Microlens Arrays: Difference between revisions
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A [[microlens array]] (MLA) is a planar grid of microscopic refractive elements—typically tens to hundreds of micrometres in diameter—fabricated on a common transparent substrate.<ref name="Paschotta">R. Paschotta, ''RP Photonics Encyclopedia'', article “Microlens Arrays”, accessed 26 April 2025.</ref> Each lenslet focuses or collimates incoming light, enabling compact optical functions that would otherwise require bulky macroscopic optics. MLAs commonly appear in [[Virtual reality|VR]] and [[Augmented reality|AR]] displays, image sensors, illumination systems, and wavefront sensors. | |||
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==Structure and optical parameters== | ==Structure and optical parameters== | ||
A typical array arranges circular or hexagonal lenslets in square- or hexagonal-close packing. Key parameters include: | A typical array arranges circular or hexagonal lenslets in square- or hexagonal-close packing. Key parameters include: | ||
* '''Pitch''' (centre-to-centre spacing, usually 50–300 µm), | * '''Pitch''' (centre-to-centre spacing, usually 50–300 µm), | ||
* '''Diameter''' (often equal to pitch for circular lenses), | * '''Diameter''' (often equal to pitch for circular lenses), | ||
* '''Focal length''' (<math>f</math>≈100 µm–5 mm, depending on design), | * '''Focal length''' (<math>f</math>≈100 µm–5 mm, depending on design), | ||
* '''Numerical aperture''' (dictated by diameter and <math>f</math>), | * '''Numerical aperture''' (dictated by diameter and <math>f</math>), | ||
* '''Fill factor''' (total lens area ÷ array area; | * '''Fill factor''' (total lens area ÷ array area; ≈90 % for hexagonal packing).<ref name="Paschotta"/> | ||
Because lenslets are small, geometric aberrations are negligible, but diffraction and interference effects become significant when features approach the optical wavelength.<ref name="eLight">H. Chang et al., “Waveguide-based augmented-reality displays: perspectives and challenges,” ''eLight'' 3 (3), 2023 | Because lenslets are small, geometric aberrations are negligible, but diffraction and interference effects become significant when features approach the optical wavelength.<ref name="eLight">H. Chang et al., “Waveguide-based augmented-reality displays: perspectives and challenges,” ''eLight'' 3 (3), 2023.</ref> | ||
==Fabrication and materials== | ==Fabrication and materials== | ||
Most MLAs are produced with semiconductor-style micro-fabrication: | Most MLAs are produced with semiconductor-style micro-fabrication: | ||
* '''Photoresist reflow''' – patterning cylindrical posts in photoresist, then melting them to form hemispherical lenses.<ref name="Avantier">Avantier Inc., “Introducing Microlens Arrays,” 2020 | * '''Photoresist reflow''' – patterning cylindrical posts in photoresist, then melting them to form hemispherical lenses.<ref name="Avantier">Avantier Inc., “Introducing Microlens Arrays,” Knowledge Center, 2020.</ref> | ||
* '''Grayscale lithography''' – exposing a resist with spatially varying dose to directly sculpt the lens surface. | * '''Grayscale lithography''' – exposing a resist with spatially varying dose to directly sculpt the lens surface. | ||
* '''Wafer-level glass molding''' – precision pressing of glass into a mould to form hundreds of thousands of lenslets on 150- or 200-mm wafers. | * '''Wafer-level glass molding''' – precision pressing of glass into a mould to form hundreds of thousands of lenslets on 150- or 200-mm wafers. | ||
* '''Two-photon polymerisation''' – direct laser writing of free-form lens shapes with sub-micron accuracy. | * '''Two-photon polymerisation''' – direct laser writing of free-form lens shapes with sub-micron accuracy. | ||
Common substrates include UV-cured polymers (e.g., PMMA, Ormocer), fused silica, and optical-grade polycarbonate. Anti-reflection coatings are often applied to both air- and substrate-side surfaces.<ref name="Avantier"/> | Common substrates include UV-cured polymers (e.g., PMMA, Ormocer), fused silica, and optical-grade polycarbonate. Anti-reflection coatings are often applied to both air- and substrate-side surfaces.<ref name="Avantier"/> | ||
==General optical applications== | ==General optical applications== | ||
* '''Image sensors''' – A one-to-one microlens–pixel arrangement funnels light into each photodiode, raising quantum efficiency and mitigating “dead-space” between pixels.<ref name="DisplayDaily">DisplayDaily, “Emerging Display Technologies for the AR/VR Market,” | * '''Image sensors''' – A one-to-one microlens–pixel arrangement funnels light into each photodiode, raising quantum efficiency and mitigating “dead-space” between pixels.<ref name="DisplayDaily">DisplayDaily, “Emerging Display Technologies for the AR/VR Market,” Nov 2021.</ref> | ||
