Effective parameters of resonant negative refractive index metamaterials : interpretation and validity

We present a numerical study of resonant negative refractive index (NRI) metamaterials in which their effective parameters are calculated. For a periodic media consisting of split-ring resonators and metallic wires the effective refractive index is compared by means of two different methods. The first one is an inversion procedure in which the effective refractive index is calculated from the reflection and transmission coefficients of a finite structure and the second one consists its calculation from the phase velocity issued from the dispersion diagram. A significant difference between the two cases is highlighted in the frequency interval of interest (NRI regime) and for the finite media, counterintuitive observations are made. These anomalous features are observed in a frequency range in which there is a non-negligible contribution of the higher-order modes to propagation inside the periodic metamaterial. Hence in this particular frequency interval, the media cannot be described by an effective refra...

[1]  T. Itoh,et al.  Composite right/left-handed transmission line metamaterials , 2004, IEEE Microwave Magazine.

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

[3]  Generalized emissivity inverse problem. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  I. Chuang,et al.  Experimental observations of a left-handed material that obeys Snell's law. , 2003, Physical review letters.

[5]  R. Ziolkowski.  Design, fabrication, and testing of double negative metamaterials , 2003 .

[6]  Stewart,et al.  Extremely low frequency plasmons in metallic mesostructures. , 1996, Physical review letters.

[7]  E. M. Lifshitz,et al.  Electrodynamics of continuous media , 1961 .

[8]  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.

[9]  R. Ziolkowski,et al.  Wave propagation in media having negative permittivity and permeability. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  R. Greegor,et al.  Experimental verification and simulation of negative index of refraction using Snell's law. , 2003, Physical review letters.

[11]  Z. Cendes,et al.  Plane wave scattering from frequency-selective surfaces by the finite-element method , 2002 .

[12]  Claudio G. Parazzoli,et al.  Free-space focused-beam characterization of left-handed materials , 2003 .

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

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

[15]  Olivier Acher,et al.  Fresnel coefficients at an interface with a lamellar composite material , 2000 .

[16]  Rolf Schuhmann,et al.  Ab initio numerical simulation of left-handed metamaterials: Comparison of calculations and experiments , 2001 .

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

[18]  Claudio G. Parazzoli,et al.  Origin of dissipative losses in negative index of refraction materials , 2003 .

[19]  Peter Markos,et al.  Transmission properties and effective electromagnetic parameters of double negative metamaterials. , 2003, Optics express.

[20]  J. Pendry,et al.  Magnetic activity at infrared frequencies in structured metallic photonic crystals , 2002 .