We want to rotate the direction of polarization of a beam of polarized light thr

Question

We want to rotate the direction of polarization of a beam of polarized light through 90 degree by sending the beam through one or more polarizing sheets. (a) What is the minimum number of sheets required? (b) What is the minimum number of sheets required if the transmitted intensity is to be more than 93% of the original Number Units Number Units Click If you would like to Show Work for this question: Open Show Work By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your Instructor.

Explanation / Answer

a)

{Minimum #Of Polarizers For 90 deg Rotation} = 2
     {Configuration} =
          = {Polarizer #1 Inclined 45 deg To IncidentLight,
               Polarizer #2 Inclined 45 deg To Polarizer #1}
     {OverallTransmission} = ((Cos[Pi/4])^2)^(2) = 0.25

b)

If we let n be the number of polarizers we can say the following is true:

=90

individual polarizer=90/n

When we plug this in we can get the equation:

If=Iicos2n(/n)

Then plug in the requirements

.93=cos2n(90/n)

Solving for n we have:

n= 34 sheets

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