Understanding Snell's Law and Maxwell's Equations with EM Waves

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Snell's Law describes the relationship between the angles of incidence and refraction when light passes between different media, expressed as n = sin(i)/sin(r), where n is the refractive index. It can be derived from Fermat's principle of least time or Huygen's principle. Additionally, solving Maxwell's equations with appropriate boundary conditions offers a comprehensive proof of Snell's Law and the laws of reflection. For an in-depth understanding, David Griffiths' "Introduction to Electrodynamics" is recommended. Understanding these principles is essential for studying electromagnetic waves and their behavior at interfaces.
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what is the snell's law?

and how to show this
n = sin(i)/sin(r)

(where
n = refractive index
i = angle of incident
r = angle of refraction )
??

thank you!
 
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snell's law

You can derive snell's law from Fermat's principle of least time

www.physics.yorku.ca/undergrad_programme/highsch/SNELL3.html[/URL]

Another derivation can be done using Huygen's principle.



spacetime
[url]www.geocities.com/physics_all/index.html[/url]
 
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Or you can just solve Maxwell's equations with appropriate boundary conditions.

Claude.
 
Claude Bile said:
Or you can just solve Maxwell's equations with appropriate boundary conditions.

Claude.

Righto!

Maxwell's equations on EM Waves will provide the most elegent proof of Snells Law, Laws of Reflection and all the rest. You can read it from David Griffits "Intro ...to Electrodynamics".
 
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