Huygens’ metasurfaces from microwaves to optics: a review

Abstract In this article, the basic principles and the main applications of Huygens’ metasurfaces (HMSs) are reviewed from microwaves to optics. In general, HMSs comprise a thin layer of orthogonal electric and magnetic dipoles, which form an array of Huygens’ sources. In a refraction setting, these sources radiate mostly in the forward direction and can be used to manipulate an incident electromagnetic wave at will. In the case of passive HMSs, the Huygens’ sources are induced by an incident electromagnetic field. Examples of passive manipulations include reflectionless refraction, perfect anomalous reflection, and arbitrary antenna beam forming. In the case of active HMSs, the Huygens’ sources are impressed active sources. Active HMS manipulations include cloaking and subwavelength spot formation in a cavity environment.

[1]  George V. Eleftheriades,et al.  Binary Huygens’ Metasurfaces: Experimental Demonstration of Simple and Efficient Near-Grazing Retroreflectors for TE and TM Polarizations , 2018, IEEE Transactions on Antennas and Propagation.

[2]  Sergei A. Tretyakov,et al.  Susceptibility Derivation and Experimental Demonstration of Refracting Metasurfaces Without Spurious Diffraction , 2018, IEEE Transactions on Antennas and Propagation.

[3]  J. Rho,et al.  Pragmatic Metasurface Hologram at Visible Wavelength: The Balance between Diffraction Efficiency and Fabrication Compatibility , 2017 .

[4]  Dragomir N. Neshev,et al.  High‐Efficiency All‐Dielectric Metalenses for Mid‐Infrared Imaging , 2017 .

[5]  Davood Fathi,et al.  Dielectric metalenses with engineered point spread function. , 2017, Applied optics.

[6]  Xiaomei Yu,et al.  Transmissive terahertz metalens with full phase control based on a dielectric metasurface. , 2017, Optics letters.

[7]  Chen Shen,et al.  Power flow–conformal metamirrors for engineering wave reflections , 2017, Science Advances.

[8]  Yuzuru Takashima,et al.  Polarization independent high transmission large numerical aperture laser beam focusing and deflection by dielectric Huygens’ metasurfaces , 2017 .

[9]  F. Laurell,et al.  All-dielectric KTiOPO4 metasurfaces based on multipolar resonances in the terahertz region. , 2017, Optics express.

[10]  Yuri S. Kivshar,et al.  Angle-selective all-dielectric Huygens’ metasurfaces , 2017 .

[11]  Yuan Hsing Fu,et al.  Asymmetric Nanoantennas for Ultrahigh Angle Broadband Visible Light Bending. , 2017, Nano letters.

[12]  George V. Eleftheriades,et al.  Perfect Anomalous Reflection with a Bipartite Huygens’ Metasurface , 2017, 1709.04990.

[13]  U. Levy,et al.  In Situ Planarization of Huygens Metasurfaces by Nanoscale Local Oxidation of Silicon , 2017 .

[14]  Ariel Epstein,et al.  Unveiling the Properties of Metagratings via a Detailed Analytical Model for Synthesis and Analysis , 2017, 1708.08187.

[15]  P. Richetti,et al.  Isotropic Huygens dipoles and multipoles with colloidal particles , 2017, 1707.08902.

[16]  Igal Brener,et al.  Huygens' Metasurfaces Enabled by Magnetic Dipole Resonance Tuning in Split Dielectric Nanoresonators. , 2017, Nano letters.

[17]  Hossein Mosallaei,et al.  All‐Dielectric C‐Shaped Nanoantennas for Light Manipulation: Tailoring Both Magnetic and Electric Resonances to the Desire , 2017 .

[18]  G. Eleftheriades,et al.  Perfect anomalous reflection with an aggressively discretized Huygens' metasurface , 2017, 2017 XXXIInd General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS).

[19]  Kai Guo,et al.  Mid-infrared polarization devices based on the double-phase modulating dielectric metasurface , 2017 .

[20]  Viktoriia E. Babicheva,et al.  Resonant Lattice Kerker Effect in Metasurfaces With Electric and Magnetic Optical Responses , 2017, 1705.05533.

[21]  Sheng Liu,et al.  Ultrafast all-optical tuning of direct-gap semiconductor metasurfaces , 2017, Nature Communications.

[22]  A. Alú,et al.  Metagratings: Beyond the Limits of Graded Metasurfaces for Wave Front Control. , 2017, Physical review letters.

