- Open Access
Superdirective space-to-surface wave transformations with nonlocal metasurfaces
Phys. Rev. Applied 25, 034095 – Published 31 March, 2026
DOI: https://doi.org/10.1103/fl1b-yq3y
Abstract
In this work, we demonstrate theoretically and numerically that propagating waves can be fully converted into surface waves, and vice versa, using an aperiodic metasurface composed of simple, electrically small metallic elements loaded with reactive components. The proposed approach achieves nearly 100% conversion efficiency and even enables operation in the superdirective regime. We show that these metasurfaces can be designed in a modular fashion, allowing for straightforward cascading and the realization of multifunctional responses without the need for global optimization. Specifically, employing this modular methodology, we design a metasurface that converts an arbitrary incident propagating wave into a surface wave, guides it along the surface, and reradiates the received power in any desired direction with a tailored wave-front shape. The proposed technique can be used in antenna engineering and in advanced designs of reconfigurable intelligent surfaces.
Physics Subject Headings (PhySH)
Article Text
References (59)
- X. Wan, Y. B. Li, B. G. Cai, and T. J. Cui, Simultaneous controls of surface waves and propagating waves by metasurfaces, Appl. Phys. Lett. 105, 121603 (2014).
- Y. Ra’di and A. Alù, Reconfigurable metagratings, ACS Photonics 5, 1779 (2018).
- D.-H. Kwon, Lossless scalar metasurfaces for anomalous reflection based on efficient surface field optimization, IEEE Antennas Wirel. Propag. Lett. 17, 1149 (2018).
- L. Zhu, R. Dai, J. Yi, X. Chen, Z. Tan, M. Lin, and S. N. Burokur, Bifunctional microwave metagrating used as reflectarray for diffraction pattern manipulation, IEEE Antennas Wirel. Propag. Lett. 22, 2155 (2023).
- F. Liu, D.-H. Kwon, and S. Tretyakov, Reflectarrays and metasurface reflectors as diffraction gratings: A tutorial, IEEE Antennas Propag. Mag. 65, 21 (2023).
- 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).
- X. Wang, A. Díaz-Rubio, V. S. Asadchy, G. Ptitcyn, A. A. Generalov, J. Ala-Laurinaho, and S. A. Tretyakov, Extreme asymmetry in metasurfaces via evanescent fields engineering: Angular-asymmetric absorption, Phys. Rev. Lett. 121, 256802 (2018).
- S. N. Tcvetkova, D.-H. Kwon, A. Díaz-Rubio, and S. A. Tretyakov, Near-perfect conversion of a propagating plane wave into a surface wave using metasurfaces, Phys. Rev. B 97, 115447 (2018).
- V. Popov, A. Díaz-Rubio, V. Asadchy, S. Tcvetkova, F. Boust, S. Tretyakov, and S. N. Burokur, Omega-bianisotropic metasurface for converting a propagating wave into a surface wave, Phys. Rev. B 100, 125103 (2019).
- D.-H. Kwon and S. A. Tretyakov, Arbitrary beam control using passive lossless metasurfaces enabled by orthogonally polarized custom surface waves, Phys. Rev. B 97, 035439 (2018).
- A. Otto, Excitation of nonradiative surface plasma waves in silver by method of frustrated total reflection, Z. Phys. 216, 398 (1968).
- M. Neviere, R. Petit, and M. Cadilhac, About the theory of optical grating coupler-waveguide systems, Opt. Commun. 8, 113 (1973).
- W. Sun, Q. He, S. Sun, and L. Zhou, High-efficiency surface plasmon meta-couplers: Concept and microwave-regime realizations, Light Sci. Appl. 5, e16003 (2016).
- D. R. Jackson and A. A. Oliner, in Modern Antenna Handbook, edited by C. A. Balanis (John Wiley & Sons, Inc., Hoboken, NJ, USA, 2008), Chap. 7, pp. 325–367.
- S. N. Tcvetkova, S. Maci, and S. A. Tretyakov, Exact solution for conversion of surface waves to space waves by periodical impenetrable metasurfaces, IEEE Trans. Antennas Propag. 67, 3200 (2019).
