How Does Huygen's Principle Explain Wave Propagation?

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SUMMARY

The discussion centers on Huygen's Principle and its application to wave propagation, specifically addressing the equation for diagonal distance travel time. The equation in question, (n_2 - n_1){(\frac{1}{c_1} + \frac{1}{c_2})}, relates the refractive indices and speeds of light in different media. Participants are encouraged to equate the two paths of wave propagation to understand the derivation better. The conversation emphasizes the importance of grasping the relationship between refractive indices and wave speeds in optics.

PREREQUISITES
  • Understanding of Huygen's Principle
  • Knowledge of refractive indices (n_1, n_2)
  • Familiarity with wave propagation concepts
  • Basic grasp of light speed in different media (c_1, c_2)
NEXT STEPS
  • Study the derivation of the lens maker's formula
  • Explore the implications of Huygen's Principle in wave optics
  • Learn about the relationship between refractive index and light speed
  • Investigate practical applications of wave propagation in different media
USEFUL FOR

Students of physics, educators teaching optics, and anyone interested in the principles of wave propagation and light behavior in various media.

Aliasa
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Homework Statement


Screen_Shot_2016_10_25_at_6_51_05_PM.png


Homework Equations


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The Attempt at a Solution


[/B]
Okay, it is not an assignment question. I am just looking for an explanation regarding something I read. Why is the diagonal distance travel time(^-1) equal to [tex](n_2 - n_1){(\frac{1}{c_1} + \frac{1}{c_2})}[/tex] ?
 
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Google http://www.tutorvista.com/content/physics/physics-iv/optics/lens-makers-formula.php (derivation)
 
Aliasa said:
I am just looking for an explanation regarding something I read. Why is the diagonal distance travel time(^-1) equal to [tex](n_2 - n_1){(\frac{1}{c_1} + \frac{1}{c_2})}[/tex] ?
Did you try to equate the two paths? If so, where did you get stuck?
 

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