Electromagnetic metasurface

Last updated
A liquid-tunable electromagnetic metasurface Metasurface (5941035620).jpg
A liquid-tunable electromagnetic metasurface

An electromagnetic metasurface is an artificially engineered, two-dimensional material designed to control the behavior of electromagnetic waves through arrays of subwavelength features. Unlike bulk metamaterials, which achieve unusual properties through three-dimensional structuring, metasurfaces manipulate waves at an interface by imposing abrupt changes in amplitude, phase, or polarization. Their thin, planar form factor allows them to perform functions traditionally requiring bulky optical components, such as lenses or polarizers, within a single ultrathin layer. [1] [2]

Contents

Metasurfaces are typically constructed from periodic or aperiodic arrangements of resonant elements, such as metallic antennas, dielectric scatterers, or patterned films, that interact with incident waves. Depending on design, they can operate in reflective, transmissive, or absorbing modes, enabling applications in beam steering, wavefront shaping, holography, and dispersion engineering. More advanced designs integrate tunable materials (e.g., liquid crystals, graphene, or phase-change compounds), creating reconfigurable intelligent surfaces that allow dynamic, programmable control of scattering and radiation patterns. [3]

Historically, metasurfaces build on early studies of anomalous diffraction in metallic gratings ( Wood's anomaly , 1902) and the later development of surface plasmon polaritons. The field expanded significantly in the early 2000s with the advent of plasmonic nanostructures and in the 2010s with the demonstration of “flat optics” and planar holograms. Since then, metasurfaces have been developed for a wide range of wavelengths, from radio frequency (RF) and microwave to visible light, enabling research in stealth technology, communications, imaging, and biosensing. [4] [5]

Metasurfaces are widely studied as a versatile platform for electromagnetic and optical engineering. They serve both as tools for exploring generalized laws of reflection and refraction, and as enabling technologies for compact optical systems, radar cross-section reduction, integrated photonics, and bioimaging. Their rapid development has established them as a significant topic in contemporary nanophotonics, antenna research, and materials science. [1] [2] [6]

Definition and categorization

A metasurface is generally defined as an artificially structured, two-dimensional array of subwavelength elements that collectively control the properties of electromagnetic waves at an interface. Because their thickness is negligible compared to the wavelength of operation, metasurfaces can be treated as discontinuities that impose abrupt changes in the amplitude, phase, or polarization of incoming waves. [1] [2]

Although various authors emphasize different aspects, such as arrays of nanoantennas, [6] periodic scattering elements, [7] or ultrathin films with unusual absorption [1] , the unifying concept is that metasurfaces derive their functionality from engineered two-dimensional structures rather than from bulk material composition.

Metasurfaces can be classified in several complementary ways, depending on their mode of interaction, functional intent, or implementation mechanism. These categories often overlap: a single device may be both reflective and reconfigurable, or simultaneously serve beam-steering and polarization-conversion purposes.

By interaction
By functional intent
By mechanism

History

The research of electromagnetic metasurfaces has a long history. Early in 1902, Robert W. Wood found that the reflection spectra of subwavelength metallic grating had dark areas. This unusual phenomenon was named Wood's anomaly and led to the discovery of the surface plasmon polariton (SPP), [12] a particular electromagnetic wave excited at metal surfaces. Subsequently, another important phenomenon, the Levi-Civita relation, [13] was introduced, which states that a subwavelength-thick film can result in a dramatic change in electromagnetic boundary conditions.

Generally speaking, metasurfaces could include some traditional concepts in the microwave spectrum, such as frequency selective surfaces (FSS), impedance sheets, and even Ohmic sheets. In the microwave regime, the thickness of these metasurfaces can be much smaller than the wavelength of operation (for example, 1/1000 of the wavelength) since the skin depth could be minimal for highly conductive metals. Recently, some novel phenomena were demonstrated, such as ultra-broadband coherent perfect absorption. The results showed that a 0.3 nm thick film could absorb all electromagnetic waves across the RF, microwave, and terahertz frequencies. [9] [14] [15]

In optical applications, an anti-reflective coating could also be regarded as a simple metasurface, as first observed by Lord Rayleigh.

