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Conformal Sparse Metasurfaces for Wavefront Manipulation

Vladislav Popov1,*, Shah Nawaz Burokur2,†, and Fabrice Boust1,3

  • 1SONDRA, CentraleSupélec, Université Paris-Saclay, Gif-sur-Yvette F-91190, France
  • 2LEME, UPL, Univ Paris Nanterre, Ville d’Avray F92410, France
  • 3DEMR, ONERA, Université Paris-Saclay, Palaiseau F-91123, France

  • *physics.vlad@gmail.com
  • †sburokur@parisnanterre.fr
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Phys. Rev. Applied 14, 044007 – Published 6 October, 2020

DOI: https://doi.org/10.1103/PhysRevApplied.14.044007

Abstract

The last decade was marked by the advent of the concepts of phase gradient and Huygens’ metasurfaces, and simple theoretical models have been leading the research on metasurfaces ever since. Meanwhile, theoretical modeling of nonplanar metasurfaces has appeared to be exceptionally challenging where it demands accurate analysis of the metasurface geometry. The present work addresses this challenge with a radically different theoretical approach demonstrating how numerical calculation of Green’s function can be employed to design conformal metasurfaces of arbitrary geometries within the same framework and without any accommodation. Against the classical concepts, the alternative approach permits building a metasurface of meta-atoms with an electric only response and significantly simplifying its design and fabrication. The theory is endorsed experimentally by testing several metasurface prototypes for different beam-forming functionalities: radiation with single or multiple beams in any desired direction.

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References (38)

  1. N. Yu, P. Genevet, M. A. Kats, F. Aieta, J.-P. Tetienne, F. Capasso, and Z. Gaburro, Light propagation with phase discontinuities: Generalized laws of reflection and refraction, Science 334, 333 (2011).
  2. C. Pfeiffer and A. Grbic, Metamaterial Huygens’ Surfaces: Tailoring Wave Fronts with Reflectionless Sheets, Phys. Rev. Lett. 110, 197401 (2013).
  3. D. Germain, D. Seetharamdoo, S. N. Burokur, and A. de Lustrac, Phase-compensated metasurface for a conformal microwave antenna, Appl. Phys. Lett. 103, 124102 (2013).
  4. D. J. Gregoire, 3-D conformal metasurfaces, IEEE Antennas Wirel. Propag. Lett. 12, 233 (2013).
  5. L. Liang, M. Qi, J. Yang, X. Shen, J. Zhai, W. Xu, B. Jin, W. Liu, Y. Feng, C. Zhang, H. Lu, H.-T. Chen, L. Kang, W. Xu, J. Chen, T. J. Cui, P. Wu, and S. Liu, Anomalous terahertz reflection and scattering by flexible and conformal coding metamaterials, Adv. Opt. Mater. 3, 1374 (2015).
  6. S. Walia, C. M. Shah, P. Gutruf, H. Nili, D. R. Chowdhury, W. Withayachumnankul, M. Bhaskaran, and S. Sriram, Flexible metasurfaces and metamaterials: A review of materials and fabrication processes at micro- and nano-scales, Appl. Phys. Rev. 2, 011303 (2015).
  7. J. Cheng, S. Jafar-Zanjani, and H. Mosallaei, All-dielectric ultrathin conformal metasurfaces: Lensing and cloaking applications at 532 nm wavelength, Sci. Rep. 6, 38440 (2016).
  8. S. M. Kamali, A. Arbabi, E. Arbabi, Y. Horie, and A. Faraon, Decoupling optical function and geometrical form using conformal flexible dielectric metasurfaces, Nat. Commun. 7, 11618 (2016).
  9. H.-X. Xu, S. Tang, C. Sun, L. Li, H. Liu, X. Yang, F. Yuan, and Y. Sun, High-efficiency broadband polarization-independent superscatterer using conformal metasurfaces, Photon. Res. 6, 782 (2018).
  10. K. Wu, P. Coquet, Q. J. Wang, and P. Genevet, Modelling of free-form conformal metasurfaces, Nat. Commun. 9, 3494 (2018).
  11. H. Li, C. Ma, F. Shen, K. Xu, D. Ye, J. Huangfu, C. Li, L. Ran, and T. A. Denidni, Wide-angle beam steering based on an active conformal metasurface lens, IEEE Access 7, 185264 (2019).
  12. P. Nayeri, F. Yang, and A. Z. Elsherbeni, Reflectarray Antennas: Theory, Designs and Applications (Wiley Online Library, New Jersey, 2018).
  13. V. S. Asadchy, M. Albooyeh, S. N. Tcvetkova, A. Díaz-Rubio, Y. Ra’di, and S. A. Tretyakov, Perfect control of reflection and refraction using spatially dispersive metasurfaces, Phys. Rev. B 94, 075142 (2016).
  14. N. Mohammadi Estakhri and A. Alù, Wave-Front Transformation with Gradient Metasurfaces, Phys. Rev. X 6, 041008 (2016).
  15. E. F. Kuester, M. A. Mohamed, M. Piket-May, and C. L. Holloway, Averaged transition conditions for electromagnetic fields at a metafilm, IEEE Trans. Antennas Propag. 51, 2641 (2003).
  16. A. Epstein and G. V. Eleftheriades, Huygens’ metasurfaces via the equivalence principle: Design and applications, J. Opt. Soc. Am. B 33, A31 (2016).
  17. Y. Ra’di, D. L. Sounas, and A. Alù, Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control, Phys. Rev. Lett. 119, 067404 (2017).
  18. A. Epstein and O. Rabinovich, Unveiling the Properties of Metagratings via a Detailed Analytical Model for Synthesis and Analysis, Phys. Rev. Appl. 8, 054037 (2017).
  19. A. M. H. Wong and G. V. Eleftheriades, Perfect Anomalous Reflection with a Bipartite Huygens’ Metasurface, Phys. Rev. X 8, 011036 (2018).
  20. V. Popov, F. Boust, and S. N. Burokur, Constructing the near Field and far Field with Reactive Metagratings: Study on the Degrees of Freedom, Phys. Rev. Appl. 11, 024074 (2019).
  21. A. Epstein and G. V. Eleftheriades, Synthesis of Passive Lossless Metasurfaces Using Auxiliary Fields for Reflectionless Beam Splitting and Perfect Reflection, Phys. Rev. Lett. 117, 256103 (2016).
  22. A. Díaz-Rubio, V. S. Asadchy, A. Elsakka, and S. A. Tretyakov, From the generalized reflection law to the realization of perfect anomalous reflectors, Sci. Adv. 3, e1602714 (2017).
  23. D. Kwon, Lossless scalar metasurfaces for anomalous reflection based on efficient surface field optimization, IEEE Antennas Wirel. Propag. Lett. 17, 1149 (2018).
  24. A. Epstein and G. V. Eleftheriades, Passive lossless huygens metasurfaces for conversion of arbitrary source field to directive radiation, IEEE Trans. Antennas Propag. 62, 5680 (2014).
  25. A. Epstein and G. V. Eleftheriades, Arbitrary power-conserving field transformations with passive lossless omega-type bianisotropic metasurfaces, IEEE Trans. Antennas Propag. 64, 3880 (2016).
  26. Indeed, the matrix composed of coefficients Cn(q) is not degenerate since Gxx(r,ϕ;rq) related to different points rq are linearly independent. On the other hand, symmetries of the systems should be respected, e.g., a linear array of wires in vacuum radiates symmetrically and there is an additional constraint between the Fourier coefficients Cn=C−n.
  27. X. Wang, A. Díaz-Rubio, A. Sneck, A. Alastalo, T. Mäkelä, J. Ala-Laurinaho, J. Zheng, A. V. Räisänen, and S. A. Tretyakov, Systematic design of printable metasurfaces: Validation through reverse-offset printed millimeter-wave absorbers, IEEE Trans. Antennas Propag. 66, 1340 (2018).
  28. S. Tretyakov, Analytical Modeling in Applied Electromagnetics (Artech House, Norwood, MA, 2003).
  29. V. Popov, M. Yakovleva, F. Boust, J.-L. Pelouard, F. Pardo, and S. N. Burokur, Designing Metagratings via Local Periodic Approximation: From Microwaves to Infrared, Phys. Rev. Appl. 11, 044054 (2019).
  30. V. Popov, F. Boust, and S. N. Burokur, Beamforming with metagratings at microwave frequencies: Design procedure and experimental demonstration, IEEE Trans. Antennas Propag. 68, 1533 (2020).
  31. P. Katehi and N. Alexopoulos, On the modeling of electromagnetically coupled microstrip antennas–the printed strip dipole, IEEE Trans. Antennas Propag. 32, 1179 (1984).
  32. A. Epstein, J. P. S. Wong, and G. V. Eleftheriades, Cavity-excited Huygens’ metasurface antennas for near-unity aperture illumination efficiency from arbitrarily large apertures, Nat. Commun. 7, 10360 (2016).
  33. J. Kennedy and R. Eberhart, in Proceedings of ICNN’95 - International Conference on Neural Networks (IEEE, Perth, WA, Australia, 1995), Vol. 4, p. 1942.
  34. V. S. Asadchy, Y. Ra’di, J. Vehmas, and S. A. Tretyakov, Functional Metamirrors Using Bianisotropic Elements, Phys. Rev. Lett. 114, 095503 (2015).
  35. V. S. Asadchy, A. Díaz-Rubio, and S. A. Tretyakov, Bianisotropic metasurfaces: Physics and applications, Nanophotonics 7, 1069 (2018).
  36. S. A. Schelkunoff, Some equivalence theorems of electromagnetics and their application to radiation problems, Bell Syst. Tech. J. 15, 92 (1936).
  37. S. A. Schelkunoff, A mathematical theory of linear arrays, Bell Syst. Tech. J. 22, 80 (1943).
  38. K. Huang, F. Qin, H. Liu, H. Ye, C.-W. Qiu, M. Hong, B. Luk’yanchuk, and J. Teng, Planar diffractive lenses: Fundamentals, functionalities, and applications, Adv. Mater. 30, 1704556 (2018).

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Phys. Rev. Applied 14, 044007– Published 6 October, 2020
  • Received 28 January 2020
  • Revised 12 July 2020
  • Accepted 10 September 2020
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