- S. N. Tcvetkova, E. Martini, S. A. Tretyakov, and S. Maci, Perfect conversion of a TM surface wave into a TM leaky wave by an isotropic periodic metasurface printed on a grounded dielectric slab, IEEE Trans. Antennas Propag. 68, 6145 (2020).
- E. Abdo-Sánchez, M. Chen, A. Epstein, and G. V. Eleftheriades, A leaky-wave antenna with controlled radiation using a bianisotropic Huygens’ metasurface, IEEE Trans. Antennas Propag. 67, 108 (2019).
- H. Lee and D.-H. Kwon, Large and efficient unidirectional plane-wave–surface-wave metasurface couplers based on modulated reactance surfaces, Phys. Rev. B 103, 165142 (2021).
- M. Bodehou, K. A. Khalifeh, S. N. Jha, and C. Craeye, Direct numerical inversion methods for the design of surface wave-based metasurface antennas: Fundamentals, realizations, and perspectives, IEEE Antennas Propag. Mag. 64, 24 (2022).
- J. Budhu, L. Szymanski, and A. Grbic, Design of planar and conformal, passive, lossless metasurfaces that beamform, IEEE J. Microwaves 2, 401 (2022).
- G. Xu, G. V. Eleftheriades, and S. V. Hum, Wide-angle beam-steering and adaptive impedance matching with reconfigurable nonlocal leaky-wave antenna, IEEE Open J. Antennas Propag. 3, 1141 (2022).
- G. Xu, V. G. Ataloglou, S. V. Hum, and G. V. Eleftheriades, Extreme beam-forming with impedance metasurfaces featuring embedded sources and auxiliary surface wave optimization, IEEE Access 10, 28670 (2022).
- S. Sun, Q. He, S. Xiao, Q. Xu, X. Li, and L. Zhou, Gradient-index meta-surfaces as a bridge linking propagating waves and surface waves, Nat. Mater. 11, 426 (2012).
- N. Mohammadi Estakhri and A. Alù, Wave-front transformation with gradient metasurfaces, Phys. Rev. X 6, 041008 (2016).
- T. Arshed, S. Maci, and E. Martini, Direct synthesis of metasurfaces for efficient space- to surface-wave conversion and beamforming, IEEE Trans. Antennas Propag. 72, 7793 (2024).
- T. Cai, Y. Zhong, D. Liu, H. Huang, D. Wang, Y. Yang, H. Chen, and X. Lin, Observation of polarization-maintaining near-field directionality, Prog. Electromag. Res. 181, 35 (2024).
- D.-H. Kwon and S. A. Tretyakov, Arbitrary beam control using passive lossless metasurfaces enabled by orthogonally polarized custom surface waves, Phys. Rev. B 97, 035439 (2018).
- D.-H. Kwon, Modulated reactance surfaces for leaky-wave radiation based on complete aperture field synthesis, IEEE Trans. Antennas Propag. 68, 5463 (2020).
- J. Budhu, Near-perfect space-wave to surface-wave coupler enabled conformal space wave transporting metasurfaces, IEEE Trans. Antennas Propag. 72, 2540 (2024).
- J. Budhu, N. Ventresca, and A. Grbic, Unit cell design for aperiodic metasurfaces, IEEE Trans. Antennas Propag. 71, 7387 (2023).
- J. Budhu and A. Grbic, Perfectly reflecting metasurface reflectarrays: Mutual coupling modeling between unique elements through homogenization, IEEE Trans. Antennas Propag. 69, 122 (2021).
- M. Kim, Cavity-excited impedance surfaces for full-space beam steering via combination of integral equations and baffles, Phys. Rev. Appl. 23, 024011 (2025).
- K. Achouri and C. Caloz, in Proc. 10th Int. Congr. Adv. Electromagn. Mater. Microw. Opt. (METAMATERIALS) (Chania, Greece, 2016), pp. 13–15.
- K. Achouri and C. Caloz, Space-wave routing via surface waves using a metasurface system, Sci. Rep. 8, 7549 (2018).
- A. I. Uzkov, in Comptes Rendus (Doklady) de l’Academie Des Sciences de l’URSS (Academy of Sciences of the Soviet Union Saint Petersburg, 1946), Vol. 53, pp. 35–38.
- R. Harrington, Reactively controlled directive arrays, IEEE Trans. Antennas Propag. 26, 390 (1978).
