Shape optimization for high efficiency metasurfaces: theory and implementation

Paulo Dainese; Louis Marra; Davide Cassara; Ary Portes; Jaewon Oh; Jun Yang; Alfonso Palmieri; Janderson Rocha Rodrigues; Ahmed H. Dorrah; Federico Capasso

doi:10.1038/s41377-024-01629-5

Your Location：

Home >

Browse articles >

Shape optimization for high efficiency metasurfaces: theory and implementation

Original Articles

- Shape optimization for high efficiency metasurfaces: theory and implementation
- Shape optimization for high efficiency metasurfaces: theory and implementation
- LSA 2024年13卷第12期页码：3171-3180
- Affiliations：
  
  1.Corning Research and Development Corporation, 184 Science Center Dr, Painted Post, NY 14870, USA
  2.Harvard John A. Paulson School of Engineering and Applied Sciences, Cambridge, MA 02138, USA
- Author bio：
  
  Paulo Dainese (dainesep@corning.com)
  Federico Capasso (capasso@seas.harvard.edu)
- Funds：
- DOI：10.1038/s41377-024-01629-5
  中图分类号：
- 收稿日期：2024-06-11，
  
  修回日期：2024-09-02，
  
  录用日期：2024-09-04，
  
  网络出版日期：2024-10-29，
  
  纸质出版日期：2024-12-31
- Accepted：
Scan QR Code
Shape optimization for high efficiency metasurfaces: theory and implementation[J]. LSA, 2024,13(12):3171-3180.

Dainese, P. et al. Shape optimization for high efficiency metasurfaces: theory and implementation. Light: Science & Applications, 13, 3171-3180 (2024).
Shape optimization for high efficiency metasurfaces: theory and implementation[J]. LSA, 2024,13(12):3171-3180. DOI： 10.1038/s41377-024-01629-5.

Dainese, P. et al. Shape optimization for high efficiency metasurfaces: theory and implementation. Light: Science & Applications, 13, 3171-3180 (2024). DOI： 10.1038/s41377-024-01629-5.

摘要

Abstract

Complex non-local behavior makes designing high efficiency and multifunctional metasurfaces a significant challenge. While using libraries of meta-atoms provide a simple and fast implementation methodology

pillar to pillar interaction often imposes performance limitations. On the other extreme

inverse design based on topology optimization leverages non-local coupling to achieve high efficiency

but leads to complex and difficult to fabricate structures. In this paper

we demonstrate numerically and experimentally a shape optimization method that enables high efficiency metasurfaces while providing direct control of the structure complexity through a Fourier decomposition of the surface gradient. The proposed method provides a path towards manufacturability of inverse-designed high efficiency metasurfaces.

关键词

Keywords

references

Yu, N. F. & Capasso, F. Flat optics with designer metasurfaces. Nat. Mater. 13 , 139–150 (2014)..

Kildishev, A. V., Boltasseva, A. & Shalaev, V. M. Planar photonics with metasurfaces. Science 339 , 1232009 (2013)..

Arbabi, A., Horie, Y., Bagheri, M. & Faraon, A. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat. Nanotechnol. 10 , 937–943 (2015)..

Kuznetsov, A. I., Miroshnichenko, A. E., Brongersma, M. L., Kivshar, Y. S. & Luk'yanchuk, B. Optically resonant dielectric nanostructures. Science 354 , aag2472 (2016)..

Lalanne, P. & Chavel, P. Metalenses at visible wavelengths: past, present, perspectives. Laser Photonics Rev. 11 , 1600295 (2017)..

Kuznetsov, A. I. et al. Roadmap for optical metasurfaces. ACS Photonics 11 , 816–865 (2024)..

Chen, W. T. et al. A broadband achromatic metalens for focusing and imaging in the visible. Nat. Nanotechnol. 13 , 220–226 (2018)..

Arbabi, E., Kamali, S. M., Arbabi, A. & Faraon, A. Full-stokes imaging polarimetry using dielectric metasurfaces. ACS Photonics 5 , 3132–3140 (2018)..

Rubin, N. A. et al. Matrix fourier optics enables a compact full-stokespolarization camera. Science 365 , eaax1839 (2019)..

Dorrah, A. H. & Capasso, F. Tunable structured light with flat optics. Science 376 , eabi6860 (2022)..

Oh, J. et al. Adjoint-optimized metasurfaces for compact mode-division multiplexing. ACS Photonics 9 , 929–937 (2022)..

Oh, J. et al. Metasurfaces for free-space coupling to multicore fibers. J. Lightwave Technol. 42 , 2385–2396 (2023)..

Chen, M. K. et al. Edge detection with meta-lens: from one dimension to three dimensions. Nanophotonics 10 , 3709–3715 (2021)..

Cordaro, A. et al. Solving integral equations in free space with inverse-designed ultrathin optical metagratings. Nat. Nanotechnol. 18 , 365–372 (2023)..

Jammi, S. et al. Three-dimensional, multi-wavelength beam formation with integrated metasurface optics for sr laser cooling. print at https://doi.org/10.48550/arxiv.2402.08885 https://doi.org/10.48550/arxiv.2402.08885 (2024).

Tseng, M. L. et al. Vacuum ultraviolet nonlinear metalens. Sci. Adv. 8 , eabn5644 (2022)..

