Can Fresnel Equations Be Generalized for Arbitrary Polarization of Light?

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Discussion Overview

The discussion revolves around the possibility of generalizing the Fresnel equations to accommodate light with arbitrary polarization states, exploring both theoretical and practical implications of such generalization.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about the existence of a generalized Fresnel equation for arbitrary polarization of light.
  • Another participant suggests that the equations can be represented in a matrix formulation known as the Jones formalism.
  • A request is made for a link to resources on the Jones formalism.
  • Participants discuss the limitations of existing knowledge, with one noting that not all formalisms necessarily involve matrices.
  • Clarification is provided that s and p polarizations are treated separately using familiar Fresnel equations, and that the E-field can be represented as a 2-component vector, referred to as the "Jones vector."
  • One participant encourages another to search for "Jones matrix" to find relevant information.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the generalization of the Fresnel equations, and multiple viewpoints regarding the applicability of matrix formalisms remain present.

Contextual Notes

There is an indication of uncertainty regarding the completeness of the discussion, particularly concerning the relationship between different formalisms and their representations.

Who May Find This Useful

Individuals interested in the theoretical aspects of light polarization, matrix methods in optics, and the application of Fresnel equations may find this discussion relevant.

Savant13
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Is there a generalized Fresnel equation for the reflection of light with arbitrary polarization (between p and s)?
 
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The equations can be cast into a matrix formulation (Jones formalism).
 
Could I get a link to this Jones Formalism?
 
What have you found so far?
 
nothing
 
Have you tried, for example, google "Jones matrix"?
 
I hadn't, as not all formalisms involve matrices (as far as I know)
 
The s and p polarizations are considered separately, using the Fresnel equations that you are familiar with. The E-field is then a 2-component vector, the "Jones vector".

Googling "Jones matrix", as Andy suggested, should get you off and running.
 

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