Stimulated parametric down-conversion for spatiotemporal metrology

A detailed analysis of the stimulated parametric down-conversion (PDC) process is performed to investigate effects spatiotemporal degrees freedom. The provides information that would be useful for PDC-based metrology applications. Using a Wigner functional approach, we obtain down-converted state as Bogoliubov transformed input in terms kernel functions. result used consider case coherent-state seeding PDC. We also compute background which obtained from spontaneous