In recent years, several new metasurfaces have been developed, including plasmonic metasurfaces, [16] [4] [6] [17] metasurfaces based on geometric phases, [5] [18] metasurfaces based on impedance sheets, [19] [20] and glide-symmetric metasurfaces. [21]


Applications

One of the most important applications of metasurfaces is to control a wavefront of electromagnetic waves by imparting local, gradient phase shifts to the incoming waves, which leads to a generalization of the ancient laws of reflection and refraction. [5] In this way, a metasurface can be used as a planar lens, [22] [23] illumination lens, [24] planar hologram, [10] vortex generator, [25] beam deflector, axicon and so on. [18] [26]

Besides the gradient metasurface lenses, metasurface-based superlenses offer another degree of control of the wavefront by using evanescent waves. With surface plasmons in the ultrathin metallic layers, perfect imaging and super-resolution lithography could be possible, which breaks the common assumption that all optical lens systems are limited by diffraction, a phenomenon called the diffraction limit. [27] [28]

Another promising application is in the field of stealth technology. A target's radar cross-section (RCS) has conventionally been reduced by either radiation-absorbent material (RAM) or by purpose shaping of the targets such that the scattered energy can be redirected away from the source. Unfortunately, RAMs have narrow frequency-band functionality, and purpose shaping limits the aerodynamic performance of the target. Metasurfaces have been synthesized that redirect scattered energy away from the source using either array theory [29] [30] [31] or the generalized Snell's law. [32] [33] This has led to aerodynamically favorable shapes for the targets with reduced RCS.

Metasurface can also be integrated with optical waveguides for controlling guided electromagnetic waves. [34] [35] Applications for meta-waveguides such as integrated waveguide mode converters, [35] structured-light generations, [36] [37] versatile multiplexers, [38] [39] and photonic neural networks [40] can be enabled.

In addition, metasurfaces are also applied in electromagnetic absorbers, polarization converters, polarimeters, and spectrum filters. [41] Metasurface-empowered novel bioimaging and biosensing devices have also emerged and been reported recently. [42] [43] [44] [45] For many optically based bioimaging devices, their bulk footprint and heavy physical weight have limited their usage in clinical settings. [46] [47]

Simulation

Various methods are available for simulating the interaction of electromagnetic waves on metasurfaces, and to enable their design, such as finite-difference time-domain (FDTD), finite-element methods (FEM) and rigorous coupled-wave analysis (RCWA).

For planar optical metasurfaces, prism-based algorithms allow for triangular prismatic space discretization, which is optimal for planar geometries. The prism-based algorithm has fewer elements than conventional tetrahedral methods, bringing higher computational efficiency. [48] A simulation toolkit has been released online, enabling users to efficiently analyze metasurfaces with customized pixel patterns. [49]


Optical characterization

Characterizing metasurfaces in the optical domain requires advanced imaging methods since the involved optical properties often include both phase and polarization properties. Recent works suggest that vectorial ptychography, a recently developed computational imaging method, can be of relevance. It combines the Jones matrix mapping with a microscopic lateral resolution, even on large specimens. [50]

