1.Department of Electrical Engineering, Stanford University, Stanford, CA 94305, USA
2.Department of Applied Physics, Stanford University, Stanford, CA 94305, USA
3.Université Clermont Auvergne, Institut Pascal, BP 10448, F-63000 Clermont-Ferrand, France
4.CNRS, UMR 6602, Institut Pascal, F-63177 Aubière, France
Jonathan A. Fan (jonfan@stanford.edu)
纸质出版日期:2019,
网络出版日期:2019-05-29,
收稿日期:2018-12-09,
修回日期:2019-04-30,
录用日期:2019-05-05
Scan QR Code
High-efficiency, large-area, topology-optimized metasurfaces[J]. LSA, 2019,8(3):420-428.
Phan, T. et al. High-efficiency, large-area, topology-optimized metasurfaces. Light: Science & Applications, 8, 420-428 (2019).
High-efficiency, large-area, topology-optimized metasurfaces[J]. LSA, 2019,8(3):420-428. DOI: 10.1038/s41377-019-0159-5.
Phan, T. et al. High-efficiency, large-area, topology-optimized metasurfaces. Light: Science & Applications, 8, 420-428 (2019). DOI: 10.1038/s41377-019-0159-5.
Metasurfaces are ultrathin optical elements that are highly promising for constructing lightweight and compact optical systems. For their practical implementation
it is imperative to maximize the metasurface efficiency. Topology optimization provides a pathway for pushing the limits of metasurface efficiency; however
topology optimization methods have been limited to the design of microscale devices due to the extensive computational resources that are required. We introduce a new strategy for optimizing large-area metasurfaces in a computationally efficient manner. By stitching together individually optimized sections of the metasurface
we can reduce the computational complexity of the optimization from high-polynomial to linear. As a proof of concept
we design and experimentally demonstrate large-area
high-numerical-aperture silicon metasurface lenses with focusing efficiencies exceeding 90%. These concepts can be generalized to the design of multifunctional
broadband diffractive optical devices and will enable the implementation of large-area
high-performance metasurfaces in practical optical systems.
Yu, N. F.&Capasso, F. Flat optics with designer metasurfaces.Nat. Mater.13, 139–150 (2014)..
Pahlevaninezhad, H. et al. Nano-optic endoscope for high-resolution optical coherence tomography in vivo.Nat. Photonics12, 540–547 (2018)..
Chen, K. et al. Moiré nanosphere lithography.ACS Nano9, 6031–6040 (2015)..
Tittl, A. et al. Imaging-based molecular barcoding with pixelated dielectric metasurfaces.Science360, 1105–1109 (2018)..
Silva, A. et al. Performing mathematical operations with metamaterials.Science343, 160–163 (2014)..
Mueller, J. P. B. et al. Metasurface polarization optics: independent phase control of arbitrary orthogonal states of polarization.Phys. Rev. Lett.118, 113901 (2017)..
Iyer, P. P., Pendharkar, M.&Schuller, J. A. Electrically reconfigurable metasurfaces using heterojunction resonators.Adv. Opt. Mater.4, 1582–1588 (2016)..
Ding, F. et al. Broadband high-efficiency half-wave plate: a supercell-based plasmonic metasurface approach.ACS Nano9, 4111–4119 (2015)..
Arbabi, A. et al. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission.Nat. Nanotechnol.10, 937–943 (2015)..
Yang, J.&Fan, J. A. Topology-optimized metasurfaces: impact of initial geometric layout.Opt. Lett.42, 3161–3164 (2017)..
Lalau-Keraly, C. M. et al. Adjoint shape optimization applied to electromagnetic design.Opt. Express21, 21693–21701 (2013)..
Molesky, S. et al. Inverse design in nanophotonics.Nat. Photonics12, 659–670 (2018)..
Frandsen, L. H. et al. Broadband photonic crystal waveguide 60° bend obtained utilizing topology optimization.Opt. Express12, 5916–5921 (2004)..
Borel, P. I. et al. Topology optimization and fabrication of photonic crystal structures.Opt. Express12, 1996–2001 (2004)..
Piggot, A. Y. et al. Inverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer.Nat. Photonics9, 374–377 (2015)..
Xiao, T. P. et al. Diffractive spectral-splitting optical element designed by adjoint-based electromagnetic optimization and fabricated by femtosecond 3D direct laser writing.ACS Photonics3, 886–894 (2016)..
Sell, D. et al. Ultra-high-efficiency anomalous refraction with dielectric metasurfaces.ACS Photonics5, 2402–2407 (2018)..
Sell, D. et al. Periodic dielectric metasurfaces with high-efficiency, multiwavelength functionalities.Adv. Opt. Mater.5, 1700645 (2017)..
Lin, Z. et al. Topology-optimized multilayered metaoptics.Phys. Rev. Appl.9, 044030 (2018)..
Lalanne, P.&Morris, G. M. Highly improved convergence of the coupled-wave method for TM polarization.J. Opt. Soc. Am. A13, 779–784 (1996)..
Hugonin, J. P.,&Lalanne, P. Reticolo Software for Grating Analysis. (Institut d'Optique, 2005).
Knop, K. Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves.J. Opt. Soc. Am.68, 1206–1210 (1978)..
Li, L. F. Use of Fourier series in the analysis of discontinuous periodic structures.J. Opt. Soc. Am. A13, 1870–1876 (1996)..
Coppersmith, D.&Winograd, S. Matrix multiplication via arithmetic progressions.J. Symb. Comput.9, 251–280 (1990)..
Patterson, D. A.&Hennessy, J. L. Computer Organization and Design. 5th edn. (Morgan Kaufmann, Waltham: MK, 2014).
Strehl, K. Aplanatische und fehlerhafte abbildung im fernrohr.Z. für Instrum.15, 362–370 (1895)..
Arbabi, A. et al. Subwavelength-thick lenses with high numerical apertures and large efficiency based on high-contrast transmitarrays.Nat. Commun.6, 7069 (2015)..
Sell, D. et al. Large-angle, multifunctional metagratings based on freeform multimode geometries.Nano Lett.17, 3752–3757 (2017)..
Yang, J. J., Hugonin, J. P.&Lalanne, P. Near-to-far field transformations for radiative and guided waves.ACS Photonics3, 395–402 (2016)..
Chew, W. C.&Weedon, W. H. A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates.Microw. Opt. Technol. Lett.7, 599–604 (1994)..
Chew, W. C., Jin, J. M.&Michielssen, E. Complex coordinate stretching as a generalized absorbing boundary condition.Microw. Opt. Technol. Lett.15, 363–369 (1997)..
Teixeira, F. L.&Chew, W. C. Differential forms, metrics, and the reflectionless absorption of electromagnetic waves.J. Electromagn. Waves Appl.13, 665–686 (1999)..
Edee, K., Granet, G.&Plumey, J. P. Complex coordinate implementation in the curvilinear coordinate method: application to plane-wave diffraction by nonperiodic rough surfaces.J. Opt. Soc. Am. A24, 1097–1102 (2007)..
Stratton, J. A.&Chu, L. J. Diffraction theory of electromagnetic waves.Phys. Rev.56, 99–107 (1939)..
Yang, J. J.&Fan, J. A. Analysis of material selection on dielectric metasurface performance.Opt. Express25, 23899–23909 (2017)..
Sell, D. et al. Visible light metasurfaces based on single-crystal silicon.ACS Photonics3, 1919–1925 (2016)..
Palmer, C.&Loewen, E. Diffraction Grating Handbook. 6th edn. (New York: Newport Corporation, Rochester, 2005).
Yang, J. J., Sell, D.&Fan, J. A. Freeform metagratings based on complex light scattering dynamics for extreme, high efficiency beam steering.Ann. der Phys.530, 1700302 (2018)..
Chung, J. W. et al. Seamless on-wafer integration of Si(100) MOSFETs and GaN HEMTs.IEEE Electron Device Lett.30, 1015–1017 (2009)..
Shrestha, S. et al. Broadband achromatic dielectric metalenses.Light.: Sci. Appl.7, 85 (2018)..
Chen, W. T. et al. A broadband achromatic metalens for focusing and imaging in the visible.Nat. Nanotechnol.13, 220–226 (2018)..
Paniagua-Dominguez, R. et al. A metalens with a near-unity numerical aperture.Nano Lett.18, 2124–2132 (2018)..
0
浏览量
0
Downloads
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621