Incoherent bar images formed by a polarizing microscope with crossed polarizers

Diffraction images of incoherent bar objects formed by a polarizing microscope with crossed polarizers are studied. Expression for intensity distribution has been derived and the results in the form of curves have been plotted. The images which are of unusual shape, different from the patterns formed by the ordinary microscope are strongly dependent upon the size of the bar/coherence parameter. The line spread function can be obtained by taking a very narrow bar.