Difference between O and E rays to S and P polarizations

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SUMMARY

The discussion clarifies the distinction between O rays and E rays in relation to S and P polarizations within the context of birefringence and crystal optics. The O ray corresponds to S polarization, while the E ray corresponds to P polarization. The input light can be classified as S or P polarized before interacting with the birefringent crystal, but it does not assume the O or E ray designation until it splits upon entering the crystal. The conversation emphasizes the importance of specifying the relationship between the polarization vector and the optic axes rather than relying on terminology.

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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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