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We report the experimental observation of a spatio-temporal Hong-Ou-Mandel(HOM) interference of bi-photon states of extremely high Schmidt number.Two-photon interference of 1500 spatial modes and a total of more than 3x10^6spatio-temporal modes is evidenced by measuring momentum spatial coincidencesbetween the pixels of the far-field images of two strongly multimodespontaneous parametric down conversion (SPDC) beams propagating through a HOMinterferometer. The outgoing SPDC beams are recorded onto two separatedetectors arrays operating in the photon-counting regime. The properties of HOMinterference are investigated both in the time and space domains. We show thatthe two-photon interferences exhibit temporal and two-dimensional spatial HOMdips with visibilities of 30% and widths in good agreement with thespatio-temporal coherence properties of the bi-photon state. Moreover, wedemonstrate that a peak of momentum spatial coincidences is evidenced insideeach image, in correspondence with this dip.

Imaging spatio-temporal Hong-Ou-Mandel interference of bi-photon state of extremely high Schmidt number