spatial light modulators by imparting a programmable arbitrary phase to a wavefront"
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