[23]  Martin Wegener,et al.  Eliminating Scattering Loss in Anomalously Reflecting Optical Metasurfaces , 2017 .

[24]  Guixin Li,et al.  Nonlinear photonic metasurfaces , 2017 .

[25]  M. Chen,et al.  Experimental verification of reflectionless wide-angle refraction via a bianisotropic Huygens' metasurface , 2017, 2017 XXXIInd General Assembly and Scientific Symposium of the International Union of Radio Science (URSI GASS).

[26]  George V. Eleftheriades,et al.  Emulating arbitrary antenna arrays with low-profile probe-fed cavity-excited omega-bianisotropic metasurface antennas , 2017, 2017 11th European Conference on Antennas and Propagation (EUCAP).

[27]  Yongtian Wang,et al.  Tunable wave plate based on active plasmonic metasurfaces. , 2017, Optics express.

[28]  G. Eleftheriades,et al.  Arbitrary Antenna Arrays Without Feed Networks Based on Cavity-Excited Omega-Bianisotropic Metasurfaces , 2017, IEEE Transactions on Antennas and Propagation.

[29]  Yuri S. Kivshar,et al.  Electrically tunable all-dielectric optical metasurfaces based on liquid crystals , 2017 .

[30]  Bo O. Zhu,et al.  A Reconfigurable Active Huygens' Metalens , 2017, Advanced materials.

[31]  Fei Shen,et al.  Enhanced Forward Scattering of Ellipsoidal Dielectric Nanoparticles , 2017, Nanoscale Research Letters.

[32]  Din Ping Tsai,et al.  Active dielectric metasurface based on phase‐change medium , 2016 .

[33]  Hongyu Shi,et al.  A Reconfigurable Polarization Converter Using Active Metasurface and Its Application in Horn Antenna , 2016, IEEE Transactions on Antennas and Propagation.

[34]  A. Alú,et al.  Wave-front Transformation with Gradient Metasurfaces , 2016 .

[35]  Prasad P. Iyer,et al.  Electrically Reconfigurable Metasurfaces Using Heterojunction Resonators , 2016 .

[36]  Ana Díaz-Rubio,et al.  From the generalized reflection law to the realization of perfect anomalous reflectors , 2016, Science Advances.

[37]  V. S. Melnikova,et al.  Giant cross-polarization conversion of terahertz radiation by plasmons in an active graphene metasurface , 2016 .

[38]  A. Alú,et al.  Enhancing metasurfaces and metamaterials with time-modulation and nonlinear responses , 2016, 2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS).

[39]  Junjie Li,et al.  Dielectric Huygens’ Metasurface for High-Efficiency Hologram Operating in Transmission Mode , 2016, Scientific Reports.

[40]  Marco Sabbadini,et al.  Synthesis of Modulated-Metasurface Antennas With Amplitude, Phase, and Polarization Control , 2016, IEEE Transactions on Antennas and Propagation.

[41]  Ariel Epstein,et al.  Synthesis of Passive Lossless Metasurfaces Using Auxiliary Fields for Reflectionless Beam Splitting and Perfect Reflection. , 2016, Physical review letters.

[42]  S. Tcvetkova,et al.  Perfect control of reflection and refraction using spatially dispersive metasurfaces , 2016, 1605.02044.

[43]  Joyce K. S. Poon,et al.  Vanadium-dioxide-assisted digital optical metasurfaces for dynamic wavefront engineering , 2016 .

[44]  L. Guo,et al.  Polarization rotation with ultra-thin bianisotropic metasurfaces , 2016 .

[45]  G. Eleftheriades,et al.  Active Huygens' metasurfaces for RF waveform synthesis in a cavity , 2016, 2016 18th Mediterranean Electrotechnical Conference (MELECON).

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

[47]  M. Albooyeh,et al.  Metasurfaces for perfect and full control of refraction and reflection , 2016, 2016 10th International Congress on Advanced Electromagnetic Materials in Microwaves and Optics (METAMATERIALS).

[48]  Y. Kivshar,et al.  Invited article: Broadband highly-efficient dielectric metadevices for polarization control , 2016 .

[49]  George V. Eleftheriades,et al.  Huygens' metasurfaces via the equivalence principle: design and applications , 2016 .

[50]  Andrea Alù,et al.  Recent progress in gradient metasurfaces , 2016 .

[51]  Viktoriia E. Babicheva,et al.  Reflection compensation mediated by electric and magnetic resonances of all-dielectric metasurfaces [Invited] , 2015, 1511.08473.

