I would appreciate if the explanation didn't derive this phenomenon using Malsus' Law exclusively and would go into the horizontal and vertical components of polarized light, and how the blocking of the horizontal components results in a halved intensity...so more of a geometric explanation would be preferable. Also, if this has anything to do with it, as I understand it the amplitude of an polarized wave after passing through a polarizer is equal to cosθ where θ is the angle at which the wave is being polarized, and I don't quite understand why this is. On top of this amplitude squared is proportional to intensity, making the intensity then cosθ squared, the average of which is somehow 1/2. If this all ties into the geometric explanation please let me know. Also, how would I justify that the intesity is halved using a diagram?