A comprehensive Fourier (k-) space design approach for controllable single and multiple photon localization states

Details A comprehensive Fourier (k-) space design approach for controllable single and multiple photon localization states A comprehensive Fourier (k-) space design approach for controllable single and multiple photon localization states

2005-01-31

arxiv.org/abs/physics/0501163v1

Physics

Optics

11 pages

Scientific paper

A Fourier-space based design approach for the systematic control of single and multiple photon localization states in a 1D lattice is presented. Resultant lattices are aperiodic in nature, such that lattice periodicity is not a useful optimization parameter to achieve novel field localization characteristics. Instead, direct control of field localization comes via control of the Parseval strength competition between the different Fourier components characterizing a lattice. This is achieved via an inverse optimization algorithm, tailoring the aperiodic lattice Fourier components to match that of a target Fourier distribution appropriate for the desired photonic localization properties. We present simulation results indicating the performance of a novel aperiodic lattice exhibiting a doubly-resonant high-Q characteristic.

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