Dr. Ali Mahdavi

Optics · Photonics · Semiconductors

Physicist working on how light is generated, confined and extracted in semiconductor devices: photonic crystals, plasmonics, micro-LEDs and inverse design. Research at the Max Planck Institute for the Science of Light, then device R&D at ams-OSRAM, Meta and Sanan.

Projects18 publications, patents and projects · newest first

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  1. Sanan Optoelectronics · Xiamen, China · 2026
  2. optical + electricalsimulationepitaxyprocesscharacterizationrequirementsEMITTERS AND INTERCONNECTSLEDs, micro-LEDslasersintegrated optical interconnects
    SchematicOptical and electrical simulation at the centre of the development loop, connected to epitaxy, process and characterization.

    Industrial R&D · 2026

    A simulation and design department for advanced emitters

    Sanan Optoelectronics · Xiamen, China · 2026

    Set up a simulation and design department at Sanan Optoelectronics, starting from zero, for advanced emitters, displays and integrated optical interconnects.

    Established optical and electrical design workflows for LEDs, lasers and optical interconnects, built the technical interfaces between design, epitaxy, process and characterization, and aligned these teams around emitter and display roadmaps.

    Role
    Manager, simulation and design
    Scope
    LEDs, micro-LEDs, lasers and integrated optical interconnects
  3. Meta · Cork, Ireland · 2022–2025
  4. PIXELdevice + opticsWAFER-LEVEL TESTtest vehiclesMODEL ↔ MEASUREMENTdrive currentEQEcalibrated modelsdesign decisions
    SchematicPixel design, wafer-level test vehicles and models calibrated against measurement, in one loop.

    Industrial R&D · 2022–25

    Micro-LED device and optical design for AR displays

    Meta · Cork, Ireland · 2022–2025

    Technical leadership for micro-LED device and optical design in AR display programmes, covering device architecture, optics, process integration and wafer-level test, for red AlInGaP and green and blue InGaN emitters.

    Contributed to a world-record AR micro-LED display through device architecture, inverse design and optimization. Designed wafer-level characterization platforms and test vehicles that sped up decisions and closed the loop between simulation and measurement, and coordinated suppliers and cross-functional teams across the US, Europe and Asia.

    Role
    Team lead, device modelling
    Devices
    red AlInGaP, green and blue InGaN micro-LEDs
  5. CROSS-SECTIONmetasurface design regionsemiconductor, n = 3.0dipole sourcespassivation, TCOmetal reflectorairTOP VIEWpixelated density ρ(x, y)optimized with gradients
    SchematicµLED unit cell as in Fig. 1 of the paper: a semiconductor mesa (n = 3.0) in a metal reflector, separated by passivation (n = 1.5) and a transparent conductive oxide, with a pixelated metasurface design region on top and dipole sources in a plane inside the mesa.

    Contribution · 2023

    Fourier modal method for inverse design of metasurface-enhanced micro-LEDs

    M. F. Schubert, A. M. Hammond

    Optics Express 31(26), 42945–42960 (2023)

    Light extraction from a micro-LED is the average over thousands of mutually incoherent dipole emitters inside a high-index semiconductor. Simulating each of them with FDTD makes gradient-based design impractical. This work uses the Fourier modal method instead, with a vector formulation for fast convergence in structures that contain metal and Brillouin-zone integration to represent isolated dipoles in a periodic cell.

    The method matches FDTD while running about 3 × 10³ times faster per dipole, a projected 2 × 10⁷ for the full source set. Because the solver (FMMAX, written in JAX) is differentiable, a metasurface on the mesa can be optimized directly: extraction at 630 nm rises from 28.4 % for the unoptimized device to 40.1 % with optimized layer thicknesses and 56.2 % with the metasurface.

    Contribution
    The µLED device structure, the unit cell shown in Fig. 1. Not a listed author.
    Unit cell
    1.4 µm pitch; 1 µm mesa, n = 3.0 (AlInGaP); gold reflector
    Result
    LEE 28.4 % → 56.2 % at 630 nm; ~2 × 10⁷ faster than FDTD (projected)
  6. ams-OSRAM · Regensburg, Germany · 2018–2021
  7. LATENTz ~ 𝒩(0, I)CONDITION: TARGET SPECTRUMλRconditional invertible coupling blockssampletrainDESIGNSmany stacks x | R
    SchematicA normalizing flow conditioned on the target reflectance maps samples of a Gaussian latent space to many different stacks that all approximate the target; each is then refined locally.

