What Polarizer Angle Maintains Light Extinction with a Rotated Analyzer?

[atomqwerty]

Homework Statement

A half-wave plate is put between an horizontal polarizer and a vertical analyzer, so we have extinction.
If the anylizer is rotated clockwise an angle Theta, Which angle do we have to ratate the polarizer to keep the extinction of the light?

Homework Equations

The Jones matrix related are

Vertical analyzer
(0 0
0 1)

Horizontal polarizer
(1 0
0 1)

Half-wave plate
(1 0
0 -1)

The Attempt at a Solution

If we call the previous matrix A, B and C respectively, we can do A'·B·C=(0 0 0 0), where A' is the rotated A matrix, I mean, $$A' = R^{-1}AR$$ where R is the matrix of rotation,

R= (cos t sin t
-sin t cost)

(t= theta)



Thanks a lot!

 

[am.bassha]

what is extinction cooefficients? how it wil l be calculate? pls answer quickly

 

[atomqwerty]

what is extinction cooefficients? how it wil l be calculate? pls answer quickly

They're called the Fresnell equations, check this out: http://en.wikipedia.org/wiki/Fresnel_equations

Carlos