Deriving the Fresnel Equations for E Field in Plane of Incidence

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SUMMARY

The discussion centers on deriving the Fresnel equations for the electric field perpendicular to the plane of incidence. The user references a specific resource, particularly Equation 7.17 from a physics website, which outlines the transformation needed to combine it with Equation 7.14 to achieve Equation 7.18, the Fresnel equation. The user expresses difficulty in understanding the mathematical substitution and rearrangement required for this derivation.

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Cummings
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I am trying to derive the Fresnel equations for the E field perpendicular to the plane of incidence.

There is one transformation, I assume involves some general math, that I am having a mental blank on.

It can be found here http://physics.tamuk.edu/~suson/html/4323/prop-em.html if you scroll down to Equation 7.17, they simply state that combining it with Equation 7.14 you can achieve 7.18, the fresnel equation.

I assuming this is just some substitution and re araging but for the life of me I am unable to figure out how they did. it.

Enlighten me.
________
Cummings
BSc: Photonics
BEng: Telecommunications and Internet Technologies.
 
Last edited by a moderator:
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I can't open that link. Will you double-check ?
 
Gokul43201 said:
I can't open that link. Will you double-check ?

hmm.. the link works for me.


sorry, can't help ya, but may i ask, what class is this for? EM II or optics or something? fairly interesting.
 

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