Need and explanation of an Optics principle.

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SUMMARY

The discussion focuses on deriving an equation for the diameter of a laser beam when it passes from air into a flat smooth piece of glass, influenced by the angle of incidence (@) and the index of refraction (n). The participants emphasize the application of Snell's Law to understand how the beam's diameter changes due to the refractive index. It is established that as the refractive index increases, particularly in extreme cases, the beam's diameter in the medium will expand significantly.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics
  • Familiarity with the concept of index of refraction
  • Basic knowledge of laser beam properties and behavior
  • Ability to interpret geometric optics diagrams
NEXT STEPS
  • Research the mathematical derivation of beam diameter changes using Snell's Law
  • Explore the effects of varying refractive indices on light propagation
  • Study the principles of geometric optics related to laser beams
  • Examine case studies involving laser beams in different media
USEFUL FOR

Students and professionals in optics, physicists, and engineers interested in laser technology and the principles of light behavior in different media.

zumbo1
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There is a laser beam with a diameter D, in air that strikes a flat smooth piece of glass with angle @ and index of refraction of n. I need to derive and equation for the diameter of the beam in the glass wiht respect with n D, and @.
I want to know why the beam's diameter would be effected by the index of refraction. Can you give me a hint of what laws and principles I should use.
Anyway I am going to reread my textbook and class notes again to see if I missed anything that could be applied to this situation.
I want to thank you for your help, in advance.
 
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Draw a picture and and use Snell's law. I`m sure you can imagine in the extreme case of infinite refraction index and glancing incidence that the beam in the medium will clearly have a larger diameter.
 

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