English

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

Optics 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.physics/0501163,
  title  = {A comprehensive Fourier (k-) space design approach for controllable single and multiple photon localization states},
  author = {Subhasish Chakraborty1 and Michael C. Parker2 and Robert J. Mears3 and David G Hasko1},
  journal= {arXiv preprint arXiv:physics/0501163},
  year   = {2007}
}

Comments

11 pages

R2 v1 2026-07-22T19:02:41.864Z