Parametric down-conversion from a wave-equations approach: geometry and absolute brightness

Details Parametric down-conversion from a wave-equations approach: geometry and absolute brightness Parametric down-conversion from a wave-equations approach: geometry and absolute brightness

2008-07-22

arxiv.org/abs/0807.3533v3

Physics

Quantum Physics

10 pages, no figures

Scientific paper

Using the approach of coupled wave equations, we consider spontaneous parametric down-conversion (SPDC) in the narrow-band regime and its relationship to classical nonlinear processes such as sum-frequency generation. We find simple expressions in terms of mode overlap integrals for the absolute pair production rate into single spatial modes, and simple relationships between the efficiencies of the classical and quantum processes. The results, obtained with Green function techniques, are not specific to any geometry or nonlinear crystal. The theory is applied to both degenerate and non-degenerate SPDC. We also find a time-domain expression for the correlation function between filtered signal and idler fields.

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