    Journal article · 2023

    Investigation of inverse design of multilayer thin-films with conditional invertible neural networks

    A. Luce, A. Mahdavi, H. Wankerl, F. Marquardt

    Machine Learning: Science and Technology 4, 015014 (2023)

    Inverse design of a thin-film coating is ill-posed: very different stacks can produce almost the same reflectance spectrum, so a network trained to return a single answer averages between them. A conditional invertible neural network instead learns the full distribution of layer thicknesses given a target spectrum. Sampling its Gaussian latent space returns several distinct candidate designs at once.

    The network was trained on 10⁶ nine-layer Nb₂O₅/SiO₂ stacks with layer thicknesses of 10–200 nm and normal-incidence reflectance from 400 to 700 nm, generated with TMM-Fast. Its proposals serve as starting points for local optimization (downhill simplex or Levenberg–Marquardt). Across 2000 test targets this beats random initialization, and it also returns useful designs for hand-drawn target spectra with no known exact solution.

    Data
    10⁶ simulated stacks, 9 layers, 400–700 nm
    Method
    cINN proposals followed by local refinement
  8. MULTILAYER STACKθincidentr(λ, θ)t(λ, θ)n₁, d₁⋮nN, dNsubstrateBATCHED EVALUATIONwavelength λangle θstacksM = ∏ DjPjDj−1one tensor operation for all λ, θ and stacks
    SchematicReflection and transmission of a planar multilayer follow from the product of layer matrices. TMM-Fast evaluates that product for all wavelengths, angles and stacks in one tensor operation.

    Journal article · 2022

    TMM-Fast, a transfer matrix computation package for multilayer thin-film optimization: tutorial

    A. Luce, A. Mahdavi, F. Marquardt, H. Wankerl

    Journal of the Optical Society of America A 39(6), 1007–1013 (2022)

    The transfer-matrix method gives exact reflection and transmission of planar multilayers, but common implementations loop over wavelengths, angles and stacks one at a time. TMM-Fast evaluates the characteristic matrices of all layers as a single tensor operation across these dimensions, which makes large training sets for machine learning and population-based optimization inexpensive.

    Against the widely used reference implementation it is about 100 times faster on one core, with a further gain from parallel execution across cores: a million nine-layer stacks at 100 wavelengths and 10 angles take roughly 40 minutes on an 8-core machine. A PyTorch version supplies automatic gradients with respect to layer thicknesses and refractive indices, and an OpenAI Gym environment poses layer-by-layer design as a reinforcement-learning task.

    Speed-up
    ~100× on one core (10 stacks × 21 layers, 100 λ × 20 θ)
    Code
    Open source, MIT licence, pip install tmm-fast
  9. CROSS-SECTION, TWO NEIGHBOURING EMITTERSrecesses + cover material = lateral Bragg mirrorcover regionfirst layeractive zonesecond layercarrierThe cover region contacts the first layer and overhangs the active zone; the recesses sit in the overhang.
    SchematicEach emitter is contacted through a cover region wider than its active zone. Vertical recesses in the overhanging edge, together with the cover material between them, act as a lateral Bragg mirror for light travelling sideways.

    Patent · priority 2021 · German grant decided 2026

    Component and optoelectronic device with structures for reducing optical crosstalk

    A. Mahdavi, A. Gomez-Iglesias

    DE 10 2021 129 118 A1 and WO 2023/083687 A1 · OSRAM Opto Semiconductors · priority 9 Nov 2021

    In a dense micro-LED array, light that travels sideways in the layers above the active zone leaks into neighbouring pixels and lowers contrast. Here each emitter's semiconductor body, two semiconductor layers with the active zone between them, is contacted through a cover region (a current-spreading layer, a transparent conductive oxide, or both) that is laterally wider than the active zone.

    The part of the cover region outside the footprint of the active zone carries vertical recesses, arranged as closed or interrupted frames or rings around the emitter. The recesses and the cover material between them form a lateral Bragg mirror, n1d1 = n2d2 = (2k − 1)λ/4, that reflects sideways-travelling light back and also narrows the emission, while the contact above the active zone is unchanged. Arrays sharing one continuous cover region, for example for AR and VR displays, are also claimed.

