An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments

Details An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments

2002-06-14

arxiv.org/abs/quant-ph/0206094v1

Physics

Quantum Physics

12 pages, 8 figures, preprint available from http://minty.caltech.edu/MabuchiLab

Scientific paper

10.1103/PhysRevE.66.066606

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.

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