title: Radiating dipoles in photonic crystals
abstract: The radiation dynamics of a dipole antenna embedded in a photonic crystal are modeled by an initially excited harmonic oscillator coupled to a non-Markovian bath of harmonic oscillators representing the colored electromagnetic vacuum within the crystal. Realistic coupling constants based on the natural modes of the photonic crystal, i.e., Bloch waves and their associated dispersion relation, are derived. For simple model systems, well-known results such as decay times and emission spectra are reproduced. This approach enables direct incorporation of realistic band structure computations into studies of radiative emission from atoms and molecules within photonic crystals. We therefore provide a predictive and interpretative tool for experiments in both the microwave and optical regimes.
authors.affiliation: Department of Physics, University of Toronto, 60 St. George Street, Toronto, Ontario, Canada M5S 1A7 and Institut fur Theorie der Kondensierten Materie, Universitat Karlsruhe, P.O. Box 6980, 76128 Karlsruhe, Germany.
authors.initials: K
authors.lastname: Busch
authors.initials: N
authors.lastname: Vats
authors.initials: S
authors.lastname: John
authors.initials: BC
authors.lastname: Sanders