Equivalent conductivity method: straightforward analytical solution for metasurface-based structures

We present an equivalent conductivity method for analyzing metasurface-based structures, which relies on the derivation of equivalent conductivity containing the properties such as the geometry, periodicity, and the surrounding materials. Using this approach, one can calculate the equivalent conductivity for a single metasurface layer and then consider it in further analysis of multilayer structures. Description of this method is made by considering an array of graphene nanodisks as a metasurface. The equivalent conductivity is achieved with the aid of the polarizability of a graphene nanodisk. This method is further applied to design graphene-based mid-infrared absorbers, and the results obtained by the equivalent conductivity method are confirmed by full-wave simulations.

[1]  R. Blanchard,et al.  Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces. , 2012, Nano letters.

[2]  J. Zi,et al.  Plasmon-phonon coupling in large-area graphene dot and antidot arrays fabricated by nanosphere lithography. , 2013, Nano letters.

[3]  Philippe Lalanne,et al.  On the effective medium theory of subwavelength periodic structures , 1996 .

[4]  A. Alexopoulos Effective-medium theory of surfaces and metasurfaces containing two-dimensional binary inclusions. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Sukosin Thongrattanasiri,et al.  Complete optical absorption in periodically patterned graphene. , 2012, Physical review letters.

[6]  J. Kong,et al.  Electrically tunable metasurface perfect absorbers for ultrathin mid-infrared optical modulators. , 2014, Nano letters.

[7]  Koichi Iwata,et al.  Effective medium theory of two-dimensional subwavelength gratings in the non-quasi-static limit , 1998 .

[8]  C M Soukoulis,et al.  Effective medium theory of left-handed materials. , 2004, Physical review letters.

[9]  F. J. Garcia-Vidal,et al.  Edge and waveguide terahertz surface plasmon modes in graphene microribbons , 2011, 1107.5787.

[10]  A. Kildishev,et al.  Planar Photonics with Metasurfaces , 2013, Science.

[11]  Anders Kristensen,et al.  Plasmonic metasurfaces for coloration of plastic consumer products. , 2014, Nano letters.

[12]  N. Yu,et al.  A broadband, background-free quarter-wave plate based on plasmonic metasurfaces. , 2012, Nano letters.

[13]  Martijn Wubs,et al.  Quantum optical effective-medium theory for loss-compensated metamaterials. , 2012, Physical review letters.

[14]  Shiyang Liu,et al.  Reflected wave of finite circulation from magnetic photonic crystals , 2010, Journal of physics. Condensed matter : an Institute of Physics journal.

[15]  S. Bozhevolnyi,et al.  Broadband focusing flat mirrors based on plasmonic gradient metasurfaces. , 2013, Nano letters.

[16]  Photonic Band Structure of Atomic Lattices. , 1996, Physical review letters.

[17]  Ying Wu,et al.  Effective medium theory for anisotropic metamaterials , 2014, Scientific Reports.

[18]  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.

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

[20]  P. Ajayan,et al.  Gated tunability and hybridization of localized plasmons in nanostructured graphene. , 2013, ACS nano.

[21]  Shulin Sun,et al.  Gradient-index meta-surfaces as a bridge linking propagating waves and surface waves. , 2012, Nature materials.

[22]  K. Thygesen,et al.  Plasmonic eigenmodes in individual and bow-tie graphene nanotriangles , 2014, Scientific Reports.

[23]  William L. Barnes,et al.  Plasmonic meta-atoms and metasurfaces , 2014, Nature Photonics.

[24]  Tobias Steinle,et al.  Nonreciprocal plasmonics enables giant enhancement of thin-film Faraday rotation , 2013, Nature Communications.

[25]  A. Jauho,et al.  Classical and quantum plasmonics in graphene nanodisks: Role of edge states , 2014, 1407.3920.