[OPTICS] Faraday Rotator with waveplates

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SUMMARY

The discussion focuses on replicating a 45° Faraday rotator using waveplates, specifically a lambda/4 waveplate and a half wave plate tilted by pi/8. The primary reference is "Polarized Light" by Goldstein, which presents challenges in applying Jones matrix notation due to inconsistencies across different sources. The conclusion drawn is that while a Faraday rotator is irreversible, a half wave plate can achieve the desired polarization rotation, albeit with differing signs in the resulting Jones matrix.

PREREQUISITES
  • Understanding of Jones matrix notation
  • Familiarity with waveplate types, specifically lambda/4 and half wave plates
  • Knowledge of polarization concepts in optics
  • Experience with the Poincaré sphere representation
NEXT STEPS
  • Study the mathematical principles of Jones calculus in depth
  • Research the properties and applications of half wave plates
  • Explore the Poincaré sphere and its significance in polarization optics
  • Review "Polarized Light" by Goldstein for advanced concepts in optical systems
USEFUL FOR

Optical engineers, physicists, and students studying polarization and wave optics will benefit from this discussion, particularly those interested in the practical applications of waveplates in optical systems.

MarkIt
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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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