[52]  D. Tsai,et al.  Gate-Tunable Conducting Oxide Metasurfaces. , 2015, Nano letters.

[53]  M. Albooyeh,et al.  Electromagnetic characterization of bianisotropic metasurfaces on refractive substrates: General theoretical framework , 2015, 1511.02952.

[54]  J. O’Hara,et al.  Active metasurface terahertz deflector with phase discontinuities. , 2015, Optics express.

[55]  Q. Gong,et al.  Polarization-independent and high-efficiency dielectric metasurfaces for visible light. , 2015, Optics express.

[56]  S A Tretyakov,et al.  Metasurfaces for general transformations of electromagnetic fields , 2015, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[57]  L. Luo,et al.  Dual control of active graphene–silicon hybrid metamaterial devices , 2015 .

[58]  Ariel Epstein,et al.  Cavity-excited Huygens' metasurface antennas for near-unity aperture illumination efficiency from arbitrarily large apertures , 2015, Nature Communications.

[59]  I. Brener,et al.  Polarization-Independent Silicon Metadevices for Efficient Optical Wavefront Control. , 2015, Nano letters.

[60]  G. Eleftheriades,et al.  A simple active Huygens source for studying waveform synthesis with Huygens metasurfaces and antenna arrays , 2015, 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting.

[61]  Nikita A. Butakov,et al.  Reconfigurable Semiconductor Phased-Array Metasurfaces , 2015 .

[62]  R. Fleury,et al.  Unidirectional Cloaking Based on Metasurfaces with Balanced Loss and Gain , 2015 .

[63]  Ye Feng Yu,et al.  High‐transmission dielectric metasurface with 2π phase control at visible wavelengths , 2015 .

[64]  Andrey E. Miroshnichenko,et al.  Generalized Brewster effect in dielectric metasurfaces , 2015, Nature Communications.

[65]  Costas D. Sarris,et al.  Focusing and steering for medical applications with magnetic near-field arrays and metasurfaces , 2015, 2015 9th European Conference on Antennas and Propagation (EuCAP).

[66]  T. Zentgraf,et al.  Metasurface holograms reaching 80% efficiency. , 2015, Nature nanotechnology.

[67]  I. Brener,et al.  Active tuning of all-dielectric metasurfaces. , 2015, ACS nano.

[68]  I. V. Semchenko,et al.  Broadband reflectionless metasheets: Frequency-selective transmission and perfect absorption , 2015, 1502.06916.

[69]  George V. Eleftheriades,et al.  Superoscillations without Sidebands: Power-Efficient Sub-Diffraction Imaging with Propagating Waves , 2015, Scientific Reports.

[70]  G. Eleftheriades,et al.  Polarization Considerations for Scalar Huygens Metasurfaces and Characterization for 2-D Refraction , 2015, IEEE Transactions on Microwave Theory and Techniques.

[71]  Hui Zhang,et al.  Terahertz isolator based on nonreciprocal magneto-metasurface. , 2015, Optics express.

[72]  G. Eleftheriades,et al.  Floquet-Bloch analysis of refracting Huygens metasurfaces , 2014 .

[73]  George V. Eleftheriades,et al.  Optical Huygens' Metasurfaces with Independent Control of the Magnitude and Phase of the Local Reflection Coefficients , 2014 .

[74]  Hossein Mosallaei,et al.  Wave manipulation with designer dielectric metasurfaces. , 2014, Optics letters.

[75]  Sungjoon Lim,et al.  Active metasurface for controlling reflection and absorption properties , 2014 .

[76]  Anthony Grbic,et al.  Bianisotropic Metasurfaces for Optimal Polarization Control: Analysis and Synthesis , 2014 .

[77]  G. Eleftheriades,et al.  Polarization Control Using Tensor Huygens Surfaces , 2014, IEEE Transactions on Antennas and Propagation.

[78]  G. Eleftheriades,et al.  Passive Lossless Huygens Metasurfaces for Conversion of Arbitrary Source Field to Directive Radiation , 2014, IEEE Transactions on Antennas and Propagation.

[79]  Christophe Caloz,et al.  General Metasurface Synthesis Based on Susceptibility Tensors , 2014, IEEE Transactions on Antennas and Propagation.

[80]  George V. Eleftheriades,et al.  Design of unit cells and demonstration of methods for synthesizing Huygens metasurfaces , 2014 .

[81]  I. Brener,et al.  High-efficiency light-wave control with all-dielectric optical Huygens' metasurfaces , 2014, 1405.5038.

