Question

For the polarizers in the figure below, suppose the incident light is linearly polarized, the transmitted...

For the polarizers in the figure below, suppose the incident light is linearly polarized, the transmitted intensity (through both polarizers) is 0.19 ? I0, and the axis of second polarizer makes an angle ? = 54° with the axis of the first polarizer. What is the angle the initial direction of polarization makes with the first polarizer?

Homework Answers

Answer #1

let Io is the intensity of linearly polarized light.

given

theta2 = 54 degrees

theta1 = ?

Intensity through first polarizer,

I1 = Io*cos^2(theta1)

Intensity through second polarizer,

I2 = I1*cos^2(theta2)

0.19*Io = Io*cos^2(theta1)*cos^2(theta2)

0.19 = cos^2(theta1)*cos^2(theta2)

cos^2(theta1) = 0.19/cos^2(theta2)

cos^2(theta1) = 0.19/cos^2(54)

cos^2(theta1) = 0.5499

cos(theta1) = sqrt(0.5499)

cos(theta1) = 0.7416

theta1 = cos^-1(0.7416)

= 42.1 degrees <<<<<<<<<---------------------Answer

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