Determination of the effective constitutive parameters of bianisotropic metamaterials from reflection and transmission coefficients.

We propose a method to retrieve the effective constitutive parameters of a slab of bianisotropic metamaterial from reflection and transmission coefficients (or scattering parameters). In our retrieval method, only the scattering parameters in one propagation direction are used. Analytical inversion equations are derived in order to retrieve the effective parameters of the permittivity, permeability, and magnetoelectric coupling coefficient of the bianisotropic metamaterial. To demonstrate the validity of the method, we used it to retrieve the parameters of four different metamaterials, among which two were normal media without bianisotropy and the other two were bianisotropic media. In using our retrieval method, including bianisotropy, the intrinsic differences between a normal medium and a bianisotropic medium were illustrated clearly. Our simulation and retrieval results also corroborate the conclusions of the previously published literature.

[1]  V. Veselago,et al.  Электродинамика веществ с одновременно отрицательными значениями ε и μ , 1967 .

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

[3]  David R. Smith,et al.  Electromagnetic parameter retrieval from inhomogeneous metamaterials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  D. Smith,et al.  Resonant and antiresonant frequency dependence of the effective parameters of metamaterials. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Jin Au Kong,et al.  Retrieval of the effective constitutive parameters of bianisotropic metamaterials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

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

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

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

[9]  J. Pendry,et al.  Low frequency plasmons in thin-wire structures , 1998 .

[10]  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.

[11]  J. Kong.  Electromagnetic Wave Theory , 1986 .

[12]  Sergei A. Tretyakov,et al.  Bianisotropic route to the realization and matching of backward-wave metamaterial slabs , 2007 .

[13]  M. Kafesaki,et al.  Electric coupling to the magnetic resonance of split ring resonators , 2004 .

[14]  Francisco Medina,et al.  Role of bianisotropy in negative permeability and left-handed metamaterials , 2002 .

[15]  V. Veselago.  The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[16]  M. Kafesaki,et al.  Experimental observation of true left-handed transmission peaks in metamaterials. , 2004, Optics letters.

[17]  Steven A. Cummer,et al.  Determining the effective electromagnetic properties of negative-refractive-index metamaterials from internal fields , 2005 .

[18]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.