Difference between O and E rays to S and P polarizations

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The discussion clarifies the distinction between O and E rays and S and P polarizations in the context of birefringent crystals. O rays correspond to S polarization, while E rays correspond to P polarization, but this differentiation only occurs once light interacts with the crystal. Prior to entering the crystal, light can be described as S or P polarized, but it is not classified as either O or E rays. The conversation emphasizes that understanding the relationship between the polarization vector and the optical axes is more important than the specific terminology used. Overall, clarity in optical behavior is prioritized over jargon.
CGandC
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The problem relates to birefringence and crystal optics.

What is the difference between O and E rays to S and P polarizations?
Is O-ray just a different name to S-polarization and E-ray a different name to P-polarization? if not, what is the difference?-
 
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It's been a while since I studied this, so do be aware that this is my rather hazy memory.

Imagine a beam of polarised light incident on the surface of a birefringent crystal. You can look at the polarisation of the light and compare it to the optical axis of the crystal, and say that the light is in the S or P polarisation, or somewhere between. But it's neither the ordinary nor extraordinary ray - that distinction doesn't arise until the beam strikes the crystal and splits into two.

So light in the O ray is S polarised and light in the E ray is P polarised (I think I got that the right way round). The input light may be meaningfully said to be S or P polarised or in between, but it is neither the O ray nor the E ray.

It's just jargon, anyway. I'd say that, if in doubt, specify the relationship between the polarisation vector and the optic axes and don't worry about the labels.
 

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