See also

References

  1. 1 2 3 4 Yu, Nanfang; Capasso, Federico (2014). "Flat optics with designer metasurfaces". Nat. Mater. 13 (2): 139–150. Bibcode:2014NatMa..13..139Y. doi:10.1038/nmat3839. PMID   24452357.
  2. 1 2 3 4 Quevedo-Teruel, O.; et al. (2019). "Roadmap on metasurfaces". Journal of Optics. 21 (7): 073002. Bibcode:2019JOpt...21g3002Q. doi: 10.1088/2040-8986/ab161d . hdl: 10016/33235 . S2CID   198449951.
  3. ↑ Di Renzo, Marco; Zappone, Antonio; Debbah, Mér; Alouini, Mohamed-Slim (2020). "Smart radio environments empowered by reconfigurable intelligent surfaces: How it works, state of research, and the road ahead". IEEE Journal on Selected Areas in Communications. 38 (11): 2450–2525. Bibcode:2020IJSAC..38.2450D. doi:10.1109/JSAC.2020.3007211. S2CID   219601556.
  4. 1 2 Zeng, S.; et al. (2015). "Graphene-gold metasurface architectures for ultrasensitive plasmonic biosensing". Advanced Materials. 27 (40): 6163–6169. Bibcode:2015AdM....27.6163Z. doi:10.1002/adma.201501754. hdl: 20.500.12210/45908 . PMID   26349431. S2CID   205261271.
  5. 1 2 3 4 5 Yu, Nanfang; Genevet, Patrice; Mikhail Kats; Aieta, Francesco; Tetienne, Jean-Philippe; Capasso, Federico; Gaburro, Zeno (2011). "Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction". Science. 334 (6054): 333–337. Bibcode:2011Sci...334..333Y. doi: 10.1126/science.1210713 . PMID   21885733. S2CID   10156200.
  6. 1 2 3 4 Kildishev, A. V.; Boltasseva, A.; Shalaev, V. M. (2013). "Planar photonics with metasurfaces". Science. 339 (6125): 1232009. doi:10.1126/science.1232009. PMID   23493714. S2CID   33896271.{{cite journal}}: CS1 maint: article number as page number (link)
  7. ↑ Li, Ping-Chun; Zhao, Yang; Alu, Andrea; Yu, Edward T. (2011). "Experimental realization and modeling of a subwavelength frequency-selective plasmonic metasurface". Appl. Phys. Lett. 99 (3): 221106. Bibcode:2011ApPhL..99c1106B. doi:10.1063/1.3614557.
  8. ↑ Hum, Stephen V.; Pozar, David M. (2014). "Recent advances in reflectarray antennas". Proceedings of the IEEE. 102 (1): 30–45. Bibcode:2014IEEEP.102...30P. doi:10.1109/JPROC.2014.2364977.
  9. 1 2 Pu, M.; et al. (17 January 2012). "Ultrathin broadband nearly perfect absorber with symmetrical coherent illumination". Optics Express. 20 (3): 2246–2259. Bibcode:2012OExpr..20.2246P. doi: 10.1364/oe.20.002246 . PMID   22330464.
  10. 1 2 Ni, X.; Kildishev, A.V.; Shalaev, V.M. (2013). "Metasurface holograms for visible light" (PDF). Nature Communications. 4: 1–6. Bibcode:2013NatCo...4.2807N. doi:10.1038/ncomms3807. S2CID   5550551.
  11. ↑ Di Renzo, Marco; Zappone, Antonio; Debbah, Mér; Alouini, Mohamed-Slim (2020). "Smart radio environments empowered by reconfigurable intelligent surfaces: How it works, state of research, and the road ahead". IEEE Journal on Selected Areas in Communications. 38 (11): 2450–2525. Bibcode:2020IJSAC..38.2450D. doi:10.1109/JSAC.2020.3007211. S2CID   219601556.
  12. ↑ Wood, R. W. (1902). "On a remarkable case of uneven distribution of light in a diffraction grating spectrum". Proc. Phys. Soc. Lond. 18 (1): 269–275. Bibcode:1902PPSL...18..269W. doi:10.1088/1478-7814/18/1/325.
  13. ↑ Senior, T. (1981). "Approximate boundary conditions". IEEE Trans. Antennas Propag. 29 (5): 826–829. Bibcode:1981ITAP...29..826S. doi:10.1109/tap.1981.1142657. hdl: 2027.42/20954 .
  14. ↑ Li, S.; et al. (2015). "Broadband Perfect Absorption of Ultrathin Conductive Films with Coherent Illumination: Super Performance of Electromagnetic Absorption". Physical Review B. 91 (22): 220301. arXiv: 1406.1847 . Bibcode:2015PhRvB..91v0301L. doi:10.1103/PhysRevB.91.220301. S2CID   118609773.{{cite journal}}: CS1 maint: article number as page number (link)
