Abstract
In this work, we studied theoretically the image formation of an object when illuminated by at least one of the photons generated by the process of spontaneous parametric down-conversion (SPDC). In the process of SPDC, a pump (p) laser beam incident upon a nonlinear crystal creates a pair of photons, usually called signal (s) and idler (i). The number of detected coincident photons is proportional to the spatial quantum fourth-order correlation function , calculated at the detectors transverse positions and . The light state |Ψ〉 generated by SPDC is written in the paraxial, monochromatic (∆ ωj(frequency bandwidth)<< ωj (frequency), j = s, i, p), and thin crystal approximation. All information about the object and the lenses are contained in the signal and idler electric field operators. The fourth-order correlation function can be rewritten as where is the probability amplitude for detecting the signal and idler photons at the image plane at transverse positions and , respectively.
© 2003 Optical Society of America
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