I had some one contact me about the effects of tilting a polarized lens. The patient said that the tilted lenses were not as effective as his regular polarized lenses. So I got to thinking (I know I'll try not to hurt myself). If we are compensateing the Rx for the effects of tilt, wouldn't we need to further compensate the axis of the polarized filter in the wrap. Here's an example:
I = intensity of light through the lens
Io = initial intensity
a = angle between the light entering and the polarized ray leaving the lens
I = Iocos2(a)
Since we are blocking glare from above and below or alighned on the 90th meridian the initial intensity would be canceled out due to the cosine of 90 being "0" and the rays aligned with the 180th meridian would be 100% as the cosine of 180 is "-1" then squared it's "1". Assuming we live in a perfect world and their would be no absorbtion through the fiter and it's 100% effective. If we were to tilt the polarized film would we need to apply compensations to Malus' Law similar to power?
Would using stokes parameters and applying some sort of compensation to the vector a good way to approach it? Could it be compensated for? Does the tilt effect the film?