139 long ago that, when an extended source of unpolarised light is
viewed through a highly dichroic crystalline plate cut normal to one of
the optic axes, two dark brushes-the BREWSTER'S brushes-are seen. In the
interference between crossed polaroids the dark isogyres do not in
general pass through the optic axial directions as they do in the case
of transparent crystals. These phenomena can be broadly explained using
the approximate theory mentioned in Sect. 43 where the waves propagated
along any direction are taken to be linearly polarised. We have seen
however that according to the rigorous theory the two waves are really
elliptically polarised with non-orthogonal states. Corresponding to this
we meet with phenomena which have no parallel whatsoever in the case of
trans- parent crystals. Thus, if the incident light is polarised, then
even without an analyser behind the plate, feeble interference
phenomena-the idiophanic rings- are seen. These arise because the two
beams into which the incident light is decomposed along any direction
can directly interfere with one another as they are not orthogonally
polarised. More striking is the fact that, with an analyser behind the
plate, idiophanic interference rings appear even with the incident light
completely unpolarised. The explanation of this phenomenon leads us to
the concept of the partial coherence between the component
non-orthogonal beams into which the incident unpolarised light is split.