I have noticed that the ability of light from a second polarized filter to pass through a differently oriented third filter depends in part on the orientation of the first, or prior, filter. Up to this point I was under the impression that, as per quantum theory, only the cosine of the angle between the second and third filter orientations determines the percentage of light passing through the third filter. What I have seen must have been observed by others but I can not find anything describing this affect.

An example would be: if filter #1 is at 90 deg., and filter #2 is at 45 deg., substantially more light can pas through filter #3 if it is at 90 deg. rather than 0 deg. This effect can be multiplied if #1 is 90 deg., #2 is 45 deg., #3 is 90 deg., #4 is 45 deg.. Then the ratio of light passing through #5 at 90 deg. to #5 at 0 deg. is even greater. This can be reversed if #3 is changed to 0 deg. but the total amount of light passing in this set will be much less than the previous one.

If this turns out to be something new I will be back with more details. However, I expect that someone will inform me that this is the such and such affect and here is the formula for calculating it. But sense I couldn't find it on my own I felt compelled to ask.