This is a standard technique known as
Nomarski microscopy. It was originally developed to see grain structure in metals. I have a very nice Olympus Nomarski microscope at work I use to look at integrated circuit structures. I can use the polarizers to highlight different layers inside the IC looking through the Silicon Nitride or Silicon Dioxide (depending on the technology) to see details of components in the IC. Optimum performance depends on both the absolute polarization of the illumination and the polarization of the analyzer.
I have thought about adding the capability to my Bausch and Lomb Stero Zoom in my home lab. After seeing this video I feel motivated to do it.
I already have many polarizers for
my cameras. I just need the appropriate step-up ring to fit one of my polarizers to my microscope and some polarizing film (which I think I may have) for my illumination.
I don't remember you touching on the type of polarizer. Older polarizers for manual focus cameras are typically linear. Newer polarizrs that are compatible with autofocus cameras are circular. Every Nomarski microscope I have used has linear polarizers. I would expect linear polarizers to work better for this, but I have no experience trying circular polarizers on microscopes.
Chris