We present a numerical and experimental study of the dispersion relation and propagation properties of bound
surface waves on a meta-surface consisting of a single layer array of split ring resonators. Furthermore, we
introduce an analytic model that allows one to determine the influence of nonlinear effects on the temporal
dynamics of a coupled system composed of a split ring resonator metamaterial and a two-level atomic gain
medium.
Recently the fundamentals of photonic crystal physics have experienced a revival due to investigations on new structures
possessing properties such as selfwaveguiding and negative refraction. In this communication we present a theory that
gives account of observed total internal reflection beam shifts on the surface of a selfwaveguiding crystal and compare
its analogy and differences with the classical Goos-Hanchen shift. We also investigate the phenomenon of surface wave
resonance excitation in slabs of these arrays as well as those capable of producing images through negative refraction
when cut in a slab shape. A discussion is made of the dispersion relation of these surface waves on comparison with
those of both metals and left handed materials, and its consequences for obtaining superfocusing.
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