Generalization of Fresnel Equations?

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Discussion Overview

The discussion centers on the potential generalization of the Fresnel equations, which are used to calculate reflective and transmissive coefficients based on the polarization of incident rays. Participants explore whether a formula exists for calculating these coefficients for unpolarized incident rays.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant questions if there is a generalization of the Fresnel equations for unpolarized light.
  • Another participant asserts that unpolarized light can be treated as a sum of two polarized components, suggesting that the existing equations suffice without the need for generalization.
  • A third participant reiterates that unpolarized light is a superposition of two polarized rays.
  • A later reply provides a reference to a document discussing reflection off anisotropic media, implying a potential avenue for further exploration.

Areas of Agreement / Disagreement

There appears to be disagreement regarding the necessity of generalizing the Fresnel equations, with some participants arguing that the current framework is adequate for unpolarized light, while others are exploring the concept of generalization.

Contextual Notes

The discussion does not resolve the question of generalization, and assumptions about the treatment of unpolarized light and the applicability of the Fresnel equations remain unexamined.

Abtinnn
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Hi guys!

I was wondering if there is a generalization to the Fresnel equations. Those equations calculate the reflective and transmissive coefficients, but it depends on the polarization of the incident ray. Is there a formula that could calculate those constants for an unpolarized incident ray? Thank you!
 
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An unpolarized ray is just the sum of the two polarizations in equal amounts. The two special cases and their superpositions allow to solve every problem, there is nothing to generalize.
 
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An unpolarized ray is a superposition of two polarized incident rays.
 
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oh!
Sorry I was too dumb to realize that!
Thank you! :)
 

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