Two Polaroids are along the z axis as shown in the figure. The planes of the Pol

Question

Two Polaroids are along the z axis as shown in the figure. The planes of the Polaroids are parallel to the xy plane. The polarizing direction is shown as a thick line, at angles theta_1 and theta_2 relative to the x axis, respectively. Unpolarized light of intensity I_0 shines on polarizer 1 from the left. After going through the first Polaroid, the intensity is I_s. After going through the second Polaroid, the intensity is I_2. If theta_1 = 30 degree, what is the ratio I_1/I_0? If theta_2 = 61 degree, what is the ratio I_2/I_1?

Explanation / Answer

part 1 )

I1 = Io/2

I1/Io = 1/2

part 2 )

theta = 61-30 = 31

I2 = I1cos^2theta

I2/I1 = cos^2theta

I2/I1 = cos^31

I2/I1 = 0.7347

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