Lalanne, P., Hugonin, J. P. & Chavel, P. Optical properties of deep lamellar gratings: a coupled bloch-mode insight. J. Lightwave Technol. 24 , 2442–2449 (2006)..

Sell, D., Yang, J., Doshay, S., Yang, R. & Fan, J. A. Large-angle, multifunctional metagratings based on freeform multimode geometries. Nano Lett. 17 , 3752–3757 (2017)..

Díaz-Rubio, A., Asadchy, V. S., Elsakka, A. & Tretyakov, S. A. From the generalized reflection law to the realization of perfect anomalous reflectors. Sci. Adv. 3 , e1602714 (2017)..

Campbell, S. D. et al. Review of numerical optimization techniques for meta-device design [invited ] . Optical Mater. Express 9 , 1842–1863 (2019)..

Gigli, C. et al. Fundamental limitations of huygens' metasurfaces for optical beam shaping. Laser Photonics Rev. 15 , 2000448 (2021)..

Stork, W., Streibl, N., Haidner, H. & Kipfer, P. Artificial distributed-index media fabricated by zero-order gratings. Opt. Lett. 16 , 1921–1923 (1991)..

Chen, F. T. & Craighead, H. G. Diffractive lens fabricated with mostly zeroth-order gratings. Opt. Lett. 21 , 177–179 (1996)..

Lalanne, P., Astilean, S., Chavel, P., Cambril, E. & Launois, H. Blazed binary subwavelength gratings with efficiencies larger than those of conventional échelette gratings. Opt. Lett. 23 , 1081–1083 (1998)..

Yu, N. F. et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science 334 , 333–337 (2011)..

Whiting, E. B., Campbell, S. D., Kang, L. & Werner, D. H. Meta-atom library generation via an efficient multi-objective shape optimization method. Opt. Express 28 , 24229–24242 (2020)..

Jensen, J. S. & Sigmund, O. Topology op timization for nano-photonics. Laser Photonics Rev. 5 , 308–321 (2011)..

Molesky, S. et al. Inverse design in nanophotonics. Nat. Photonics 12 , 659–670 (2018)..

Chung, H. & Miller, O. D. High-na achromatic metalenses by inverse design. Opt. Express 28 , 6945–6965 (2020)..

Sang, D. et al. Toward high-efficiency ultrahigh numerical aperture freeform metalens: from vector diffraction theory to topology optimization. Laser Photonics Rev. 16 , 2200265 (2022)..

Wang, E. W., Sell, D., Phan, T. & Fan, J. A. Robust design of topology-optimized metasurfaces. Optical Mater. Express 9 , 469–482 (2019)..

Liu, V. & Fan, S. H. Compact bends for multi-mode photonic crystal waveguides with high transmission and suppressed modal crosstalk. Opt. Express 21 , 8069–8075 (2013)..

Lalau-Keraly, C. M., Bhargava, S., Miller, O. D. & Yablonovitch, E. Adjoint shape optimization applied to electromagnetic design. Opt. Express 21 , 21693–21701 (2013)..

Lebbe, N., Dapogny, C., Oudet, E., Hassan, K. & Gliere, A. Robust shape and topology optimization of nanophotonic devices using the level set method. J. Comput. Phys. 395 , 710–746 (2019)..

Mansouree, M., McClung, A., Samudrala, S. & Arbabi, A. Large-scale parametrized metasurface design using adjoint optimization. ACS Photonics 8 , 455–463 (2021)..

Zheng, Y. H. et al. Designing high-efficiency extended depth-of-focus metalens via topology-shape optimization. Nanophotonics 11 , 2967–2975 (2022)..

Skarda, J. et al. Low-overhead distribution strategy for simulation and optimization of large-area metasurfaces. npj Comput. Mater. 8 , 78 (2022)..

Gershnabel, E. et al. Reparameterization approach to gradient-based inverse design of three-dimensional nanophotonic devices. ACS Photonics 10 , 815–823 (2023)..

Zhou, Y., Mao, C., Gershnabel, E., Chen, M. & Fan, J. A. Large-area, high-numerical-aperture, freeform metasurfaces. Laser Photonics Rev. 18 , 2300988 (2024)..

Zhou, Y., Shao, Y., Mao, C. & Fan, J. A. Inverse-designed metasurfaces with facile fabrication parameters. J. Opt. 26 , 055101 (2024)..

Landau, L. D. et al. Electrodynamics of continuous media , 8 (Elsevier, 2013)..

Chu, H. C. et al. Diffuse reflection and reciprocity-protected transmission via a random-flip metasurface. Sci. Adv. 7 , eabj0935 (2021)..

Palmieri, A. et al. Do bilayer metasurfaces behave as a stack of decoupled single-layer metasurfaces? Opt. Express 32 , 8146–8159 (2023)..

Diaz, A. R. & Sigmund, O. A topology optimization method for design of negative permeability metamaterials. Struct. Multidiscip. Optim. 41 , 163–177 (2010)..

Hughes, T. W., Minkov, M., Liu, V., Yu, Z. & Fan, S. A perspective on the pathway toward full wave simulation of large area metalenses. Appl. Phys. Lett. 119 , 150502 (2021)..

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

暂无数据