Circularly polarized light rotation rate

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Clovis
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I have a question about circularly polarized light. Is the rate at which the electric field vector rotates proportional to the light’s frequency, or is the rate of rotation unrelated to the light’s frequency?

What got me wondering about this was thinking about relativity: Since all observers (no matter what their relative velocities) view a beam of light traveling at the same speed, would all observers also agree on the rotation rate of a beam of circularly polarized light? Or would they see different rotation rates (due to red-shift/blue-shift changes in beam frequency)?

Answers and/or references to answers greatly appreciated!


- Clovis
 
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