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2 August 2004 Complex waveguides in a left-handed world
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The evidence that double negative media, with an effective negative permittivity, and an effective negative permeability, can be manufactured to operate at frequencies ranging from microwave to optical is ushering in a new era of metamaterials. They are referred to here as 'left-handed', even though a variety of names is evident from the literature. In anticipation of a demand for highly structured integrated practical waveguides, this paper addresses the impact of this type of medium upon waveguides that can be also nonlinear. A planar guide is investigated first, in which the waveguide is a slab consisting of a double negative medium, sandwiched between a substrate and cladding that are simple dielectrics. The TE modes are addressed because they lend themselves to accurate analysis when the substrate and cladding display a Kerr-type nonlinear response. Because of the nonlinear properties of the Kerr media, the power flow direction can be controlled by the intensity of the electric field. The rest of the paper addresses a comprehensive finite difference- time-domain analysis. It uses spatial soliton behaviour in the advanced example section. An interesting soliton-lens arrangement is presented that deploys positive and negative slabs to create a novel cancellation effect.
© (2004) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Allan Dawson Boardman, Peter Egan, Larry Velasco, and Neil King "Complex waveguides in a left-handed world", Proc. SPIE 5508, Complex Mediums V: Light and Complexity, (2 August 2004);


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