[82]  Anthony Grbic,et al.  Efficient light bending with isotropic metamaterial Huygens' surfaces. , 2014, Nano letters.

[83]  N. Yu,et al.  Flat optics with designer metasurfaces. , 2014, Nature materials.

[84]  George V. Eleftheriades,et al.  Circuit Modeling of Huygens Surfaces , 2013, IEEE Antennas and Wireless Propagation Letters.

[85]  George V. Eleftheriades,et al.  Experimental Demonstration of Active Electromagnetic Cloaking , 2013 .

[86]  S. Bozhevolnyi,et al.  Plasmonic metasurfaces for efficient phase control in reflection. , 2013, Optics express.

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

[88]  Bo O. Zhu,et al.  Active impedance metasurface with full 360° reflection phase tuning , 2013, Scientific Reports.

[89]  Sean Victor Hum,et al.  Reconfigurable Reflectarrays and Array Lenses for Dynamic Antenna Beam Control: A Review , 2013, IEEE Transactions on Antennas and Propagation.

[90]  I. Brener,et al.  Tailoring directional scattering through magnetic and electric resonances in subwavelength silicon nanodisks. , 2013, ACS nano.

[91]  A. Alú,et al.  Do Cloaked Objects Really Scatter Less , 2013, 1307.3996.

[92]  Sergey I. Bozhevolnyi,et al.  Gap plasmon-based metasurfaces for total control of reflected light , 2013, Scientific Reports.

[93]  Nader Behdad,et al.  Wideband True-Time-Delay Microwave Lenses Based on Metallo-Dielectric and All-Dielectric Lowpass Frequency Selective Surfaces , 2013, IEEE Transactions on Antennas and Propagation.

[94]  A. Alú,et al.  Full control of nanoscale optical transmission with a composite metascreen. , 2013, Physical review letters.

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

[96]  G. Eleftheriades,et al.  Discontinuous electromagnetic fields using orthogonal electric and magnetic currents for wavefront manipulation. , 2013, Optics express.

[97]  E. Jull,et al.  Off-Bragg Blazed Rectangular Groove Gratings for High Diffraction Efficiency Devices , 2013, IEEE Transactions on Antennas and Propagation.

[98]  S. Tretyakov,et al.  Synthesis of Polarization Transformers , 2013, IEEE Transactions on Antennas and Propagation.

[99]  S. Tretyakov,et al.  Balanced and optimal bianisotropic particles: maximizing power extracted from electromagnetic fields , 2013, 1302.2782.

[100]  Andrey E. Miroshnichenko,et al.  Directional visible light scattering by silicon nanoparticles , 2012, Nature Communications.

[101]  Lukas Novotny,et al.  Demonstration of zero optical backscattering from single nanoparticles. , 2012, Nano letters.

[102]  Chih-Ming Wang,et al.  High-efficiency broadband anomalous reflection by gradient meta-surfaces. , 2012, Nano letters.

[103]  G. V. Eleftheriades,et al.  An Active Electromagnetic Cloak Using the Equivalence Principle , 2012, IEEE Antennas and Wireless Propagation Letters.

[104]  David R. Smith,et al.  An Overview of the Theory and Applications of Metasurfaces: The Two-Dimensional Equivalents of Metamaterials , 2012, IEEE Antennas and Propagation Magazine.

[105]  B. Luk’yanchuk,et al.  Magnetic light , 2012, Scientific Reports.

[106]  Boris N. Chichkov,et al.  Multipole light scattering by nonspherical nanoparticles in the discrete dipole approximation , 2011 .

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

[108]  Philippe Ratajczak,et al.  Low‐profile frequency agile directive antenna based on an active metasurface , 2011 .

[109]  R Alcaraz de la Osa,et al.  Directionality in scattering by nanoparticles: Kerker's null-scattering conditions revisited. , 2011, Optics letters.

[110]  D. Sievenpiper,et al.  Scalar and Tensor Holographic Artificial Impedance Surfaces , 2010, IEEE Transactions on Antennas and Propagation.

[111]  M. Hentschel,et al.  Infrared perfect absorber and its application as plasmonic sensor. , 2010, Nano letters.

[112]  M. R. Chaharmir,et al.  A Wideband Transmitarray Using Dual-Resonant Double Square Rings , 2010, IEEE Transactions on Antennas and Propagation.

[113]  C. T. Chan,et al.  Exterior optical cloaking and illusions by using active sources: A boundary element perspective , 2009, 0908.2279.