    Inventors
    A. Mahdavi, A. Gomez-Iglesias
    Simulated
    GaN with air recesses: lateral reflectivity up to about 90 % with only two recesses; narrower far field
    Status
    German national phase: decision to grant, October 2026; pending in China and the US
  10. TOP VIEW OF ONE PIXELactive fins (hexagons) inside a passive fin60°SECTION THROUGH A FINInGaN QWsn-GaN corep-GaN shellgrowth maskn-GaN base plane
    SchematicTop view: concentric hexagonal light-emitting fins with a passive fin around them; neighbouring fin directions differ by 60°. Section: each fin has an n-type core, quantum wells on its tapered top and a p-type shell.

    Patent application · priority 2021 · published 2023

    Optoelectronic semiconductor device and production method

    A. Lex, A. S. Avramescu, A. Mahdavi, N. von Malm, H. König

    WO 2023/030857 A1 · OSRAM Opto Semiconductors · priority 30 Aug 2021, published 9 Mar 2023

    Nanofins are narrow semiconductor walls grown up from a base plane by selective-area growth, with the active quantum wells on the fin. When the InGaN fins of a red micro-LED all run parallel, its far field depends on the azimuthal angle.

    Here each light-emitting fin runs along at least two directions in plan view, as concentric hexagons, triangles or circles, with the fin directions 60° apart and following the GaN crystal planes. The emission becomes independent of azimuth. Passive fins of similar height, grown without the active zone, surround or fill the pattern so that growth, and with it the emission, stays uniform across the pixel.

    Inventors
    A. Lex, A. S. Avramescu, A. Mahdavi, N. von Malm, H. König
    Geometry
    fin length at least 5 × its height, width at most 80 % of the height
  11. agentmulti-pass deep Q-networkdiscrete + continuousmaterial m+ thickness dor stopstack growslayer by layerTMMλRtarget ┄ design —replay memoryreward r = exp(αF)optional thickness penalty
    SchematicThe agent adds one layer per step, choosing a material together with its thickness, or stops. A transfer-matrix simulation returns the spectrum, and its match to the target sets the reward.

    Journal article · 2021

    Parameterized reinforcement learning for optical system optimization

    H. Wankerl, M. L. Stern, A. Mahdavi, C. Eichler, E. W. Lang

    Journal of Physics D: Applied Physics 54, 305104 (2021)

    Designing a multilayer coating mixes discrete choices, which material comes next and when to stop, with continuous ones, how thick each layer is. Here the stack is built layer by layer by a reinforcement-learning agent in a parameterized action space: every discrete material choice carries its own continuous thickness, and a terminate action lets the agent decide the number of layers. A multi-pass deep Q-network learns from transfer-matrix simulations, with an exponentially shaped reward and an optional penalty on total thickness.

    On target reflectance spectra in the visible, the agent reached rewards at least 20 % higher than a discretized baseline with a fifth of the simulation calls. For a reflector at 445–455 nm over 0–60° it found a 19-layer, 1.31 µm design that outperforms a 34-layer expert reference.

    Result
    19 layers, 1307 nm against a 34-layer reference design
    Also
    NeurIPS 2020 workshop on machine learning for engineering modelling, simulation and design
  12. CROSS-SECTIONsecond doped regionactive region, tops and sidesfirst doped region, steppedsubstratelimit: hemispherical shell
    SchematicThe first doped region is structured into a stepped, tapering body. The active region covers its top and side faces, and the second doped region closes the structure. In the limit the active shell becomes a hemisphere.

    Patent · priority 2021 · granted in Japan and Korea

    Radiation-emitting semiconductor chip and method for producing a radiation-emitting semiconductor chip

    A. Mahdavi, I. Pietzonka, S. Barthel, A. Gomez-Iglesias

    WO 2022/223290 A1 · OSRAM Opto Semiconductors · priority 20 Apr 2021, published 27 Oct 2022

    In a planar LED most of the light generated in the active layer meets the chip surface beyond the critical angle and stays trapped. In a micro-LED, in addition, a large share of the active area lies close to etched mesa edges, where carriers recombine without emitting light.

    Here the first doped region is structured into a stepped, tapering body (a trapezoid, a step pyramid or nearly a hemisphere) by repeated etching or overgrowth. The active region covers its side faces as well as its top, and the second doped region follows. Light is then generated almost perpendicular to the curved outer surface, which reduces total internal reflection, and less of the active region ends at an etched edge. The concept applies to InGaAlP, InGaAlAs and InGaAlN emitters.

