[OPTICS] Faraday Rotator with waveplates

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    Faraday Optics
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Discussion Overview

The discussion revolves around the attempt to replicate the effect of a 45° Faraday rotator using waveplates, specifically focusing on the challenges encountered with Jones matrix notation and the mathematical discrepancies found in different references. The scope includes theoretical exploration and mathematical reasoning related to optics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Mark expresses difficulties in using Jones matrix notation to replicate a 45° Faraday rotator with waveplates, referencing "Polarized Light" by Goldstein.
  • Some participants argue that a Faraday rotator cannot be replicated with waveplates due to the irreversibility of the former compared to the reversibility of waveplates.
  • Mark clarifies that his experiment only involves forward propagation of light and aims to achieve a 45° polarization rotation with waveplates.
  • A suggestion is made to refer to a detailed mathematical tutorial for further understanding.
  • Another participant proposes that a half wave plate tilted by π/8 could be a close solution, noting that the resulting Jones matrix has similar values to that of the rotator but differs in signs.
  • It is noted that a single half wave plate is a straightforward method for rotating a linearly polarized beam.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of replicating a Faraday rotator with waveplates, indicating a lack of consensus on the approach. Some agree on the use of a half wave plate, while others maintain that the fundamental differences between the devices prevent a direct replication.

Contextual Notes

There are unresolved mathematical discrepancies in the application of Jones calculus as referenced by different sources, which may affect the conclusions drawn by participants.

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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