All dielectric highly efficient achromatic meta-lens using inverse design optimization

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Abstract

This work presents a high-efficiency achromatic meta-lens based on inverse design with topology optimization methodology. The meta-lens design with high numerical aperture values (NA = 0.7, NA = 0.8, and NA = 0.9) optimized along wavelength range starts from 550 to 800 nm, then the direct solver along the full extended wavelength band from 400 to 800 nm that applied to the final optimized structures under the three conditions of the high numerical apertures have high focusing efficiency for the all conditions. The optimization problem is based on Kreisselmeier–Steinhauser (k-s) objective function, leading to approximately stable response over the broadband bandwidths of the three designs.

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Most cited references 25

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We present an adjoint-based optimization for electromagnetic design. It embeds commercial Maxwell solvers within a steepest-descent inverse-design optimization algorithm. The adjoint approach calculates shape derivatives at all points in space, but requires only two "forward" simulations. Geometrical shape parameterization is by the level set method. Our adjoint design optimization is applied to a Silicon photonics Y-junction splitter that had previously been investigated by stochastic methods. Owing to the speed of calculating shape derivatives within the adjoint method, convergence is much faster, within a larger design space. This is an extremely efficient method for the design of complex electromagnetic components.

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Metalenses at visible wavelengths: past, present, perspectives

Philippe Lalanne, Pierre Chavel (2017)

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A broadband achromatic polarization-insensitive metalens consisting of anisotropic nanostructures

Wei Chen, Alexander Zhu, Jared Sisler … (2019)

Metasurfaces have attracted widespread attention due to an increasing demand of compact and wearable optical devices. For many applications, polarization-insensitive metasurfaces are highly desirable, and appear to limit the choice of their constituent elements to isotropic nanostructures. This greatly restricts the number of geometric parameters available in design. Here, we demonstrate a polarization-insensitive metalens using otherwise anisotropic nanofins which offer additional control over the dispersion and phase of the output light. As a result, we can render a metalens achromatic and polarization-insensitive across nearly the entire visible spectrum from wavelength λ = 460 nm to 700 nm, while maintaining diffraction-limited performance. The metalens is comprised of just a single layer of TiO2 nanofins and has a numerical aperture of 0.2 with a diameter of 26.4 µm. The generality of our polarization-insensitive design allows it to be implemented in a plethora of other metasurface devices with applications ranging from imaging to virtual/augmented reality.

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Author and article information

Contributors

Mohamed A. Swillam: m.swillam@aucegypt.edu

Journal

Journal ID (nlm-ta): Sci Rep

Journal ID (iso-abbrev): Sci Rep

Title: Scientific Reports

Publisher: Nature Publishing Group UK (London )

ISSN (Electronic): 2045-2322

Publication date (Electronic): 1 November 2023

Publication date PMC-release: 1 November 2023

Publication date Collection: 2023

Volume: 13

Electronic Location Identifier: 18827

Affiliations

Department of Physics, The American University in Cairo, ( https://ror.org/0176yqn58) New Cairo, 11835 Egypt

Article

Publisher ID: 45231

DOI: 10.1038/s41598-023-45231-y

PMC ID: 10620238

PubMed ID: 37914727

SO-VID: b84d6d19-f73a-4d77-babb-c489b6414b4f

License:

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

History

Date received : 26 July 2023

Date accepted : 17 October 2023

Funding

Funded by: American University in Cairo (AUC)

Open Access :

Open access funding provided by The Science, Technology & Innovation Funding Authority (STDF) in cooperation with The Egyptian Knowledge Bank (EKB).

Custom metadata

ScienceOpen disciplines: Uncategorized

Keywords: optical materials and structures,metamaterials

Data availability:

ScienceOpen disciplines: Uncategorized

Keywords: optical materials and structures, metamaterials

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