Inverse-problem approach to designing photonic crystals for cavity QED experiments.
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.
Geremia
J M
JM
Institute for Quantum Information, Mail Code 12-33, California Institute of Technology, Pasadena 91125, USA. jgeremia@Caltech.EDU
Williams
Jon
J
Mabuchi
Hideo
H