  15. ↑ Taghvaee, H.R.; et al. (2017). "Circuit modeling of graphene absorber in terahertz band". Optics Communications. 383: 11–16. Bibcode:2017OptCo.383...11T. doi:10.1016/j.optcom.2016.08.059.
  16. ↑ Ni, X.; Emani, N. K.; Kildishev, A.V.; Boltasseva, A.; Shalaev, V.M. (2012). "Broadband light bending with plasmonic nanoantennas". Science. 335 (6067): 427. Bibcode:2012Sci...335..427N. doi: 10.1126/science.1214686 . PMID   22194414. S2CID   18790738.
  17. ↑ Verslegers, Lieven; Fan, Shanhui (2009). "Planar Lenses Based on Nanoscale Slit Arrays in a Metallic Film". Nano Lett. 9 (1): 235–238. Bibcode:2009NanoL...9..235V. doi:10.1021/nl802830y. PMID   19053795. S2CID   28741710.
  18. 1 2 Lin, Dianmin; Fan, Pengyu; Hasman, Erez; Brongersma, Mark L. (2014). "Dielectric gradient metasurface optical elements". Science. 345 (6194): 298–302. Bibcode:2014Sci...345..298L. doi:10.1126/science.1253213. PMID   25035488. S2CID   29708554.
  19. ↑ Pfeiffer, Carl; Grbic, Anthony (2013). "Metamaterial Huygens' Surfaces: Tailoring Wave Fronts with Reflectionless Sheets". Phys. Rev. Lett. 110 (2): 197401. arXiv: 1206.0852 . Bibcode:2013PhRvL.110b7401W. doi:10.1103/PhysRevLett.110.027401. PMID   23383937. S2CID   118458038.
  20. ↑ Felbacq, Didier (2015). "Impedance operator description of a metasurface". Mathematical Problems in Engineering. 2015: 473079. arXiv: 1507.07736 . doi: 10.1155/2015/473079 .{{cite journal}}: CS1 maint: article number as page number (link)
  21. ↑ Quevedo-Teruel, Oscar; et al. (2021). "On the benefits of glide symmetries for microwave devices". IEEE Journal of Microwaves. 1: 457–469. doi: 10.1109/JMW.2020.3033847 . S2CID   231619012.
  22. ↑ Aieta, Francesco; Genevet, Patrice; Kats, Mikhail; Yu, Nanfang; Blanchard, Romain; Gaburro, Zeno; Capasso, Federico (2012). "Aberration-free ultra-thin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces". Nano Letters. 12 (9): 4932–6. arXiv: 1207.2194 . Bibcode:2012NanoL..12.4932A. doi:10.1021/nl302516v. PMID   22894542. S2CID   5412108.
  23. ↑ Ni, X.; Ishii, S.; Kildishev, A.V.; Shalaev, V.M. (2013). "Ultra-thin, planar, Babinet-inverted plasmonic metalenses" (PDF). Light: Science & Applications. 2 (4): e72. Bibcode:2013LSA.....2E..72N. doi:10.1038/lsa.2013.28. S2CID   8927737.
  24. ↑ I. Moreno, M. Avendaño-Alejo, and C. P. Castañeda-Almanza, "Nonimaging metaoptics," Opt. Lett. 45, 2744-2747 (2020). https://doi.org/10.1364/OL.391357
  25. ↑ Genevet, Patrice; Yu, Nanfang; Aieta, Francesco; Lin, Jiao; Kats, Mikhail; Blanchard, Romain; Scully, Marlan; Gaburro, Zeno; Capasso, Federico (2012). "Ultra-thin plasmonic optical vortex plate based on phase discontinuities". Applied Physics Letters. 100 (1): 013101. Bibcode:2012ApPhL.100a3101G. doi:10.1063/1.3673334.
  26. ↑ Xu, T.; et al. (2008). "Plasmonic deflector". Opt. Express. 16 (7): 4753–4759. Bibcode:2008OExpr..16.4753X. doi: 10.1364/oe.16.004753 . PMID   18542573.
  27. ↑ Luo, Xiangang; Ishihara, Teruya (2004). "Surface plasmon resonant interference nanolithography technique". Appl. Phys. Lett. 84 (23): 4780. Bibcode:2004ApPhL..84.4780L. doi:10.1063/1.1760221.
  28. ↑ Fang, Nicholas; Lee, Hyesog; Sun, Cheng; Zhang, Xiang (2005). "Sub-Diffraction-Limited Optical Imaging with a Silver Superlens". Science. 308 (5721): 534–7. Bibcode:2005Sci...308..534F. doi:10.1126/science.1108759. PMID   15845849. S2CID   1085807.
