Can Fresnel Equations Be Generalized for Arbitrary Polarization of Light?

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The discussion revolves around the possibility of generalizing Fresnel equations for light reflection with arbitrary polarization. It highlights the use of matrix formulation, specifically the Jones formalism, to represent the electric field as a two-component vector known as the "Jones vector." Participants suggest searching for "Jones matrix" to find relevant resources and information. The conversation emphasizes that traditional Fresnel equations typically address s and p polarizations separately. Overall, the thread seeks to clarify the relationship between Fresnel equations and the Jones formalism for a broader understanding of light polarization.
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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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