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

JM Geremia·Jon Williams·Hideo Mabuchi
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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.

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JM Geremia, Jon Williams, Hideo Mabuchi. 2002-06-14. An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments. https://doi.org/10.1103/physreve.66.066606

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