  29. ↑ Modi, A. Y.; Alyahya, M. A.; Balanis, C. A.; Birtcher, C. R. (2019). "Metasurface-Based Method for Broadband RCS Reduction of Dihedral Corner Reflectors with Multiple Bounces". IEEE Transactions on Antennas and Propagation. 68 (3): 1. doi:10.1109/TAP.2019.2940494. S2CID   212649480.
  30. ↑ Modi, A. Y.; Balanis, C. A.; Birtcher, C. R.; Shaman, H. (2019). "New Class of RCS-Reduction Metasurfaces Based on Scattering Cancellation Using Array Theory". IEEE Transactions on Antennas and Propagation. 67 (1): 298–308. Bibcode:2019ITAP...67..298M. doi:10.1109/TAP.2018.2878641. S2CID   58670543.
  31. ↑ Modi, A. Y.; Balanis, C. A.; Birtcher, C. R.; Shaman, H. (2017). "Novel Design of Ultrabroadband Radar Cross Section Reduction Surfaces using Artificial Magnetic Conductors". IEEE Transactions on Antennas and Propagation. 65 (10): 5406–5417. Bibcode:2017ITAP...65.5406M. doi:10.1109/TAP.2017.2734069. S2CID   20724998.
  32. ↑ Li, Yongfeng; Zhang, Jieqiu; Qu, Shaobo; Wang, Jiafu; Chen, Hongya; Xu, Zhuo; Zhang, Anxue (2014). "Wideband radar cross section reduction using two-dimensional phase gradient metasurfaces". Applied Physics Letters. 104 (22): 221110. Bibcode:2014ApPhL.104v1110L. doi:10.1063/1.4881935.
  33. ↑ Yu, Nanfang; Genevet, Patrice; Kats, Mikhail A.; Aieta, Francesco; Tetienne, Jean-Philippe; Capasso, Federico; Gaburro, Zeno (October 2011). "Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction". Science. 334 (6054): 333–337. Bibcode:2011Sci...334..333Y. doi: 10.1126/science.1210713 . PMID   21885733. S2CID   10156200.
  34. ↑ Meng, Yuan; Chen, Yizhen; Lu, Longhui; Ding, Yimin; Cusano, Andrea; Fan, Jonathan A.; Hu, Qiaomu; Wang, Kaiyuan; Xie, Zhenwei; Liu, Zhoutian; Yang, Yuanmu (2021-11-22). "Optical meta-waveguides for integrated photonics and beyond". Light: Science & Applications. 10 (1): 235. Bibcode:2021LSA....10..235M. doi:10.1038/s41377-021-00655-x. ISSN   2047-7538. PMC   8608813 . PMID   34811345.
  35. 1 2 Li, Zhaoyi; Kim, Myoung-Hwan; Wang, Cheng; Han, Zhaohong; Shrestha, Sajan; Overvig, Adam Christopher; Lu, Ming; Stein, Aaron; Agarwal, Anuradha Murthy; Lončar, Marko; Yu, Nanfang (July 2017). "Controlling propagation and coupling of waveguide modes using phase-gradient metasurfaces". Nature Nanotechnology. 12 (7): 675–683. Bibcode:2017NatNa..12..675L. doi:10.1038/nnano.2017.50. ISSN   1748-3395. OSTI   1412777. PMID   28416817.
  36. ↑ Guo, Xuexue; Ding, Yimin; Chen, Xi; Duan, Yao; Ni, Xingjie (2020-07-17). "Molding free-space light with guided wave–driven metasurfaces". Science Advances. 6 (29): eabb4142. arXiv: 2001.03001 . Bibcode:2020SciA....6.4142G. doi:10.1126/sciadv.abb4142. ISSN   2375-2548. PMC   7439608 . PMID   32832643.{{cite journal}}: CS1 maint: article number as page number (link)
  37. ↑ He, Tiantian; Meng, Yuan; Liu, Zhoutian; Hu, Futai; Wang, Rui; Li, Dan; Yan, Ping; Liu, Qiang; Gong, Mali; Xiao, Qirong (2021-11-22). "Guided mode meta-optics: metasurface-dressed waveguides for arbitrary mode couplers and on-chip OAM emitters with a configurable topological charge". Optics Express. 29 (24): 39406–39418. Bibcode:2021OExpr..2939406H. doi: 10.1364/OE.443186 . ISSN   1094-4087. PMID   34809306. S2CID   243813207.
  38. ↑ Cheben, Pavel; Halir, Robert; Schmid, Jens H.; Atwater, Harry A.; Smith, David R. (August 2018). "Subwavelength integrated photonics". Nature. 560 (7720): 565–572. Bibcode:2018Natur.560..565C. doi:10.1038/s41586-018-0421-7. ISSN   1476-4687. PMID   30158604. S2CID   52117964.
  39. ↑ Meng, Yuan; Liu, Zhoutian; Xie, Zhenwei; Wang, Ride; Qi, Tiancheng; Hu, Futai; Kim, Hyunseok; Xiao, Qirong; Fu, Xing; Wu, Qiang; Bae, Sang-Hoon; Gong, Mali; Yuan, Xiaocong (2020-04-01). "Versatile on-chip light coupling and (de)multiplexing from arbitrary polarizations to controlled waveguide modes using an integrated dielectric metasurface". Photonics Research. 8 (4): 564. doi:10.1364/PRJ.384449. ISSN   2327-9125. S2CID   213576669.
