Periodically loaded transmission line with effective negative refractive index and negative group velocity

We present the design and implementation of a periodically loaded transmission line, which simultaneously exhibits negative refractive index (NRI) and negative group delay (and, hence, negative group velocity). This is achieved by loading the transmission line in series with capacitors and RLC resonators and in shunt with inductors. We discuss the dispersion characteristics of such a medium and identify the frequency bands of NRI and negative group delay. The structures are theoretically studied using S-parameters simulations on truncated loaded transmission lines of different lengths, and the predicted results are compared to the measured scattering parameters of such lines printed on circuit boards using coplanar waveguide technology.

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

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

[3]  George V. Eleftheriades,et al.  Abnormal wave propagation in passive media , 2003 .

[4]  C. Garrett,et al.  Propagation of a Gaussian Light Pulse through an Anomalous Dispersion Medium , 1970 .

[5]  L. Brillouin Wave propagation in periodic structures : electric filters and crystal lattices , 1953 .

[6]  George V. Eleftheriades,et al.  A backward-wave antenna based on negative refractive index L-C networks , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

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

[8]  Nicholas Chako,et al.  Wave propagation and group velocity , 1960 .

[9]  M. Mojahedi,et al.  Time-domain measurement of negative group delay in negative-refractive-index transmission-line metamaterials , 2004, IEEE Transactions on Microwave Theory and Techniques.

[10]  A. Papoulis,et al.  The Fourier Integral and Its Applications , 1963 .

[11]  G. Eleftheriades,et al.  Planar negative refractive index media using periodically L-C loaded transmission lines , 2002 .

[12]  David R. Smith,et al.  Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial , 2001 .

[13]  R. Fox,et al.  Classical Electrodynamics, 3rd ed. , 1999 .

[14]  E. Schamiloglu,et al.  Frequency-domain detection of superluminal group velocity in a distributed Bragg reflector , 2000, IEEE Journal of Quantum Electronics.

[15]  Rolf Landauer,et al.  Traversal Time for Tunneling , 1985 .

[16]  A. Grbic,et al.  Experimental verification of backward-wave radiation from a negative refractive index metamaterial , 2002 .

[17]  E. Schamiloglu,et al.  Time-domain detection of superluminal group velocity for single microwave pulses , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.

[19]  Garrison,et al.  Optical pulse propagation at negative group velocities due to a nearby gain line. , 1994, Physical review. A, Atomic, molecular, and optical physics.

[20]  Garrison,et al.  Two theorems for the group velocity in dispersive media. , 1993, Physical review. A, Atomic, molecular, and optical physics.

[21]  Steven Chu,et al.  Linear Pulse Propagation in an Absorbing Medium , 1982 .

[22]  Aephraim M. Steinberg,et al.  VI: Tunneling Times and Superluminality , 1997 .

[23]  S. Ramo,et al.  Fields and Waves in Communication Electronics , 1966 .

[24]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[25]  G. Eleftheriades,et al.  Transmission line models for negative refractive index media and associated implementations without excess resonators , 2003, IEEE Microwave and Wireless Components Letters.

[26]  G. Eleftheriades,et al.  Negative refractive index metamaterials supporting 2-D waves , 2002, IEEE MTT-S International Microwave Symposium Digest.

[27]  Mártin,et al.  Time delay of evanescent electromagnetic waves and the analogy to particle tunneling. , 1992, Physical review. A, Atomic, molecular, and optical physics.