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We develop a fully spatio-temporal numerical model, based on stochasticsimulations, simulating the generation of spatio-temporal multimode spontaneousparametric down conversion, the propagation of the signal and idler beamsthrough a Hong-Ou-Mandel interferometer and the detection of the outgoing beamswith two separate detectors arrays. Spatial and temporal properties of thetwo-photon interference are investigated by measuring the spatial distributionof the momenta coincidence counts between the time integrated outgoingfar-field images and a full spatio-temporal HOM dip is exhibited. Numericalresults also demonstrate that the spatio-temporal coherence properties ofbi-photon wave packets can be fully characterized with detectors arrays with notemporal resolution.

Stochastic numerical simulations of a fully spatio-temporal Hong-Ou-Mandel dip