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Reviews in fluorescence

Developments in the Photonic Theory of Fluorescence

Jamie M. Leeder, David S. Bradshaw, Mathew D. Williams, Davıd L. Andrews

Published Dec 17, 2015• 0 citations
Publisher
DOI
10.1007/978-3-319-24609-3_10

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We present a formalism for the description of fluorescence from optically active materials embedded in a photonic crystal structure possessing a photonic band gap or pseudogap. An electromagnetic field expansion in terms of Bloch modes of the crystal is used to develop the equations for fluorescence in terms of the local density of photon modes available to the emitting atoms in either the high or low dielectric regions of the crystal. We then obtain expressions for fluorescence spectra and emission dynamics for luminescent materials in photonic crystals. The validity of our formalism is demonstrated through the calculation of relevant quantities for model photon densities of states. The connection of our calculations to the description of realistic systems is discussed. We also describe the consequences of these analyses on the accurate description of the interaction between radiative systems and the electromagnetic reservoir within photonic crystals.
Integrated nonlinear optic devices for generation of twin photon beams are expected to be a key device for the development of quantum information techniques. This paper presents a systematic quantum theory analysis on generation of twin photons by parametric fluorescence and properties of the twin photon beams. The analysis uses multimode-pair description including phase mismatched cases. Full description of the quantum states of the twin photon beams is obtained. Mathematical expressions for photon numbers, photon beam powers, efficiency, wavelength bandwidth, and photon correlation are deduced. Numerical data are given for several types degenerate and nondegenerate quasi-phase matched LiNbO/sub 3/ waveguide twin-photon generation devices.