[114]  G. Milton,et al.  Active exterior cloaking for the 2D Laplace and Helmholtz equations. , 2009, Physical review letters.

[115]  Costas M. Soukoulis,et al.  Wide-angle perfect absorber/thermal emitter in the terahertz regime , 2008, 0807.2479.

[116]  B Guizal,et al.  All-dielectric rod-type metamaterials at optical frequencies. , 2008, Physical review letters.

[117]  N. Engheta,et al.  Multifrequency optical invisibility cloak with layered plasmonic shells. , 2008, Physical review letters.

[118]  Willie J Padilla,et al.  Perfect metamaterial absorber. , 2008, Physical review letters.

[119]  J. Encinar,et al.  Reflectarray antennas , 2007, Developments in Antenna Analysis and Design: Volume 2.

[120]  D. Miller,et al.  On perfect cloaking. , 2006, Optics express.

[121]  C. Holloway,et al.  Reflection and transmission properties of a metafilm: with an application to a controllable surface composed of resonant particles , 2005, IEEE Transactions on Electromagnetic Compatibility.

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

[123]  George V. Eleftheriades,et al.  Design and characterization of single and multiple beam MM-wave circularly polarized substrate lens antennas for wireless communications , 1999, IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010).

[124]  H. Lezec,et al.  Extraordinary optical transmission through sub-wavelength hole arrays , 1998, Nature.

[125]  Jung Woong Ra,et al.  Off-Bragg TE blazing of a periodic strip grating on a grounded dielectric , 1997 .

[126]  D. Pozar.  Flat lens antenna concept using aperture coupled microstrip patches , 1996 .

[127]  D. A. Frickey.  Conversions between S, Z, Y, H, ABCD, and T parameters which are valid for complex source and load impedances , 1994 .

[128]  D. Pozar.  Microwave Engineering , 1990 .

[129]  Donald W. Sweeney,et al.  Computer-Generated Microwave Kinoforms , 1989 .

[130]  T. Gaylord,et al.  Analysis and applications of optical diffraction by gratings , 1985, Proceedings of the IEEE.

[131]  C. Lee Giles,et al.  Electromagnetic scattering by magnetic spheres , 1983 .

[132]  D. Maystre,et al.  A phenomenological theory for gratings: Perfect blazing for polarized light in nonzero deviation mounting , 1981 .

[133]  E. Jull,et al.  An unusual reflection grating behaviour suitable for efficient frequency scanning , 1980 .

[134]  A.W. Rudge,et al.  Offset-parabolic-reflector antennas: A review , 1978, Proceedings of the IEEE.

[135]  M. Mizusawa,et al.  Volume-type holographic antenna , 1975 .

[136]  A. Hessel,et al.  Bragg-angle blazing of diffraction gratings. , 1975 .

[137]  Jin Au Kong,et al.  Theorems of bianisotropic media , 1972 .

[138]  J. Goodman.  Introduction to Fourier optics , 1969 .

[139]  W. Lukosz.  Optical Systems with Resolving Powers Exceeding the Classical Limit , 1966 .

[140]  R. Harrington.  Time-Harmonic Electromagnetic Fields , 1961 .

[141]  E. M. T. Jones,et al.  Paraboloid reflector and hyperboloid lens antennas , 1954 .

[142]  Christian Huyghens.  Traité de la Lumière , 1920 .

[143]  George V. Eleftheriades,et al.  All-pass characteristics of a Huygens' unit cell , 2018, 2018 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM).

[144]  George V. Eleftheriades,et al.  Reflectionless Wide-Angle Refracting Metasurfaces , 2016, IEEE Antennas and Wireless Propagation Letters.

[145]  S A Tretyakov,et al.  Functional metamirrors using bianisotropic elements. , 2015, Physical review letters.

[146]  Linda Marchese,et al.  Active metasurfaces , 2014, Photonics West - Optoelectronic Materials and Devices.

[147]  V. Asadchy,et al.  One-way transparent sheets , 2014 .

[148]  Andrew M. Weiner,et al.  Femtosecond optical pulse shaping and processing , 1995 .

[149]  C. Balanis.  Advanced Engineering Electromagnetics , 1989 .

[150]  広 久保田,et al.  Principle of Optics , 1960 .

[151]  L. Lewin.  The electrical constants of a material loaded with spherical particles , 1947 .

[152]  S. A. Schelkunoff,et al.  Some equivalence theorems of electromagnetics and their application to radiation problems , 1936 .

[153]  G. Mie.  Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen , 1908 .