  40. ↑ Wu, Changming; Yu, Heshan; Lee, Seokhyeong; Peng, Ruoming; Takeuchi, Ichiro; Li, Mo (2021-01-04). "Programmable phase-change metasurfaces on waveguides for multimode photonic convolutional neural network". Nature Communications. 12 (1): 96. arXiv: 2004.10651 . Bibcode:2021NatCo..12...96W. doi:10.1038/s41467-020-20365-z. ISSN   2041-1723. PMC   7782756 . PMID   33398011.
  41. ↑ Rubin, Noah A.; Zaidi, Aun; Juhl, Michael; Li, Ruo Ping; Mueller, J.P. Balthasar; Devlin, Robert C.; Leósson, Kristján; Capasso, Federico (2018-08-20). "Polarization state generation and measurement with a single metasurface". Optics Express. 26 (17): 21455–21478. Bibcode:2018OExpr..2621455R. doi:10.1364/OE.26.021455. ISSN   1094-4087. PMID   30130853.
  42. ↑ A. Arbabi (2016). "Miniature optical planar camera based on a wide-angle metasurface doublet corrected for monochromatic aberrations". Nature Communications. 7: 13682–89. arXiv: 1604.06160 . Bibcode:2016NatCo...713682A. doi:10.1038/ncomms13682. PMC   5133709 . PMID   27892454.
  43. ↑ W. Chen (2018). "A broadband achromatic metalens for focusing and imaging in the visible". Nature Nanotechnology. 13 (3): 220–226. Bibcode:2018NatNa..13..220C. doi:10.1038/s41565-017-0034-6. PMID   29292382. S2CID   205567341.
  44. ↑ S. Zhang (2020). "Metasurfaces for biomedical applications: imaging and sensing from a nanophotonics perspective". Nanophotonics. 10 (1): 259–293. Bibcode:2020Nanop..10..373Z. doi: 10.1515/nanoph-2020-0373 . hdl: 10023/20902 . S2CID   225279574.
  45. ↑ L. Jiang (2017). "Multifunctional hyperbolic nanogroove metasurface for submolecular detection". Small. 13 (30): 1700600–10. doi:10.1002/smll.201700600. PMID   28597602.
  46. ↑ M. Beruete (2019). "Terahertz sensing based on metasurfaces". Advanced Optical Materials. 8 (3): 1900721–28. doi:10.1002/adom.201900721. S2CID   199649103.
  47. ↑ R. Ahmed (2020). "Tunable Fano-resonant metasurfaces on a disposable plastic-template for multimodal and multiplex biosensing". Advanced Materials. 32 (19): 1907160–78. Bibcode:2020AdM....3207160A. doi:10.1002/adma.201907160. hdl:11693/75646. PMC   8713081 . PMID   32201997.
  48. ↑ Mai, Wending; Campbell, Sawyer D.; Whiting, Eric B.; Kang, Lei; Werner, Pingjuan L.; Chen, Yifan; Werner, Douglas H. (2020-10-01). "Prismatic discontinuous Galerkin time domain method with an integrated generalized dispersion model for efficient optical metasurface analysis". Optical Materials Express. 10 (10): 2542–2559. Bibcode:2020OMExp..10.2542M. doi: 10.1364/OME.399414 . ISSN   2159-3930.
  49. ↑ Mai, Wending; Werner, Douglas H. (2020). "prism-DGTD with GDM to analyze pixelized metasurfaces". Open Science Framework. Center for Open Science. doi:10.17605/OSF.IO/2NA4F . Retrieved 17 August 2025.
  50. ↑ Song, Qinghua; Baroni, Arthur; Sawant, Rajath; Ni, Peinan; Brandli, Virginie; Chenot, Sébastien; Vézian, Stéphane; Damilano, Benjamin; de Mierry, Philippe; Khadir, Samira; Ferrand, Patrick (December 2020). "Ptychography retrieval of fully polarized holograms from geometric-phase metasurfaces". Nature Communications. 11 (1): 2651. Bibcode:2020NatCo..11.2651S. doi:10.1038/s41467-020-16437-9. ISSN   2041-1723. PMC   7253437 . PMID   32461637.
This page is based on this Wikipedia article
Text is available under the CC BY-SA 4.0 license; additional terms may apply.
Images, videos and audio are available under their respective licenses.