    Inventors
    A. Mahdavi, I. Pietzonka, S. Barthel, A. Gomez-Iglesias
    Ideal case
    hemispherical active shell: 69.6 % extraction, against about 14 % for a planar active layer (n = 3, reflecting substrate)
    Status
    granted JP 7688721 B2 (2025) and KR 10-2922400 B1 (2026); pending in China, Germany and the US
  13. CROSS-SECTION OF THE EMITTER ARRAYlight-emitting surfacefunnel-shaped reflecting mesas · one ITO layer with a hexagonal hole lattice spanning all pixels
    SchematicSeparate micro-LEDs in funnel-shaped, reflecting mesas share one transparent conductive layer. A hexagonal lattice of holes etched into this layer forms the photonic crystal.

    Patent · first filed 2019 · granted in the US (2025)

    Optoelectronic device and method for producing thereof

    A. Mahdavi

    US 12,310,150 B2, granted 20 May 2025 (application US 2022/0320376 A1) · OSRAM Opto Semiconductors · first filed 6 Aug 2019

    In a micro-LED array the transparent current-spreading layer on top is shared by all pixels, so it also guides light sideways into the neighbouring pixels. Here a two-dimensional photonic crystal, a hexagonal lattice of holes, is etched into that common layer, between the separate active regions and the light-emitting surface.

    The lateral photonic band gap blocks in-plane propagation and suppresses crosstalk, while the lattice couples trapped and guided modes into the escape cone, which raises extraction and narrows the beam. The layer still spreads current: a 300 nm ITO layer with holes has a lower resistance than a plain 150 nm layer for r/a below 0.33. In the granted claims each active region sits in a funnel-shaped mesa.

    Inventor
    A. Mahdavi (sole inventor)
    Example
    ITO 300 nm thick, hexagonal lattice of holes, pitch 540 nm, radius 178.2 nm
    Effect
    crosstalk to neighbouring pixels from 14 % to 1 %; extraction up to 50 % higher; narrower far field
    Family
    WO 2021/023374 A1, DE 11 2019 007 611 T5 (pending), US 12,310,150 B2
  14. 850 nm VCSELtop DBRoxide aperturecavity, QWsbottom DBRGaAsREFLECTION SPECTRUMstop bandresonanceλRFIELD IN THE RESONATORz|E|²n(z)
    SchematicOxide-aperture VCSEL: AlGaAs Bragg mirrors around a cavity with quantum wells. The transfer-matrix code returns the reflection spectrum with its stop band and resonance, and the standing-wave field over the refractive-index profile.

    Industrial R&D · 2018

    Simulation tools for 850 nm VCSELs and infrared emitters

    ams-OSRAM · Regensburg, Germany · 2018

    The first work at ams-OSRAM was VCSEL design. A transfer-matrix program, written from scratch, computes for a complete 850 nm epitaxial stack the reflection spectrum of the Bragg mirrors, the lasing wavelength from the round-trip phase condition, and the standing-wave field inside the resonator. Graded aluminium profiles are resolved into sub-layers, and a refractive-index library for AlxGa1−xAs, built on the Adachi and Afromowitz models, was checked against ellipsometry.

    The code set thickness tolerances for the passivation and contact layers, showed the effect of the oxide aperture on the mirror, and turned measured reflectivity into a diagnosis of the growth: the shape of the spectrum and the position of the resonance dip in the stop band reveal deviations from the target layers.

    Alongside the optics, carrier transport was modelled in APSYS (Crosslight) together with a thermal model, and ray-tracing models of 850 nm and 940 nm infrared chips were built in Zemax and LightTools. With precisely measured inputs, the LightTools models predicted the out-coupled light without fitted parameters.

    Tools
    own transfer-matrix code (MATLAB); APSYS and PICS3D (Crosslight); Zemax; LightTools
    Devices
    850 nm VCSELs; 850 nm and 940 nm infrared LEDs
  15. Max Planck Institute for the Science of Light · 2013–2018
  16. radially polarized focal spotAnderson-localized modes · Q up to 2 × 10⁵W1 line-defect waveguide in a disordered photonic-crystal slaba
    SchematicTop view of a W1 line-defect waveguide with residual fabrication disorder. A radially polarized focal spot excites the localized modes that form near the cut-off of the guided band.

    Journal article · 2017

    Free space excitation of coupled Anderson-localized modes in photonic crystal waveguides with polarization tailored beam

    A. Mahdavi, P. Roth, J. Xavier, T. K. Paraïso, P. Banzer, F. Vollmer

    Applied Physics Letters 110, 241101 (2017)

    Residual fabrication disorder in a photonic-crystal W1 waveguide turns the slow-light region near the band edge into a chain of randomly formed cavities: Anderson localization. Instead of coupling through an access waveguide, these modes were excited directly from free space with a tightly focused beam of tailored polarization, linear or radial, and the out-of-plane scattering was imaged along the guide.

