Originally posted by: PCTC2
The patterns are just how they are manufactured or applied. It could be a variation of thickness of something (either the application or the film itself) that causes a phase shift in the light.
Light is a wave (and a particle, but for polarization, we can ignore this physical property). The electric field part is a sinusoidal wave, with the magnetic field part at a 90 degree angle. Polarization, we can ignore everything except for the electric field. Say you have a ray of light with the electric field in the Y axis. If you did't know, light travels slower in a material (such as water or soap or glass), than it does in a vacuum. When light hits the film (which has an index of refraction (n), which determines refraction entering the material and the speed of light (c/n), greater than 1), it gets phase shifted (sinusoidal wave) by pi. So picture a sinusoidal wave suddenly shifted by pi. When it enters the film and is reflected back from the glass, depending on the thickness, when reflected, it will either be aligned with the reflected wave or not. This is constructive (aligned) or destructive (unaligned by pi) interference. Same think would happen for the adhesive layer (if there is a small layer of air), and the glass, to a smaller degree. I don't know how tints are manufactured, but when you look through polarized glasses that are polarized in the Y axis, you only get light in the Y axis. This removes a lot of randomized reflections so you can possibly notice this effect more than without polarized glasses.
Notice, the rules of light and polarization are correct here, but I don't know enough about window tints and their manufacture and application to know what part causes the pattern. Anything about the patterns is pure speculation.