Fullwave Maxwell inverse design of axisymmetric, tunable, and multi-scale multi-wavelength metalenses

Rasmus E. Christiansen; Zin Lin; Charles Roques Carmes; Yannick Salamin; Steven E. Kooi; John D. Joannopoulos; Marin Soljačić; Steven G. Johnson

doi:10.1364/OE.403192

Fullwave Maxwell inverse design of axisymmetric, tunable, and multi-scale multi-wavelength metalenses

Rasmus E. Christiansen^*, Zin Lin, Charles Roques Carmes, Yannick Salamin, Steven E. Kooi, John D. Joannopoulos, Marin Soljačić, Steven G. Johnson

^*Corresponding author for this work

NanoPhoton – Center for Nanophotonics

Massachusetts Institute of Technology

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Abstract

We demonstrate new axisymmetric inverse-design techniques that can solve problems radically different from traditional lenses, including reconfigurable lenses (that shift a multi-frequency focal spot in response to refractive-index changes) and widely separated multi-wavelength lenses ( λ= 1 μm and 10μm). We also present experimental validation for an axisymmetric inverse-designed monochrome lens in the near-infrared fabricated via two-photon polymerization. Axisymmetry allows fullwave Maxwell solvers to be scaled up to structures hundreds or even thousands of wavelengths in diameter before requiring domain-decomposition approximations, while multilayer topology optimization with ∼ 10⁵ degrees of freedom can tackle challenging design problems even when restricted to axisymmetric structures.

Original language	English
Journal	Optics Express
Volume	28
Issue number	23
Pages (from-to)	33854-33868
ISSN	1094-4087
DOIs	https://doi.org/10.1364/OE.403192
Publication status	Published - 2020

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title = "Fullwave Maxwell inverse design of axisymmetric, tunable, and multi-scale multi-wavelength metalenses",

abstract = "We demonstrate new axisymmetric inverse-design techniques that can solve problems radically different from traditional lenses, including reconfigurable lenses (that shift a multi-frequency focal spot in response to refractive-index changes) and widely separated multi-wavelength lenses ( λ= 1 μm and 10μm). We also present experimental validation for an axisymmetric inverse-designed monochrome lens in the near-infrared fabricated via two-photon polymerization. Axisymmetry allows fullwave Maxwell solvers to be scaled up to structures hundreds or even thousands of wavelengths in diameter before requiring domain-decomposition approximations, while multilayer topology optimization with ∼ 105 degrees of freedom can tackle challenging design problems even when restricted to axisymmetric structures.",

author = "Christiansen, {Rasmus E.} and Zin Lin and {Roques Carmes}, Charles and Yannick Salamin and Kooi, {Steven E.} and Joannopoulos, {John D.} and Marin Solja{\v c}i{\'c} and Johnson, {Steven G.}",

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year = "2020",

doi = "10.1364/OE.403192",

language = "English",

volume = "28",

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T1 - Fullwave Maxwell inverse design of axisymmetric, tunable, and multi-scale multi-wavelength metalenses

AU - Christiansen, Rasmus E.

AU - Lin, Zin

AU - Roques Carmes, Charles

AU - Salamin, Yannick

AU - Kooi, Steven E.

AU - Joannopoulos, John D.

AU - Soljačić, Marin

AU - Johnson, Steven G.

PY - 2020

Y1 - 2020

N2 - We demonstrate new axisymmetric inverse-design techniques that can solve problems radically different from traditional lenses, including reconfigurable lenses (that shift a multi-frequency focal spot in response to refractive-index changes) and widely separated multi-wavelength lenses ( λ= 1 μm and 10μm). We also present experimental validation for an axisymmetric inverse-designed monochrome lens in the near-infrared fabricated via two-photon polymerization. Axisymmetry allows fullwave Maxwell solvers to be scaled up to structures hundreds or even thousands of wavelengths in diameter before requiring domain-decomposition approximations, while multilayer topology optimization with ∼ 105 degrees of freedom can tackle challenging design problems even when restricted to axisymmetric structures.

AB - We demonstrate new axisymmetric inverse-design techniques that can solve problems radically different from traditional lenses, including reconfigurable lenses (that shift a multi-frequency focal spot in response to refractive-index changes) and widely separated multi-wavelength lenses ( λ= 1 μm and 10μm). We also present experimental validation for an axisymmetric inverse-designed monochrome lens in the near-infrared fabricated via two-photon polymerization. Axisymmetry allows fullwave Maxwell solvers to be scaled up to structures hundreds or even thousands of wavelengths in diameter before requiring domain-decomposition approximations, while multilayer topology optimization with ∼ 105 degrees of freedom can tackle challenging design problems even when restricted to axisymmetric structures.

U2 - 10.1364/OE.403192

DO - 10.1364/OE.403192

M3 - Journal article

C2 - 33182865

SN - 1094-4087

VL - 28

SP - 33854

EP - 33868

JO - Optics Express

JF - Optics Express

IS - 23

ER -

Fullwave Maxwell inverse design of axisymmetric, tunable, and multi-scale multi-wavelength metalenses

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