Heisenberg uncertainty principle and ghost images

The experiment to verify the adequacy of Heisenberg uncertainty principle, proposed by Karl Popper and implemented in practice, is considered. As in the Einstein-Podolsky-Rosen paradox, the quantum properties of a entangle pair of elementary particles is used. In this case, a ghost image of a narrow gap is formed in fact. The results of the experiment, at first glance, testify in favor of violation of the uncertainty principle. But the analysis of of the gap ghost image spatial resolution shows, that it is not so. A more correct description of diffraction in the case of spatially limited light beams, gives not violations of the uncertainty principle. The results are also can be used to estimate the extreme quality of diffraction limited ghost images.