* '''Beam homogenisers''' – Paired MLAs (a “fly’s-eye” integrator) transform non-uniform laser or LED profiles into flat-top illumination for projectors and lithography.<ref name="Paschotta"/> | * '''Beam homogenisers''' – Paired MLAs (a “fly’s-eye” integrator) transform non-uniform laser or LED profiles into flat-top illumination for projectors and lithography.<ref name="Paschotta"/> | ||
* '''[[Wavefront sensor|Shack–Hartmann wavefront sensing]]''' – Each lens focuses a spot on a camera; spot displacements yield local slope and phase error.<ref name="Avantier"/> | * '''[[Wavefront sensor|Shack–Hartmann wavefront sensing]]''' – Each lens focuses a spot on a camera; spot displacements yield local slope and phase error.<ref name="Avantier"/> | ||
* '''[[Light-field camera|Light-field capture]]''' – An MLA in front of the sensor encodes both spatial and angular radiance, enabling computational refocus and depth extraction.<ref name="NVIDIA">D. Lanman & D. Luebke, “Near-Eye Light-Field Displays,” NVIDIA Research, 2013 | * '''[[Light-field camera|Light-field capture]]''' – An MLA in front of the sensor encodes both spatial and angular radiance, enabling computational refocus and depth extraction.<ref name="NVIDIA">D. Lanman & D. Luebke, “Near-Eye Light-Field Displays,” NVIDIA Research, 2013.</ref> | ||
==Applications in VR and AR== | ==Applications in VR and AR== | ||
===Display brightness and fill factor=== | ===Display brightness and fill factor=== | ||
OLED and LCD micro-displays used in near-eye optics leave dark inter-pixel gaps. Depositing an MLA directly on the colour-filter/top-glass increases pixel aperture ratio, boosting brightness and reducing the “screen-door” effect.<ref name="DisplayDaily"/> | OLED and LCD micro-displays used in near-eye optics leave dark inter-pixel gaps. Depositing an MLA directly on the colour-filter/top-glass increases pixel aperture ratio, boosting brightness and reducing the “screen-door” effect.<ref name="DisplayDaily"/> | ||
===[[Field of view]] (FoV) enhancement=== | ===[[Field of view]] (FoV) enhancement=== | ||
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===Near-eye light-field and focus-cue displays=== | ===Near-eye light-field and focus-cue displays=== | ||
NVIDIA demonstrated a 5-mm-thick 1280 × 720 OLED bonded to a 1.0-mm-pitch MLA (<math>f≈3.3 \text{mm}</math>). The array projects a four-plane light field that lets the eye accommodate naturally, mitigating the vergence–accommodation conflict inherent in stereoscopic HMDs.<ref name="NVIDIA"/> | NVIDIA demonstrated a 5-mm-thick 1280 × 720 OLED bonded to a 1.0-mm-pitch MLA (<math>f≈3.3 \text{mm}</math>). The array projects a four-plane light field that lets the eye accommodate naturally, mitigating the vergence–accommodation conflict inherent in stereoscopic HMDs.<ref name="NVIDIA"/> | ||
===Liquid-crystal varifocal microlens arrays=== | ===Liquid-crystal varifocal microlens arrays=== | ||
Patents by Chinese and Korean manufacturers describe electrically tunable liquid-crystal MLAs inside a [[Head-mounted display]] (HMD). By varying lenslet focal length per video frame, the system optically blurs user-defined regions, simulating depth-of-field and reducing eye strain.<ref name="CNPatent"> | Patents by Chinese and Korean manufacturers describe electrically tunable liquid-crystal MLAs inside a [[Head-mounted display]] (HMD). By varying lenslet focal length per video frame, the system optically blurs user-defined regions, simulating depth-of-field and reducing eye strain.<ref name="CNPatent">CN107942517B, “Head-mounted display device based on liquid-crystal microlens array,” State Intellectual Property Office of China, granted 2022.</ref> | ||
===Eye-tracking and sensing=== | ===Eye-tracking and sensing=== | ||
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==Industry adoption== | ==Industry adoption== | ||
* '''Sony''' uses on-glass MLAs on its 0.7-inch OLED micro-display line for AR | * '''Sony''' uses on-glass MLAs on its 0.7-inch OLED micro-display line for AR EVF modules.<ref name="DisplayDaily"/> | ||
* '''Apple''' patent | * '''Apple''' patent US 2014/0168783 describes combining multiple MLAs with a parallax barrier for a switchable 3-D near-eye display.<ref name="ApplePatent">US20140168783A1, “Electronic device with microlens arrays for providing perspective-corrected imagery,” 2014.</ref> | ||
* '''NVIDIA''' and Stanford University pioneered near-eye light-field HMD prototypes integrating MLAs directly on the display.<ref name="NVIDIA"/> | * '''NVIDIA''' and Stanford University pioneered near-eye light-field HMD prototypes integrating MLAs directly on the display.<ref name="NVIDIA"/> | ||