Reconfigurable geometric metasurfaces with optically tunable materials
US-2021028547-A1 · Jan 28, 2021 · US
US12007529B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-12007529-B2 |
| Application number | US-202017605382-A |
| Country | US |
| Kind code | B2 |
| Filing date | Apr 20, 2020 |
| Priority date | May 3, 2019 |
| Publication date | Jun 11, 2024 |
| Grant date | Jun 11, 2024 |
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A multilayer metalens includes a substrate having first, second, and third axes that are perpendicular to each other. A first layer of antennas is arranged, relative to the third axis, on the substrate. Each antenna of the first layer of antennas is rotated relative to the first and second axes based on a position of each antenna of the first layer of antennas along the first and second axes. A second layer of antennas is arranged, in the third axis, on the first layer of antennas. Each antenna of the second layer of antennas is rotated relative to the first and second axes based on a position of each antenna of the second layer of antennas along the first and second axes. Each antenna in the first and second layers of antennas has, in a plane parallel to a top of the substrate an elongated shape. Each antenna in the first layer of antennas has a different rotation relative to the first and second axes than an antenna in the second layer of antennas that is located, relative to the third axis, adjacent to the respective antenna in the first layer of antennas.
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What is claimed is: 1. A multilayer metalens, comprising: a substrate having first (x), second (y), and third (z) axes that are perpendicular to each other; a first layer of antennas arranged, relative to the third axis (z), on the substrate, wherein a longitudinal first axis of each antenna of the first layer of antennas is rotated relative to the first (x) and second (y) axes based on a position of each antenna of the first layer of antennas along the first (x) and second (y) axes; and a second layer of antennas arranged, in the third axis (z), on the first layer of antennas, wherein a longitudinal second axis of each antenna of the second layer of antennas is rotated relative to the first (x) and second (y) axes based on a position of each antenna of the second layer of antennas along the first (x) and second (y) axes, wherein each antenna in the first and second layers of antennas has, in a plane parallel to a top of the substrate, an elongated shape, and wherein the longitudinal first axis of each antenna in the first layer of antennas has a different rotation relative to the first (x) and second (y) axes than the longitudinal second axis of an antenna in the second layer of antennas that is located, relative to the third axis (z), adjacent to the respective antenna in the first layer of antennas. 2. The multilayer metalens of claim 1 , wherein the elongated shape of each antenna in the first and second layers of antennas is elliptical or rectangular. 3. The multilayer metalens of claim 1 , wherein a first rotation angle of the longitudinal first axis of each antenna in the first layer of antennas depends on ( 1 ) a wavelength of light to be focused by the multilayer metalens, ( 2 ) first and second focal lengths of the multilayer metalens, and ( 3 ) a position of the antenna in the first layer of antennas relative to the first and second axes, and a second rotation angle of the longitudinal second axis of each antenna in the second layer of antennas depends on ( 1 ) the wavelength of the light, ( 2 ) the first and second focal lengths, and ( 3 ) a position of the antenna in the second layer of antennas relative to the first and second axes. 4. The multilayer metalens of claim 1 , wherein the elongated shape of each antenna in the second layer of antennas is configured so that an absolute value of complex transmission coefficients for linear polarization along an ordinary axis and an absolute value of complex transmission coefficients for linear polarization along an extraordinary axis are equal; and a phase difference of the complex transmission coefficients for linear polarization along the ordinary axis and the absolute value of complex transmission coefficients for linear polarization along the extraordinary axis are equal to Pi (x). 5. The multilayer metalens of claim 1 , wherein the multilayer metalens produces two focal points. 6. The multilayer metalens of claim 5 , wherein an intensity and position of the two focal points are independently controllable with no crosstalk. 7. The multilayer metalens of claim 1 , further comprising: a third layer of antennas arranged, relative to the third axis, on the second layer of antennas, wherein a longitudinal third axis of each antenna of the third layer of antennas is rotated relative to first and second axes based on a position of each antenna along the first and second axes, wherein each antenna in the third layer of antennas has, in the plane parallel to a top of the substrate, an elongated shape, and wherein the longitudinal third axis of each antenna in the third layer of antennas has a different rotation relative to the first and second axes than the longitudinal second axis of an antenna in the second layer of antennas and the longitudinal first axis of an antenna in the first layer of antenna that is located, relative to the third axis, below the respective antenna in the third layer of antennas. 8. The multilayer metalens of claim 1 , wherein each antenna of the first and second layers of antennas comprise titanium dioxide. 9. The multilayer metalens of claim 8 , wherein the first and second layers of antennas are encased in a transparent material. 10. The multilayer metalens of claim 9 , wherein the transparent material is silicon dioxide. 11. The multilayer metalens of claim 1 , wherein the rotation of each antenna of the first and second layers of antennas is defined by θ 1 = - 2 π 2 λ ( F 1 - x 1 2 + y 1 2 + F 1 2 ) - 2 π 2 λ ( F 2 - x 2 2 + y 2 2 + F 2 2 ) θ 2 = - 2 π
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