Can Fresnel Equations Be Generalized for Arbitrary Polarization of Light?

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In summary, the conversation discussed the possibility of a generalized Fresnel equation for the reflection of light with arbitrary polarization, which can be represented using the Jones formalism. The Jones formalism involves a matrix formulation and can be found through a simple internet search. The s and p polarizations are considered separately and use the familiar Fresnel equations, with the E-field being represented as a 2-component vector in the Jones formalism.
  • #1
Savant13
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1
Is there a generalized Fresnel equation for the reflection of light with arbitrary polarization (between p and s)?
 
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  • #2
The equations can be cast into a matrix formulation (Jones formalism).
 
  • #3
Could I get a link to this Jones Formalism?
 
  • #5
nothing
 
  • #6
Have you tried, for example, google "Jones matrix"?
 
  • #7
I hadn't, as not all formalisms involve matrices (as far as I know)
 
  • #8
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.
 

1. What are Fresnel equations?

Fresnel equations are mathematical formulas that describe the reflection and transmission of light at the interface between two media with different refractive indices.

2. How are Fresnel equations derived?

Fresnel equations were derived by French physicist Augustin-Jean Fresnel in the early 19th century using the principles of classical optics and the electromagnetic theory of light.

3. What is the significance of Fresnel equations?

Fresnel equations are important in understanding how light behaves at boundaries between different materials, and they are used in a wide range of applications, including optics, electronics, and materials science.

4. Can Fresnel equations be used for any type of light?

Yes, Fresnel equations can be used for any type of light, including visible light, infrared radiation, and ultraviolet light.

5. Are Fresnel equations applicable to all materials?

No, Fresnel equations are only applicable to materials with a well-defined refractive index, such as transparent solids and liquids. They are not applicable to materials with highly irregular surfaces or materials with variable refractive indices, such as gases.

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