Metawaveguides formed by arrays of small resonant particles over a ground plane

As a step towards designing nanoscaled waveguides with desired properties we introduce a periodic arrangement of longitudinally directed resonant dipole particles over a conducting plane and study waveguiding properties of this system. Depending on the operational frequency range, the dipoles may be plasmon resonant particles (optics) or small loaded wire antennas (microwaves). The particles are positioned along a straight line and are close to each other, forming a coupled dipole array. An analytical solution for waves propagating along this 'metawaveguide' is presented and conditions for guided-wave solutions are established. The properties of this waveguiding structure can be tuned by varying the electromagnetic parameters of the particles. Slow and backward-wave ('left-handed') solutions are possible in particular cases.

[1]  Txema Lopetegi,et al.  1‐D and 2‐D photonic bandgap microstrip structures , 1999 .

[2]  R. Collin.  Field theory of guided waves , 1960 .

[3]  Sergei A. Tretyakov,et al.  Modelling and Microwave Properties of Artificial Materials with Negative Parameters , 2002 .

[4]  F. Falcone,et al.  Left handed coplanar waveguide band pass filters based on bi-layer split ring resonators , 2004, IEEE Microwave and Wireless Components Letters.

[5]  Sergei A. Tretyakov,et al.  Full-wave interaction field in two-dimensional arrays of dipole scatterers , 1999 .

[6]  T. Itoh,et al.  Transmission line approach of left-handed (LH) materials and microstrip implementation of an artificial LH transmission line , 2004, IEEE Transactions on Antennas and Propagation.

[7]  George V. Eleftheriades,et al.  Periodically loaded transmission line with effective negative refractive index and negative group velocity , 2003 .

[8]  S. Tretyakov.  Analytical Modeling in Applied Electromagnetics , 2003 .

[9]  Arthur D. Yaghjian,et al.  Scattering-matrix analysis of linear periodic arrays , 2002 .

[10]  George V. Eleftheriades,et al.  Negative refraction, growing evanescent waves, and sub-diffraction imaging in loaded transmission-line metamaterials , 2003 .

[12]  R. Mittra,et al.  Superdirective radiation from finite gratings of rectangular grooves , 1999 .

[13]  John B. Pendry,et al.  Focus Issue: Negative Refraction and Metamaterials , 2003 .

[14]  V. Veremey,et al.  Superdirective antennas with passive reflectors , 1995 .

[15]  George V. Eleftheriades,et al.  Corrections to “Negative Refraction, Growing Evanescent Waves, and Sub-Diffraction Imaging in Loaded Transmission-Line Metamaterials” , 2004 .

[16]  Txema Lopetegi,et al.  ANALYSIS AND DESIGN OF 1-D PHOTONIC BANDGAP MICROSTRIP STRUCTURES USING A FIBER GRATING MODEL , 1999 .

[17]  J. Bonache,et al.  Miniaturized coplanar waveguide stop band filters based on multiple tuned split ring resonators , 2003, IEEE Microwave and Wireless Components Letters.

[18]  Sergei A. Tretyakov,et al.  Line of periodically arranged passive dipole scatterers , 2000 .