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Intensity of unpolarized light always halved and it does not depend on the polarizer orientation. Thus we write I_u/2. Linearly polarized light passes through polarizer without change when direction of polarizer's axis and polarization of light coincide, thus we add I_p to I_u/2 to obtain I_max. And when polarizer's axis and polarization of light are orthogonal, polarized light does not pass through polarizer. So we write I_min = 0 + I_u/2 = I_u/2.
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