    Integrating the scattering spectra along the waveguide at the modal cut-off reveals the individual localized cavities and their coupling, with quality factors up to 2 × 10⁵. The dependence on input polarization and position measures how well the focal field overlaps each mode, a route to beam-steered addressing of cavities and to scanning-microscopy sensing.

    Role
    First author
    Result
    Localized modes with Q up to 2 × 10⁵, addressed from free space
  17. TOP VIEWara = 480 nm, r/a = 0.29CROSS-SECTIONSi 220 nmSiO₂ 3 µmSi457 nmPLBANDSΓωflat band at Γ
    SchematicTriangular lattice of air holes in 220 nm silicon on 3 µm buried oxide. Emission couples to flat bands at the Γ point, above the light line and inside the silicon emission band, and leaves the slab vertically.

    Journal article · 2016

    Maximizing photoluminescence extraction in silicon photonic crystal slabs

    A. Mahdavi, G. Sarau, J. Xavier, T. K. Paraïso, S. Christiansen, F. Vollmer

    Scientific Reports 6, 25135 (2016)

    Silicon is an indirect-gap semiconductor. Its band-edge photoluminescence is weak, and most of it is trapped inside the high-index material. In a photonic-crystal slab, emission can couple to flat, low-group-velocity bands at the Γ point that lie above the light line and radiate vertically. Counting these modes inside the emission band, from plane-wave and FDTD band-structure calculations over lattice constant and hole radius, gives a map of where extraction should peak.

    Thirty-six triangular air-hole lattices were written by electron-beam lithography in 220 nm silicon-on-insulator around the predicted optimum and measured by micro-photoluminescence. The best slab (a = 480 nm, r/a = 0.29) emits more than 500 times more light than unpatterned silicon at the 975 nm peak, and over 200 times integrated over the spectrum. Randomly placed holes with the same fill factor reach at most 40 times, which separates the band-structure effect from plain scattering.

    Role
    First and corresponding author
    Result
    > 500× at 975 nm, > 200× spectrally integrated; random holes ≤ 40×
    Structure
    a = 480 nm, r/a = 0.29; 220 nm Si on 3 µm SiO₂
  18. TOP-GATED LIGHT-EMITTING TRANSISTORSDe⁻ →← h⁺ELzone position set by VGAu nanorods in half of the channel (right)Ag gatePMMA / HfOₓDPPT-BTAu source / drainglass
    SchematicTop-gated ambipolar light-emitting transistor. Electrons and holes meet in a narrow recombination zone whose position is set by the gate voltage; gold nanorods cover one half of the channel.

    Journal article · 2016

    On-demand coupling of electrically generated excitons with surface plasmons via voltage-controlled emission zone position

    Y. Zakharko, M. Held, F.-Z. Sadafi, F. Gannott, A. Mahdavi, U. Peschel, R. N. Klupp Taylor, J. Zaumseil

    ACS Photonics 3, 1–7 (2016)

    In an ambipolar light-emitting field-effect transistor, electrons and holes enter from opposite electrodes and recombine in a narrow zone whose position along the channel follows the gate voltage. Gold nanorods, acting as plasmonic nanoantennas, were placed in one half of the channel of a top-gated transistor with the near-infrared polymer DPPT-BT as the emitter.

    Sweeping the gate at constant drain current moves the recombination zone onto or away from the rods and switches the near-field coupling between excitons and plasmons on and off. After correcting for the mode area, electroluminescence is enhanced locally by up to 12 times at 1100 nm for short rods and 47 times at 1350 nm for long rods. Three-dimensional FDTD simulations of the radiative-rate enhancement match the measured spectra, and charge transport is almost unaffected by the rods.

    Result
    Local EL enhancement 12× at 1100 nm and 47× at 1350 nm
    Stack
    glass / Au nanorods / Au source–drain / 15 nm DPPT-BT / PMMA + HfOₓ / Ag gate
  19. POLARIZATION-TAILORED BEAMradialazimuthalhigh-NA objectivephotonic-crystal slab: waveguide or cavity modeoverlap between focal field and mode sets the coupling
    SchematicA normally incident beam with tailored polarization, radial or azimuthal, is focused by a high-NA objective onto the slab. The overlap of the focal field with the mode sets the coupling.

