---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
_id: '21637'
abstract:
- lang: eng
  text: 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 10 µm). 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.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rasmus E.
  full_name: Christiansen, Rasmus E.
  last_name: Christiansen
- first_name: Zin
  full_name: Lin, Zin
  last_name: Lin
- first_name: Charles
  full_name: Roques-Carmes, Charles
  id: e2e68fc9-6505-11ef-a541-eb4e72cc3e82
  last_name: Roques-Carmes
- first_name: Yannick
  full_name: Salamin, Yannick
  last_name: Salamin
- first_name: Steven E.
  full_name: Kooi, Steven E.
  last_name: Kooi
- first_name: John D.
  full_name: Joannopoulos, John D.
  last_name: Joannopoulos
- first_name: Marin
  full_name: Soljačić, Marin
  last_name: Soljačić
- first_name: Steven G.
  full_name: Johnson, Steven G.
  last_name: Johnson
citation:
  ama: Christiansen RE, Lin Z, Roques-Carmes C, et al. Fullwave Maxwell inverse design
    of axisymmetric, tunable, and multi-scale multi-wavelength metalenses. <i>Optics
    Express</i>. 2020;28(23):33854-33868. doi:<a href="https://doi.org/10.1364/oe.403192">10.1364/oe.403192</a>
  apa: Christiansen, R. E., Lin, Z., Roques-Carmes, C., Salamin, Y., Kooi, S. E.,
    Joannopoulos, J. D., … Johnson, S. G. (2020). Fullwave Maxwell inverse design
    of axisymmetric, tunable, and multi-scale multi-wavelength metalenses. <i>Optics
    Express</i>. Optica Publishing Group. <a href="https://doi.org/10.1364/oe.403192">https://doi.org/10.1364/oe.403192</a>
  chicago: Christiansen, Rasmus E., Zin Lin, Charles Roques-Carmes, Yannick Salamin,
    Steven E. Kooi, John D. Joannopoulos, Marin Soljačić, and Steven G. Johnson. “Fullwave
    Maxwell Inverse Design of Axisymmetric, Tunable, and Multi-Scale Multi-Wavelength
    Metalenses.” <i>Optics Express</i>. Optica Publishing Group, 2020. <a href="https://doi.org/10.1364/oe.403192">https://doi.org/10.1364/oe.403192</a>.
  ieee: R. E. Christiansen <i>et al.</i>, “Fullwave Maxwell inverse design of axisymmetric,
    tunable, and multi-scale multi-wavelength metalenses,” <i>Optics Express</i>,
    vol. 28, no. 23. Optica Publishing Group, pp. 33854–33868, 2020.
  ista: Christiansen RE, Lin Z, Roques-Carmes C, Salamin Y, Kooi SE, Joannopoulos
    JD, Soljačić M, Johnson SG. 2020. Fullwave Maxwell inverse design of axisymmetric,
    tunable, and multi-scale multi-wavelength metalenses. Optics Express. 28(23),
    33854–33868.
  mla: Christiansen, Rasmus E., et al. “Fullwave Maxwell Inverse Design of Axisymmetric,
    Tunable, and Multi-Scale Multi-Wavelength Metalenses.” <i>Optics Express</i>,
    vol. 28, no. 23, Optica Publishing Group, 2020, pp. 33854–68, doi:<a href="https://doi.org/10.1364/oe.403192">10.1364/oe.403192</a>.
  short: R.E. Christiansen, Z. Lin, C. Roques-Carmes, Y. Salamin, S.E. Kooi, J.D.
    Joannopoulos, M. Soljačić, S.G. Johnson, Optics Express 28 (2020) 33854–33868.
date_created: 2026-03-30T12:22:48Z
date_published: 2020-10-26T00:00:00Z
date_updated: 2026-04-27T07:08:18Z
day: '26'
ddc:
- '530'
doi: 10.1364/oe.403192
extern: '1'
external_id:
  arxiv:
  - '2007.11661'
  pmid:
  - '33182865'
intvolume: '        28'
issue: '23'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1364/OE.403192
month: '10'
oa: 1
oa_version: Published Version
page: 33854-33868
pmid: 1
publication: Optics Express
publication_identifier:
  issn:
  - 1094-4087
publication_status: published
publisher: Optica Publishing Group
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fullwave Maxwell inverse design of axisymmetric, tunable, and multi-scale multi-wavelength
  metalenses
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 28
year: '2020'
...
