Electromagnetic characterization of substrated metasurfaces

Abstract In this paper we present a macroscopic model of a metasurface—optically dense grids of resonant scatterers located on a refracting interface. Similar models were previously built for the case when the scatterers are non-resonant electric dipoles and for the case when there is no substrate. In the present case scatterers are resonant, can have magnetic response, and for substrates with large refraction index acquire also substrate-induced bianisotropic properties. Representing the homogenized response of a metasurface to incident electric and magnetic fields through surface susceptibilities we derive the reflection and transmission formulas for semi-infinite and finite-thickness substrates. We develop a robust algorithm of the retrieval of the characteristic surface parameters from the reflection and transmission coefficients measured or exactly calculated for three different incidence angles. With numerical examples we show that the retrieved susceptibilities of metasurfaces are independent on the incidence angle and can be really called characteristic parameters.

[1]  Heinz,et al.  Adsorbate-induced reconstruction of Rh(110)1 x 2-H. , 1989, Physical review. B, Condensed matter.

[2]  D. Bedeaux,et al.  The polarizability of a truncated sphere on a substrate II , 1987 .

[3]  Sergei A. Tretyakov,et al.  Model of isotropic resonant magnetism in the visible range based on core-shell clusters , 2009 .

[4]  N. Zheludev,et al.  Optical manifestations of planar chirality. , 2003, Physical review letters.

[5]  D. Bedeaux,et al.  A phenomenological theory of the dielectric properties of thin films , 1973 .

[6]  S. Yoshida,et al.  Anomalous optical absorption of aggregated silver films , 1973 .

[7]  Constantin R. Simovski,et al.  On electromagnetic characterization and homogenization of nanostructured metamaterials , 2010 .

[8]  S. Sukhov,et al.  Microscopic theory of a transition layer on the ideal surface of semiinfinite dielectric media and the near-field effect , 2000 .

[9]  R. W. Christy,et al.  Optical Constants of the Noble Metals , 1972 .

[10]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[11]  Akira Kinbara,et al.  Optical effect of the substrate on the anomalous absorption of aggregated silver films , 1974 .

[12]  Yuri S. Kivshar,et al.  Substrate-induced bianisotropy in metamaterials , 2010, 1006.1159.

[13]  C. Strachan.  The reflexion of light at a surface covered by a monomolecular film , 1933, Mathematical Proceedings of the Cambridge Philosophical Society.

[14]  O. S. Heavens,et al.  Optical Properties of Thin Solid Films , 2011 .

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

[16]  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.

[17]  K. Catchpole,et al.  Plasmonic solar cells. , 2008, Optics express.

[18]  Dennis G. Hall,et al.  Absorption enhancement in silicon‐on‐insulator waveguides using metal island films , 1996 .

[19]  Langreth.  Macroscopic approach to the theory of reflectivity. , 1989, Physical review. B, Condensed matter.

[20]  Steven R. Emory,et al.  Probing Single Molecules and Single Nanoparticles by Surface-Enhanced Raman Scattering , 1997, Science.

[21]  R. E. Raab,et al.  Multipole Theory in Electromagnetism , 2004 .

[22]  H. Atwater,et al.  Plasmonics for improved photovoltaic devices. , 2010, Nature materials.

[23]  Constantin R. Simovski,et al.  Electromagnetic characterization of planar and bulk metamaterials: A theoretical study , 2010 .

[24]  D. Bedeaux,et al.  A statistical theory of the dielectric properties of thin island films: I. The surface material coefficients , 1974 .

[25]  A. Kinbara,et al.  Optical Properties of Aggregated Silver Films , 1971 .

[26]  C. Holloway,et al.  A discussion on the interpretation and characterization of metafilms/metasurfaces: The two-dimensional equivalent of metamaterials , 2009 .

[27]  Reviews of Topical Problems: Modern Status of the Theory of Light Reflection , 1968 .

[28]  N I Zheludev,et al.  Asymmetric propagation of electromagnetic waves through a planar chiral structure. , 2006, Physical review letters.

[29]  M. Wegener,et al.  Magnetic Response of Metamaterials at 100 Terahertz , 2004, Science.

[30]  M. Born,et al.  Dynamical Theory of Crystal Lattices , 1954 .

[31]  A. Kinbara,et al.  Effect of retarded dipole–dipole interactions between island particles on the optical plasma-resonance absorption of a silver-island film , 1974 .