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Engineering Dispersion Properties of Photonic Crystals for Spatial Beam Routing and Non-Channel Waveguiding

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Abstract

In this research we present various implementations of novel photonic devices using photonic crystals, by engineering the dispersive properties of these periodic structures in a region outside the bandgap. Applications such as spatial beam routing can be attained through careful optimization of various Equi-Frequency Contours. The remarkable difference for the non-conventional-circular-shaped EFC in PhCs opens up a new dimension for the dispersion engineering of wide planar devices and applications based on the shape of the EFC obtained. Circular, square, star, or hexagonal are various possible shapes of EFC that can be achieved and/or engineered. For certain applications specific EFC shapes can be optimal while others are not. In addition to non-channel waveguiding through the periodic structure with sharp bends. We further present reverse engineering of the periodic structures dispersive properties to design various lattice arrangements. Numerical analyses were performed using both plane-wave expansion method as well as the FDTD method.

© 2003 Optical Society of America

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