    Conference poster · 2013

    Optimizing the coupling to photonic crystal waveguides and cavities by sculpting a focused light beam

    A. Mahdavi

    Complex Nanophotonics Science Camp, Cumberland Lodge, Windsor, UK, 27–30 August 2013 · book of abstracts, p. 73

    Silicon photonic-crystal slabs with a W1 line defect support guided modes, deliberately designed defect cavities, and random high-Q cavities created by disorder. Reaching them from free space usually requires a tapered fibre brought into the near field of the slab.

    This work instead shapes the polarization distribution inside the diffraction-limited spot of a normally incident, tightly focused beam to match the mode being addressed. The approach is more flexible and more robust when the sample is scanned, and it led to the 2017 study of Anderson-localized modes.

    Role
    Sole author
  20. University of Erlangen-Nürnberg · 2008–2012
  21. INFINITE CHAIN⋯⋯dsingle pinchainλ
    SchematicInfinite periodic chain of metallic nanopins with period d. Near-field coupling between neighbours shifts the collective resonance to longer wavelength than that of a single pin.

    Research paper · 2014

    Coupling-induced red-shifted plasmonic resonances on infinite chains of nanopins

    A. Mahdavi, S. Papantonis, E. Tatartschuk, O. Zhuromskyy, E. Shamonina

    Plasmonic resonances of periodic, infinitely long chains of metallic nanopins, and the red shift of the collective resonance that near-field coupling between neighbouring pins produces relative to an isolated pin.

    Role
    First author
  22. EQUIVALENT RESONATORSsplit ringsplit squarecoupled rods≈≈gap widthfresnarrower gap, lower frequency:surface plasmons coupledacross the gap
    SchematicSplit ring, split square and a pair of coupled rods show equivalent resonances. As the gap narrows, the resonance moves to lower frequency.

    Conference paper · 2011

    Replicating resonance behavior of plasmonic nanoparticles with simpler building blocks

    A. Mahdavi, E. Tatartschuk, O. Zhuromskyy, E. Shamonina

    Proc. SPIE 8096, Plasmonics: Metallic Nanostructures and Their Optical Properties IX, 80963C (2011)

    Metallic nanoparticles with a 10 × 10 nm cross-section, resonant at hundreds of terahertz, were simulated full-wave and their electric-field distributions compared. A pair of coupled rods reproduces the resonant behaviour of split rings and split squares, so a geometrically complex particle can be understood, and replaced, by simpler elements.

    The fall in resonance frequency as the gap narrows, usually attributed to the self-capacitance of the gap, is reinterpreted as surface plasmons coupled across the gap.

    Role
    First author
    Method
    Full-wave electromagnetic simulation (CST Microwave Studio)
  23. Sharif University of Technology · Tehran · 2007
  24. CAPACITOR PLATE+ HV− HV0+ VJfreely suspended MBBA film, h < 1 µmEinEextΩ ∥ Eext × EinPLAN VIEW
    SchematicPlan view. A current through the film (field Ein) and the field of two capacitor plates (Eext) make the film rotate in its own plane, with Ω ∥ Eext × Ein.

    Undergraduate research · published 2012

    Rotational regimes of freely suspended liquid crystal films under electric current in presence of an external electric field

    R. Shirsavar, A. Amjadi, M. R. Ejtehadi, M. R. Mozaffari, M. S. Feiz

    Microfluidics and Nanofluidics 13, 83–89 (2012)

    A liquid film less than a micrometre thick is suspended in a frame between two electrodes and placed between two capacitor plates. When a current flows through the film and an external field is applied perpendicular to it, the film starts to rotate steadily in its own plane. Its sense of rotation is fixed by Eext × Ein. This is the liquid film motor, first reported by the same group in 2008.

    This study used films of the nematic liquid crystal MBBA. As the external field is raised, the electrohydrodynamic vortices driven by the current turn into a single rotation, and the current required to drive the vortices drops sharply. Rotation sets in once the product of external field and film voltage passes a threshold, which was mapped against both.

    The mechanism was explained later (Phys. Rev. E 92, 033002, 2015). The electrodes and the capacitively coupled plates induce free charges over the whole surface of the film, not only at its edges, and the in-plane field acting on this charge distribution exerts the torque.

    Role
    BSc research: laboratory work on the experiment; acknowledged in the paper for technical help and discussions.