Magnetic and electric coupling effects of dielectric metamaterial

The coupling effects of subwavelength high-permittivity (?r?>?100) arrayed ceramics which exhibit magnetic and electric Mie resonances are investigated by electromagnetic full-wave analysis. Special attention was paid to the symmetry properties of both magnetic- and electric-induced dipoles by varying independently the array periodicity. In agreement with the interactions between electric and magnetic dipoles, it is shown that resonance frequency shifts toward lower (higher) frequencies can be obtained, which depends on the longitudinal (transverse) dipole coupling strengths. Moreover, the emergence of quasi-bound states between tightly coupled basic cells is pointed out for the electric Mie resonances, which shows an unexpected frequency shift with a reverse variation.

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

[2]  David R. Smith,et al.  Negative refractive index in left-handed materials. , 2000, Physical review letters.

[3]  Transformation optics for the full dielectric electromagnetic cloak and metal-dielectric planar hyperlens , 2008 .

[4]  Wounjhang Park,et al.  Metal nanocluster metamaterial fabricated by the colloidal self-assembly. , 2009, Optics letters.

[5]  Davy P. Gaillot,et al.  Bloch impedance in negative index photonic crystals , 2008 .

[6]  A. Gopinath,et al.  Simulation of a metamaterial containing cubic high dielectric resonators , 2007 .

[7]  Igal Brener,et al.  Micrometer‐Scale Cubic Unit Cell 3D Metamaterial Layers , 2010, Advanced materials.

[8]  D. Tsai,et al.  Micromachined tunable metamaterials: a review , 2012 .

[9]  Ta-Jen Yen,et al.  Creating negative refractive identity via single-dielectric resonators. , 2009, Optics express.

[10]  Experimental verification of isotropic and polarization properties of high permittivity-based metamaterial , 2009 .

[11]  John B. Pendry,et al.  Photonic band-gap effects and magnetic activity in dielectric composites , 2002 .

[12]  Bo Li,et al.  Experimental demonstration of isotropic negative permeability in a three-dimensional dielectric composite. , 2008, Physical review letters.

[13]  Steven A Cummer,et al.  Compact dielectric particles as a building block for low-loss magnetic metamaterials. , 2008, Physical review letters.

[14]  Willie J Padilla,et al.  Terahertz Magnetic Response from Artificial Materials , 2004, Science.

[15]  Lixin Ran,et al.  Experimental observation of left-handed behavior in an array of standard dielectric resonators. , 2007, Physical review letters.

[16]  Jiafu Wang,et al.  Experimental realization of all-dielectric composite cubes/rods left-handed metamaterial , 2011 .

[17]  E. Maciá.  Exploiting aperiodic designs in nanophotonic devices , 2012, Reports on progress in physics. Physical Society.

[18]  Mie resonance based left-handed metamaterial in the visible frequency range , 2011 .

[19]  C. Holloway,et al.  A double negative (DNG) composite medium composed of magnetodielectric spherical particles embedded in a matrix , 2003 .

[20]  Qiang Cheng,et al.  Controlling electromagnetic waves using tunable gradient dielectric metamaterial lens , 2008 .

[21]  D. Smith,et al.  Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients , 2001, physics/0111203.

[22]  Harald Giessen,et al.  Coupling Effects in Optical Metamaterials , 2011 .

[23]  Isotropic three-dimensional left-handed metamaterials , 2005, cond-mat/0504348.

[24]  J. Ganne,et al.  Experimental measurement of negative index in an all-dielectric metamaterial , 2009 .

[25]  Ewold Verhagen,et al.  Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays. , 2009, Physical review letters.

[26]  J. Stewart Aitchison,et al.  Coupled magnetic dipole resonances in sub-wavelength dielectric particle clusters , 2010 .

[27]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[28]  D. R. Smith,et al.  Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials , 2004, cond-mat/0411590.

[29]  L. Sengupta,et al.  Breakthrough advances in low loss, tunable dielectric materials , 1999 .

[30]  Toralf Scharf,et al.  Design of an artificial three-dimensional composite metamaterial with magnetic resonances in the visible range of the electromagnetic spectrum. , 2007, Physical review letters.

[31]  Y. Meng,et al.  Tunable negative permeability in an isotropic dielectric composite , 2008 .

[32]  I. Vendik,et al.  3D isotropic metamaterial based on a regular array of resonant dielectric spherical inclusions , 2009 .

[33]  Xiaojian Fu,et al.  ARTIFICIAL MAGNETIC PROPERTIES OF DIELECTRIC METAMATERIALS IN TERMS OF EFFECTIVE CIRCUIT MODEL , 2011 .

[34]  Jin Au Kong,et al.  Robust method to retrieve the constitutive effective parameters of metamaterials. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[35]  Patrick Mounaix,et al.  Tunable terahertz metamaterials with negative permeability , 2009 .

[36]  J. Stewart Aitchison,et al.  Three-dimensional array of dielectric spheres with an isotropic negative permeability at infrared frequencies , 2005 .

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