Abstract
Metasurfaces are two-dimensional arrangements of subwavelength scatterers that control the propagation of optical waves1,2,3. Here, we show that cascaded metasurfaces, each performing a predefined mathematical transformation4, provide a new optical design framework5 that enables new functionalities not yet demonstrated with single metasurfaces. Specifically, we demonstrate that retroreflection can be achieved with two vertically stacked planar metasurfaces, the first performing a spatial Fourier transform and its inverse, and the second imparting a spatially varying momentum to the Fourier transform of the incident light. Using this concept, we fabricate and test a planar monolithic near-infrared retroreflector composed of two layers of silicon nanoposts, which reflects light along its incident direction with a normal incidence efficiency of 78% and a large half-power field of view of 60°. The metasurface retroreflector demonstrates the potential of cascaded metasurfaces for implementing novel high-performance components, and enables low-power and low-weight passive optical transmitters6,7,8.
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References
Yu, N. & Capasso, F. Flat optics with designer metasurfaces. Nat. Mater. 13, 139–150 (2014).
Zhang, L., Mei, S., Huang, K. & Qiu, C.-W. Advances in full control of electromagnetic waves with metasurfaces. Adv. Opt. Mater. 4, 818–833 (2016).
Jahani, S. & Jacob, Z. All-dielectric metamaterials. Nat. Nanotech. 11, 23–36 (2016).
Silva, A. et al. Performing mathematical operations with metamaterials. Science 343, 160–163 (2014).
Arbabi, A. et al. Miniature optical planar camera based on a wide-angle metasurface doublet corrected for monochromatic aberrations. Nat. Commun. 7, 13682 (2016).
Gilbreath, G. C. Large-aperture multiple quantum well modulating retroreflector for free-space optical data transfer on unmanned aerial vehicles. Opt. Eng. 40, 1348–1356 (2001).
Rabinovich, W. S. et al. A cat's eye multiple quantum-well modulating retro-reflector. IEEE Photon. Technol. Lett. 15, 461–463 (2003).
Zhou, L. X., Kahn, J. M. & Pister, K. S. J. Corner-cube retroreflectors based on structure-assisted assembly for free-space optical communication. J. Microelectromech. Syst. 12, 233–242 (2003).
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).
Lalanne, P., Astilean, S., Chavel, P., Cambril, E. & Launois, H. Design and fabrication of blazed binary diffractive elements with sampling periods smaller than the structural cutoff. J. Opt. Soc. Am. A 16, 1143–1156 (1999).
Lin, D., Fan, P., Hasman, E. & Brongersma, M. L. Dielectric gradient metasurface optical elements. Science 345, 298–302 (2014).
Vo, S. et al. Sub-wavelength grating lenses with a twist. IEEE Photon. Technol. Lett. 26, 1375–1378 (2014).
Arbabi, A., Horie, Y., Ball, A. J., Bagheri, M. & Faraon, A. Subwavelength-thick lenses with high numerical apertures and large efficiency based on high-contrast transmitarrays. Nat. Commun. 6, 7069 (2015).
Khorasaninejad, M. et al. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging. Science 352, 1190–1194 (2016).
Ni, X., Wong, Z. J., Mrejen, M., Wang, Y. & Zhang, X. An ultrathin invisibility skin cloak for visible light. Science 349, 1310–1314 (2015).
Kamali, S. M., Arbabi, A., Arbabi, E., Horie, Y. & Faraon, A. Decoupling optical function and geometrical form using conformal flexible dielectric metasurfaces. Nat. Commun. 7, 11618 (2016).
Takatsuji, T., Goto, M., Osawa, S., Yin, R. M. & Kurosawa, T. Whole-viewing-angle cat's-eye retroreflector as a target of laser trackers. Meas. Sci. Technol. 10, 87–90 (1999).
Griggs, S. P., Mark, M. B. & Feldman, B. J. Dynamic optical tags. Proc. SPIE 5441, 151 (2004).
Warneke, B. A. et al. An autonomous 16 mm3 solar-powered node for distributed wireless sensor networks. IEEE Sensors 2, 1510–1515 (2002).
Ozawa, K. Laser transmitter/receiver system for Earth-satellite-Earth long-path absorption measurements of atmospheric trace species using the retroreflector in space. Opt. Eng. 36, 3235–3241 (1997).
Ma, Y. G., Ong, C. K., Tyc, T. & Leonhardt, U. An omnidirectional retroreflector based on the transmutation of dielectric singularities. Nat. Mater. 8, 639–642 (2009).
Vitaz, J. A., Buerkle, A. M. & Sarabandi, K. Tracking of metallic objects using a retro-reflective array at 26 GHz. IEEE Trans. Antennas Propag. 58, 3539–3544 (2010).
Fairchild, R. C. & Fienup, J. R. Computer-originated aspheric holographic optical elements. Opt. Eng. 21, 133–140 (1982).
Arbabi, A., Horie, Y. & Faraon, A. in CLEO: 2014, OSA Technical Digest Paper STu3M.5 (Optical Society of America, 2014).
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. Nanotech. 10, 937–943 (2015).
O'Shea, D. C., Suleski, T. J., Kathman, A. D. & Prather, D. W. Diffractive Optics: Design, Fabrication, and Test (SPIE, 2004).
Arbabi, E., Arbabi, A., Kamali, S. M., Horie, Y. & Faraon, A. Multiwavelength polarization-insensitive lenses based on dielectric metasurfaces with meta-molecules. Optica 3, 628–633 (2016).
Snyder, J. J. Paraxial ray analysis of a cats-eye retroreflector. Appl. Opt. 14, 1825–1828 (1975).
Eisenbach, O., Avayu, O., Ditcovski, R. & Ellenbogen, T. Metasurfaces based dual wavelength diffractive lenses. Opt. Express 23, 3928–3936 (2015).
Aieta, F., Kats, M. A., Genevet, P. & Capasso, F. Multiwavelength achromatic metasurfaces by dispersive phase compensation. Science 347, 1342–1345 (2015).
Liu, V. & Fan, S. S4: a free electromagnetic solver for layered periodic structures. Comput. Phys. Commun. 183, 2233–2244 (2012).
Acknowledgements
This work was supported by the Jet Propulsion Laboratory, DARPA and Northrop Grumman NG Next. Y.H. acknowledges support from Japan Student Services Organization (JASSO) fellowship. S.M.K. was supported as part of the DOE ‘Light–Material Interactions in Energy Conversion' Energy Frontier Research Center under grant no. DE-SC0001293. Device nanofabrication was performed at the Kavli Nanoscience Institute at Caltech.
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A.A. and A.F. conceived the concept. A.A. designed and optimized the device. A.A. and E.A. fabricated the sample with help from Y.H. and S.M.K. A.A., E.A. and A.F. designed the experiments. AA. and E.A. performed the measurements and analysed the data. A.A. and A.F. wrote the manuscript with input from all the authors.
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A.A. and A.F. have submitted a patent application based on the idea presented in this work.
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Arbabi, A., Arbabi, E., Horie, Y. et al. Planar metasurface retroreflector. Nature Photon 11, 415–420 (2017). https://doi.org/10.1038/nphoton.2017.96
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DOI: https://doi.org/10.1038/nphoton.2017.96
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