[OPTICS] Faraday Rotator with waveplates

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Replicating a 45° Faraday rotator using waveplates presents challenges due to differences in Jones matrix notation across various references. The primary reference being used is "Polarized Light" by Goldstein, but the mathematical results do not align with the proposed solution of using two lambda/4 waveplates. It has been suggested that a single half-wave plate tilted by pi/8 could achieve similar results, despite differing in two signs from the rotator's Jones matrix. The discussion emphasizes that while a Faraday rotator is irreversible, waveplates operate reversibly, complicating direct replication. Overall, the consensus leans towards using a half-wave plate for the desired polarization rotation.
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Hi all

I'm trying to replicate the effect of a 45° Faraday rotator using a series of waveplates instead.

I've encountered some difficulties using the jones matrix notation, due to the differencies of the matrix formulas between the books I'm referring to.

The main book I'm using is: "Polarized Light" by Goldstein.

By viewing the problem on the Poincaré sphere I think the solution is a lambda/4 waveplate + lambda/4 waveplate rotated by 45°

But the matematical results via jones calculus don't support my idea.

I hope you can help me.

Best regards

Mark
 
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Thank you for your answer.
In my experiment I don't use the backward propagation of the light, I only use the forward one. My goal is to achieve the same 45° polarization rotation using the waveplates instead.
 
Thanks for the help, I think the closest solution is a half wave plate tilt by pi/8. The resulting jones matrix has the same values of the rotator one, but differs in 2 signs.
 
Yes, a single halfwave plate is the most straightforward way to rotate a linearly polarized beam.

p.s. welcome to Physics Forums!
 
Thank you very much! :)
 
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