title: 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 (2D) crystal. We then address a planar (2D crystal with finite thickness) structure using numerical techniques.
authors.affiliation: Institute for Quantum Information, Mail Code 12-33, California Institute of Technology, Pasadena 91125, USA. jgeremia@Caltech.EDU
authors.forename: J M
authors.initials: JM
authors.lastname: Geremia
authors.forename: Jon
authors.initials: J
authors.lastname: Williams
authors.forename: Hideo
authors.initials: H
authors.lastname: Mabuchi