  We demonstrate experimentally and theoretically that a coherent image of a
pure phase object may be obtained by use of a spatially incoherent illumination
beam. This is accomplished by employing a two-beam source of entangled photons
generated by spontaneous parametric down-conversion. Though each of the beams
is, in and of itself, spatially incoherent, the pair of beams exhibits
higher-order inter-beam coherence. One of the beams probes the phase object
while the other is scanned. The image is recorded by measuring the photon
coincidence rate using a photon-counting detector in each beam. Using a
reflection configuration, we successfully imaged a phase object implemented by
a MEMS micro-mirror array. The experimental results are in accord with
theoretical predictions.
