Light refraction index equation

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Discussion Overview

The discussion revolves around the equation relating to the light refraction index and the reflection coefficient, specifically the equation R = [(n1-n2)/(n1+n2)]². Participants explore whether this equation has been proven experimentally or theoretically, and seek clarification on its mathematical derivation.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant questions the experimental or theoretical proof of the equation R = [(n1-n2)/(n1+n2)]².
  • Another participant asserts that the equation can be derived from principles and has been verified experimentally.
  • A request for a mathematical derivation of the equation is made by a participant.
  • A later reply mentions that the coefficient of reflection can be derived from Fresnel's equations and provides links for further reading, indicating that the given equation is a special case.

Areas of Agreement / Disagreement

There is a disagreement regarding the level of detail and clarity in the mathematical derivation of the equation, as well as the interpretation of its proof status.

Contextual Notes

The discussion does not resolve the specifics of the mathematical derivation or the experimental verification process, leaving these aspects open for further exploration.

Moe_the_Genius
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Is the following equation which relates to light refraction index and the amount which bounces back been proven experimental or theoretically(mathematicaly)?

R = [(n1-n2)/(n1+n2)]
 
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Yes to both, It can be derived from principles and has been verified experimentally.
 
Thanks, now I know.
Can you also tell me how it was done mathematically?
 

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