Linearly polarized light is transmitted through two polarizers as shown in the figure. The light is polarized in the y-direction. The axis of the first polarizer is at θ1 = 22° to the y-direction. The axis of the second polarizer is at θ2 = 46° to the y-direction. The intensity of the initial beam of polarized light is I0. (a) Express the intensity of the light after it passes through the first polarizer, I1, in terms of I0, and θ1. (b) Express the intensity of the light after it passes through the second polarizer, I2, in terms of I1, Δθ12, where Δθ12 = θ2 - θ1. (c) If f is the fraction of the light transmitted through the two polarizers, express f in terms of θ1 and Δθ12, where Δθ12 = θ2 - θ1. d) Solve for the numerical value of f
Linearly polarized light is transmitted through two polarizers as shown in the figure. The light is polarized in the y-direction. The axis of the first polarizer is at θ1 = 22° to the y-direction. The axis of the second polarizer is at θ2 = 46° to the y-direction. The intensity of the initial beam of polarized light is I0.
(a) Express the intensity of the light after it passes through the first polarizer, I1, in terms of I0, and θ1.
(b) Express the intensity of the light after it passes through the second polarizer, I2, in terms of I1, Δθ12, where Δθ12 = θ2 - θ1.
(c) If f is the fraction of the light transmitted through the two polarizers, express f in terms of θ1 and Δθ12, where Δθ12 = θ2 - θ1.
d) Solve for the numerical value of f.
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