Normal incidence of EM wave - p & s polarization convention?

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SUMMARY

The discussion centers on the confusion surrounding the labeling of light polarization as "p-polarized" in the context of normal incidence, particularly in the paper "Transmission of light through a single rectangular hole in a real metal." The participants assert that the conventional definitions of p- and s-polarization, which relate to the electric field's orientation relative to the plane of incidence, should not apply at normal incidence. The inconsistency in the diagram presented in the paper, where the electric field is perpendicular to the slit yet labeled as p-polarized, is highlighted as a significant error. The conversation emphasizes the importance of adhering to established terminology in the field of optics.

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  • Understanding of light polarization concepts
  • Familiarity with the terms p-polarized and s-polarized
  • Knowledge of the plane of incidence in optics
  • Basic principles of electromagnetic wave propagation
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IcedCoffee
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Hi. I'm reading a paper "Transmission of light through a single rectangular hole in a real metal" and the author refers to the incident light shown below as "p-polarized" without further specification.

upload_2018-8-24_22-14-30.png


Note that ax > ay. Is there any convention in regarding a certain polarization as p-polarized in the case of normal incidence?
 

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Hmmm ... that is strange. I’ve never seen anybody use S and P to mean anything other than the relation of the electric field to the plane of incidence. They shouldn’t be defined at normal incidence.

Also, since they have a well established meaning used a million places I don’t really believe we can excuse using them some other way.

However, playing devil’s advocate, S and P come from the German words for perpendicular and parallel, so I suppose if there is something to be parallel or perpendicular to other than the plane of incidence one might use that labeling. I’d be particularly accepting of that from a German speaker.

On the other hand your diagram has the electric field perpendicular to the long axis of the rectangle and still calls it P polarized, so they get no linguistic benefit of the doubt from me. This just appears to be wrong.
 
Cutter Ketch said:
Hmmm ... that is strange. I’ve never seen anybody use S and P to mean anything other than the relation of the electric field to the plane of incidence. They shouldn’t be defined at normal incidence.

Also, since they have a well established meaning used a million places I don’t really believe we can excuse using them some other way.

However, playing devil’s advocate, S and P come from the German words for perpendicular and parallel, so I suppose if there is something to be parallel or perpendicular to other than the plane of incidence one might use that labeling. I’d be particularly accepting of that from a German speaker.

On the other hand your diagram has the electric field perpendicular to the long axis of the rectangle and still calls it P polarized, so they get no linguistic benefit of the doubt from me. This just appears to be wrong.

I guess they just picked the notation rather randomly and then expected readers to figure it out from the... figure.

Also, I think what you said would make more sense, that the direction perpendicular to the slit, or whatever structure that has some sort of axis, should be called s-polarized. Thank you!
 

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