{ "id": "quant-ph/0206094", "version": "v1", "published": "2002-06-14T03:26:44.000Z", "updated": "2002-06-14T03:26:44.000Z", "title": "An Inverse-Problem Approach to Designing Photonic Crystals for Cavity QED Experiments", "authors": [ "JM Geremia", "Jon Williams", "Hideo Mabuchi" ], "comment": "12 pages, 8 figures, preprint available from http://minty.caltech.edu/MabuchiLab", "doi": "10.1103/PhysRevE.66.066606", "categories": [ "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-06-14T03:26:44.000Z" } ], "analyses": { "keywords": [ "cavity qed experiments", "designing photonic crystals", "inverse-problem approach", "photonic band gap materials", "significant design challenges" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }