Full‐State Synthesis of Electromagnetic Fields using High Efficiency Phase‐Only Metasurfaces

A metasurface is a thin array of subwavelength elements with designable scattering responses, and metasurface holography is a powerful tool for imaging and field control. The existing metasurface holograms are classified into two types: one is based on phase‐only metasurfaces (including the recently presented vectorial metasurface holography), which has high power efficiency but cannot control the phases of generated fields; while the other is based on phase‐amplitude‐modulated metasurfaces, which can control both field amplitudes and phases in the region of interest (ROI) but has very low efficiency. Here, for the first time, it is proposed to synthesize the field amplitudes and phases in ROI simultaneously and independently by using high‐efficiency phase‐only metasurfaces. All points in ROI may have independent values of field amplitudes and phases, and the requirements for X and Y components may be different in achieving spatially varied polarization states. To this end, an efficient design method based on equivalent electromagnetic model and gradient‐based nonlinear optimization is proposed. Full‐wave simulations and experimental results demonstrate that the phase‐only metasurface designed by the method has 10 times higher efficiency than the phase‐amplitude‐modulated metasurface. This work opens a way to realize more complicated and high‐efficiency metasurface holography.

[1]  Flora D. Salim,et al.  Three-dimensional vectorial holography based on machine learning inverse design , 2020, Science Advances.

[2]  A. Alú,et al.  Full‐Color Complex‐Amplitude Vectorial Holograms Based on Multi‐Freedom Metasurfaces , 2019, Advanced Functional Materials.

[3]  Seyedeh Mahsa Kamali,et al.  Metasurface-generated complex 3-dimensional optical fields for interference lithography , 2019, Proceedings of the National Academy of Sciences.

[4]  Seyedeh Mahsa Kamali,et al.  Vectorial Holograms with a Dielectric Metasurface: Ultimate Polarization Pattern Generation , 2019, ACS Photonics.

[5]  N. Zheludev,et al.  Far-Field Superoscillatory Metamaterial Superlens , 2019, Physical Review Applied.

[6]  Vladimir M. Shalaev,et al.  Spatiotemporal light control with active metasurfaces , 2019, Science.

[7]  Jonathan A. Fan,et al.  Review of numerical optimization techniques for meta-device design [Invited] , 2019, Optical Materials Express.

[8]  Ming Lu,et al.  Dielectric metasurfaces for complete and independent control of the optical amplitude and phase , 2019, Light, science & applications.

[9]  Qiang Cheng,et al.  Wireless Communications through a Simplified Architecture Based on Time‐Domain Digital Coding Metasurface , 2019, Advanced Materials Technologies.

[10]  T. Cui,et al.  Synthesis Algorithm for Near-Field Power Pattern Control and Its Experimental Verification via Metasurfaces , 2019, IEEE Transactions on Antennas and Propagation.

[11]  Maxim Shusteff,et al.  Volumetric additive manufacturing via tomographic reconstruction , 2019, Science.

[12]  Shi Jin,et al.  Programmable time-domain digital-coding metasurface for non-linear harmonic manipulation and new wireless communication systems , 2018, National science review.

[13]  Qiang Cheng,et al.  Space-time-coding digital metasurfaces , 2018, Nature Communications.

[14]  Yongtian Wang,et al.  Multichannel vectorial holographic display and encryption , 2018, Light: Science & Applications.

[15]  A. Kildishev,et al.  High-Resolution Large-Ensemble Nanoparticle Trapping with Multifunctional Thermoplasmonic Nanohole Metasurface. , 2018, ACS nano.

[16]  Guixin Li,et al.  Diatomic Metasurface for Vectorial Holography. , 2018, Nano letters.

[17]  Byoungho Lee,et al.  Complete amplitude and phase control of light using broadband holographic metasurfaces. , 2017, Nanoscale.

[18]  Shuang Zhang,et al.  Electromagnetic reprogrammable coding-metasurface holograms , 2017, Nature Communications.

[19]  Jacob Scheuer,et al.  Metasurfaces-based holography and beam shaping: engineering the phase profile of light , 2017 .

[20]  Shuang Zhang,et al.  Broadband metasurface holograms: toward complete phase and amplitude engineering , 2016, Scientific Reports.