- A. D. Yaghjian, T. H. O’Donnell, E. E. Altshuler, and S. R. Best, Electrically small supergain end-fire arrays, Radio Sci. 43, 1 (2008).
- 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).
- S. Katoch, S. S. Chauhan, and V. Kumar, A review on genetic algorithm: past, present, and future, Multimed. Tools Appl. 80, 8091 (2021).
- A. Slowik and H. Kwasnicka, Evolutionary algorithms and their applications to engineering problems, Neural Comput. Appl. 32, 12363 (2020).
- N. Engheta, C. H. Papas, and C. Elachi, Interface extinction and subsurface peaking of the radiation pattern of a line source, Appl. Phys. B 26, 231 (1981).
- S. Tretyakov, Analytical Modeling in Applied Electromagnetics (Artech House, Norwood, MA, USA, 2003).
- Y. Li, X. Ma, X. Wang, G. Ptitcyn, M. Movahediqomi, and S. A. Tretyakov, All-angle scanning perfect anomalous reflection by using passive aperiodic gratings, IEEE Trans. Antennas Propag. 72, 877 (2024).
- S. Tretyakov, Maximizing absorption and scattering by dipole particles, Plasmonics 9, 935 (2014).
- S. A. Schelkunoff, A mathematical theory of linear arrays, Bell Syst. Tech. J. 22, 80 (1943).
- R. F. Harrington, Effect of antenna size on gain, bandwidth, and efficiency, J. Res. Natl. Bur. Stand. 64D, 1 (1960),paper 64D1-31.
- Y. Li, X. Ma, X. Wang, and S. Tretyakov, Going beyond perfect absorption: Superdirective absorbers, Phys. Rev. Appl. 21, 054060 (2024).
- C. A. Valagiannopoulos, J. Vehmas, C. R. Simovski, S. A. Tretyakov, and S. I. Maslovski, Electromagnetic energy sink, Phys. Rev. B 92, 245402 (2015).
- S. I. Maslovski, H. R. L. Ferreira, I. O. Medvedev, and N. G. B. Brás, Superabsorbing metamaterial wormhole: Physical modeling and wave interaction effects, Phys. Rev. B 98, 245143 (2018).
- V. S. Asadchy, M. S. Mirmoosa, A. Díaz-Rubio, S. Fan, and S. A. Tretyakov, Tutorial on electromagnetic nonreciprocity and its origins, Proc. IEEE 108, 1684 (2020).
- V. Popov, B. Ratni, S. N. Burokur, and F. Boust, Non-local reconfigurable sparse metasurface: Efficient near-field and far-field wavefront manipulations, Adv. Opt. Mater. 9, 2001316 (2021).
- V. G. Ataloglou and G. V. Eleftheriades, A reconfigurable intelligent surface with surface-wave assisted beamforming capabilities, IEEE Trans. Antennas Propag. 73, 5346 (2025).
- S. Lim, C. Caloz, and T. Itoh, Electronically scanned composite right/left handed microstrip leaky-wave antenna, IEEE Microw. Wirel. Compon. Lett. 14, 277 (2004).
- D. Jiang, X. Li, Z. Fu, P. Ran, G. Wang, Z. Zheng, T. Zhang, and W.-Q. Wang, Liquid crystal-based wideband reconfigurable leaky wave X-band antenna, IEEE Access 7, 127320 (2019).
- O. H. Raheem Al Soad, C. Zhou, J. Fu, and Q. Wu, in 2021 Cross Strait Radio Science and Wireless Technology Conference (CSRSWTC) (IEEE, Piscataway, NJ, USA, 2021), pp. 123–125.
- D. R. Jackson and A. A. Oliner, in Modern Antenna Handbook (John Wiley & Sons, Inc, Hoboken, NJ, USA, 2008), Chap. 7, pp. 325–367.
- F. Monticone and A. Alù, Leaky-wave theory, techniques, and applications: From microwaves to visible frequencies, Proc. IEEE 103, 793 (2015).
- Wave Optics Module User’s Guide (COMSOL Multiphysics® v. 6.2, COMSOL AB, Stockholm, Sweden, 2023), pp. 153–155.
- K. Achouri and C. Caloz, Space-wave routing via surface waves using a metasurface system, Sci. Rep. 8, 7549 (2018).