Multimode Theory of Up-Conversion of Two Photons
Masatoshi Nakatani, Ryōsuke Shimizu, Kazuki Koshino · Journal of the Physical Society of Japan · 2009
The up-conversion dynamics of two photons in a three-level system is investigated theoretically. The analysis is based on a rigorous formalism that incorporates the multimode nature of the photon field, enabling quantitative handling of the spatial profiles of the photon pulses. We have derived an analytic formula that connects the wavefunction of two input photons to that of an up-converted output photon. The up-conversion efficiency and the output pulse profile are numerically calculated using this formula.