Solving Fresnel Coefficient Equations

AI Thread Summary
The discussion revolves around solving Fresnel coefficient equations related to reflection and transmission at an interface. The original poster attempted to prove an equation but struggled with the calculations for both transmission (t) and reflection (r) coefficients. They used a trigonometric identity and reached a partial result for t, but were unsure how to proceed further. Another participant suggested applying Snell's Law to simplify the equations. The conversation emphasizes the importance of using established laws and identities to solve the problem effectively.
Dassinia
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Hello,
1. Homework Statement [/b]

http://imageshack.com/a/img17/2531/gu44.png Uploaded with ImageShack.com
I'm trying to prove this but i didn't succeed

Homework Equations





The Attempt at a Solution


For the t I multiplied by sin(θt) in the numerator and denominator and used
sin(a) * cos(b) = 1/2 × (sin(a+b) + sin(a-b))
I ended with a 4cos(θt)sin(θi)/[sin(θi+θt)+sin(θt-θi)] but then ?
For r I don't even know how to start

Thanks
 
Last edited by a moderator:
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Dassinia said:
Hello,
1. Homework Statement [/b]

http://imageshack.com/a/img17/2531/gu44.png Uploaded with ImageShack.com
I'm trying to prove this but i didn't succeed

Homework Equations





The Attempt at a Solution


For the t I multiplied by sin(θt) in the numerator and denominator


ehild


That is all right, but use Snell's Law nisin(θi)=ntsin(θt) after, and see if you can simplify...

ehild
 
Last edited by a moderator:
and for r, how can I start
 
The same way.

ehild
 

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