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Can one flat optic control brightness and phase for two polarizations?

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Pairing two kinds of rotated titanium dioxide nanopillars lets a single transparent metasurface imprint completely separate brightness and phase patterns on two opposite polarizations of light.

Source

Multifunctional metasurfaces enabled by simultaneous and independent control of phase and amplitude for orthogonal polarization states

Liu M, Zhu W, Huo P, et al. · Light, science & applications · 2021

doi.org/10.1038/s41377-021-00552-3Read the full paper ↗124 citationscc by

Study at a glance

Design
Other — Analytical Jones-matrix design plus FDTD nanopillar library, then five fabricated TiO2 metasurfaces (MF1-MF5) characterised optically at about 530 nm
N
No sample size; five fabricated metasurface devices each testing one function
Population
Titanium dioxide nanopillar metasurfaces on fused silica
Outcome
Polarization-switched nanoprinting images, cylindrical-lens focal lines and far-field holograms

Structured fields used in claim comparison tables when every cited study has a complete layer.

What they did

The authors split the required non-unitary Jones matrix into the sum of two unitary ones, each realised by a birefringent TiO2 nanopillar, and combined four pillars into a superpixel. Using simulations to choose pillar sizes and rotations, they fabricated five metasurfaces by electron-beam lithography and atomic layer deposition and illuminated them with green laser light in chosen circular or linear polarizations.

What they found

Two devices showed different grayscale portraits or flower images for each of two orthogonal polarizations with low cross-talk. A cylindrical-lens device focused one circular polarization to a line at 0.5 mm and the other to a perpendicular line at 1.0 mm, with measured line widths of 723 and 1252 nm close to theoretical 612 and 1125 nm. Further devices produced separate far-field holograms for x and y polarization and, in one metasurface, four independent images: two near-field prints and two holograms about 5 mm away.

The limits

What it doesn't show

Results are qualitative image demonstrations; efficiencies of the holograms and cross-talk are not reported as numbers in the main text. The authors note differences from simulation caused by limited sampling of the target patterns and fabrication deviations in pillar size and roughness. Only one design wavelength was tested and full-colour operation is proposed rather than demonstrated; elliptical polarization bases require numerical rather than analytical solutions.

Key terms

Geometric (Pancharatnam-Berry) phase
A phase given to circularly polarized light by rotating an anisotropic element, equal to twice the rotation angle.
Propagation phase
Phase accumulated as light travels through a nanopillar, set by its dimensions and so its effective index.
Nanoprinting
Using a metasurface to form a grayscale intensity image directly at its surface.
Complex-amplitude hologram
A hologram that controls both amplitude and phase to reconstruct a target image with better fidelity.
Orthogonal polarization states
Two polarizations with no overlap, such as x and y linear or left and right circular.

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Quiz yourself

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What material were the nanopillars made from?

Common questions

Why are two nanopillars needed per pixel?

Controlling amplitude as well as phase requires a non-unitary Jones matrix, which the authors write as the average of two unitary matrices, each one implemented by one birefringent pillar.

What is different for linear versus circular polarization designs?

Linear polarization needs only propagation phase from pillar dimensions, whereas circular polarization also needs geometric phase from pillar rotation.

Why TiO2 instead of metal?

Dielectric TiO2 works in transmission with low loss at visible wavelengths, avoiding the ohmic losses of plasmonic designs.

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