![]() Hence, the intensity of the light that emerges from the system is 0.50 W/m 2. Now, using equation (1), we can get the net intensity of the light after passing through four polarizing sheets as follows: I = 2 1 I 0 cos 2 Δ θ 1 cos 2 Δ θ 2 cos 2 Δ θ 3 = 2 1 ( 25 W/m 2 ) cos 2 ( 110° ) cos 2 ( 40° ) cos 2 ( 40° ) = 0.50 W/m 2 When the unpolarized light passes through the first filter, the intensity is cut in half and comes out polarized at (0o). ![]() When unpolarized light passes through any polarizing sheet, there is a reduction of intensity by a factor of one-half. From this figure, the angle of the first polarizer measured from the x-axis is given by: θ 1 = 90° + 40° = 130° The angle difference between the first polarizer struck by the light and the second is given as: Δ θ 1 = θ 1 − θ 2 = 130° − 20° = 110° Similarly, the angle difference between the second and the third polarizer is given as: Δ θ 2 = θ 2 − θ 3 = 20° − ( − 20° ) = 40° Similarly, the angle difference between the third and the fourth polarizer is given as: Δ θ 3 = θ 4 − θ 3 = 6 0 0 − 2 0 0 = 4 0 0 We can measure all angles concerning the x-axis. Step 3: Calculation of the intensity of the light emerging from the systemĪccording to the given figure, θ 1 and θ 4 measured from the vertical axes and θ 2 and θ 3 measured from horizontal axes. Formula: The maximum intensity of unpolarized light that is transmitted according to Malus’ law, I = I 0 cos 2 θ. Find an answer to your question question Write an equation for the intensity of light after it has passed through all three polarizers in terms of the intensity of unpolarized light entering the first polarizer I0 and the angle of the second polarizer relative to the first, given that the first and third polarizers are crossed (90 between them). When the unpolarized light is transmitted, then the intensity is half the original intensity. We can use the concept of the polarizing sheet. ![]() ![]() Step 2: Understanding the concept of the intensity of polarization The four polarizing sheets with polarizing directions at angles are θ 1 = 40°, θ 2 = 20°, θ 3 = 20°, and θ 4 = 30°. The intensity of the un-polarized light, I 0 = 25 W/m 2. ![]()
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