Other How to explain the relationship: refractive index vs permitivity?

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The discussion centers around the derivation of the equation n = √(ε*μ), where n represents the refractive index, ε is the relative permittivity, and μ is the relative magnetic permeability. The equation is relevant in the context of spectroscopy. Participants emphasize the necessity of using Maxwell's equations for the derivation process. There is also a suggestion to post this inquiry in the classical-physics forum for more focused assistance.
Yaohui
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Any one can help deduct the process to obtain the following equation?
n= squart(ε*μ), n=refractive index, ε=relative permitivity, μ=relative magnetic permitivity.
I am reading a book relating to spectroscopy, and saw the above equation. I am really interested how the scientists got this equation. Thank you very much!
 
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You need to use Maxwell's equations.
 
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...and post it in the classical-physics forum rather than in the textbook forum :-).
 
Dr_Nate said:
You need to use Maxwell's equations.
Thanks a lot!
 
vanhees71 said:
...and post it in the classical-physics forum rather than in the textbook forum :-).
Got it! Thank you!
 
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