[21]  C. Soukoulis,et al.  Full‐Polarization 3D Metasurface Cloak with Preserved Amplitude and Phase , 2016, Advanced materials.

[22]  George V. Eleftheriades,et al.  Arbitrary Power-Conserving Field Transformations With Passive Lossless Omega-Type Bianisotropic Metasurfaces , 2016, IEEE Transactions on Antennas and Propagation.

[23]  Lei Wang,et al.  Efficient Polarization-Insensitive Complex Wavefront Control Using Huygens’ Metasurfaces Based on Dielectric Resonant Meta-atoms , 2016, 1602.00755.

[24]  Y. Wang,et al.  An ultrathin invisibility skin cloak for visible light , 2015, Science.

[25]  Guoxing Zheng,et al.  Helicity multiplexed broadband metasurface holograms , 2015, Nature Communications.

[26]  Guoxing Zheng,et al.  Metasurface holograms reaching 80% efficiency. , 2015, Nature nanotechnology.

[27]  P. Genevet,et al.  Holographic optical metasurfaces: a review of current progress , 2015, Reports on progress in physics. Physical Society.

[28]  Nikolay I. Zheludev,et al.  Controlling light with light using coherent metadevices: all-optical transistor, summator and invertor , 2014, Light: Science & Applications.

[29]  Fan Yang,et al.  Transmission Phase Limit of Multilayer Frequency-Selective Surfaces for Transmitarray Designs , 2014, IEEE Transactions on Antennas and Propagation.

[30]  Andrea Alù,et al.  Performing Mathematical Operations with Metamaterials , 2014, Science.

[31]  Qiaofeng Tan,et al.  Three-dimensional optical holography using a plasmonic metasurface , 2013, Nature Communications.

[32]  Vladimir M. Shalaev,et al.  Metasurface holograms for visible light , 2013, Nature Communications.

[33]  C. Pfeiffer,et al.  Millimeter-Wave Transmitarrays for Wavefront and Polarization Control , 2013, IEEE Transactions on Microwave Theory and Techniques.

[34]  C. Pfeiffer,et al.  Metamaterial Huygens' surfaces: tailoring wave fronts with reflectionless sheets. , 2013, Physical review letters.

[35]  David R. Smith,et al.  Infrared metamaterial phase holograms. , 2012, Nature materials.

[36]  N. Yu,et al.  Light Propagation with Phase Discontinuities: Generalized Laws of Reflection and Refraction , 2011, Science.

[37]  Nicholas I. M. Gould,et al.  Numerical methods for large-scale nonlinear optimization , 2005, Acta Numerica.

[38]  Gerry Leversha,et al.  Introduction to numerical analysis (3rd edn), by J. Stoer and R. Bulirsch. Pp. 744. £49. 2002. ISBN 0 387 95452 X (Springer-Verlag). , 2004, The Mathematical Gazette.

[39]  D.H. Werner,et al.  Particle swarm optimization versus genetic algorithms for phased array synthesis , 2004, IEEE Transactions on Antennas and Propagation.

[40]  C. Holloway,et al.  Averaged transition conditions for electromagnetic fields at a metafilm , 2003 .

[41]  Yahya Rahmat-Samii,et al.  Particle swarm optimization for reconfigurable phase‐differentiated array design , 2003 .

[42]  Jian-Ming Jin,et al.  Fast and Efficient Algorithms in Computational Electromagnetics , 2001 .

[43]  Jorge Nocedal,et al.  Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization , 1997, TOMS.

[44]  Jiming Song,et al.  Multilevel fast multipole algorithm for electromagnetic scattering by large complex objects , 1997 .

[45]  Ovidio Mario Bucci,et al.  Power synthesis of conformal arrays by a generalised projection method , 1995 .

[46]  Jorge Nocedal,et al.  A Limited Memory Algorithm for Bound Constrained Optimization , 1995, SIAM J. Sci. Comput..

[47]  Giorgio Franceschetti,et al.  Intersection approach to array pattern synthesis , 1990 .

[48]  G. Franceschetti,et al.  On the spatial bandwidth of scattered fields , 1987 .

[49]  R. Gerchberg.  A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .