In the last year's meeting we reported a novel approach for stabilization of numerical calculation of plasmonic
propagation band structure. This method enables us to precisely obtain the propagation modes of periodically patterned
two-dimensional conducting sheets, with arbitrarily high order of spatial harmonic content. Following the above
contribution, we here present successful construction of a periodic fractal structure based on the combination of square
array of wires and the space-filling Hilbert curves, leading to very large plasmonic gaps in the propagation spectrum.
Different parameters affecting that gap, and the way to control each of them will be presented. Possible applications will
be discussed.
The need for antennas with improved characteristics for communication and radar applications has resulted in an ever-increasing
demand for research in the field of high impedance surfaces, which can work as an artificial magnetic
conductor. One method in fabrication of these surfaces is formation of a metamaterial by patterning a metallic surface in
the shape of space filling curves (e.g. Hilbert or Peanu Curves). In this paper, we present a novel semi-analytical solution
to the problem of plasmonic propagation on these surfaces. The method is based on a previously presented Green's
function formalism, which has been reported in an earlier paper of ours. We have modified and improved the method for
analysis of periodic structures with a large number of spatial harmonics, and used different methods to get the necessary
stabilization. Here propagating modes of different structures and their corresponding frequencies are calculated, and the
possibility of frequency gap formation and stability of the method are investigated.
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