An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments
Abstract
Photonic band gap (PBG) materials are attractive for cavity QED experiments because they provide extremely small mode volumes and are monolithic, integratable structures. As such, PBG cavities are a promising alternative to Fabry-Perot resonators. However, the cavity requirements imposed by QED experiments, such as the need for high Q (low cavity damping) and small mode volumes, present significant design challenges for photonic band gap materials. Here, we pose the PBG design problem as a mathematical inversion and provide an analytical solution for a two-dimensional crystal. We then address a planar (2D crystal with finite thickness) structure using numerical techniques.
Cite
@article{arxiv.quant-ph/0206094,
title = {An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments},
author = {JM Geremia and Jon Williams and Hideo Mabuchi},
journal= {arXiv preprint arXiv:quant-ph/0206094},
year = {2009}
}
Comments
12 pages, 8 figures, preprint available from http://minty.caltech.edu/MabuchiLab