Calculate Distance Light Travels in Reflection from Light Fibre

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SUMMARY

The discussion focuses on calculating the distance a ray of light travels between successive reflections inside a light fiber with a diameter of 1.03x10-4 m, entering at an angle of 16° to the fiber's long axis. Participants suggest using Snell's Law for refraction calculations but conclude that simple trigonometry suffices for determining the distance traveled. The key takeaway is that the geometry of the fiber and the angle of incidence are crucial for accurate distance calculations.

PREREQUISITES
  • Understanding of Snell's Law for refraction
  • Basic trigonometry for angle and distance calculations
  • Familiarity with the properties of light fibers
  • Knowledge of geometric optics principles
NEXT STEPS
  • Study the application of Snell's Law in optical fibers
  • Explore trigonometric functions related to angles of incidence and reflection
  • Research the geometry of light propagation in cylindrical structures
  • Learn about the critical angle and total internal reflection in optical fibers
USEFUL FOR

Students in physics, optical engineers, and anyone interested in the principles of light propagation in optical fibers.

sdoyle1
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Homework Statement


A ray of light enters a light fibre so that it hits the side at an angle of 16° with the long axis of the fiber, . Calculate the distance the light ray travels between successive reflections off the side of the fibre. Assume that the fibre is 1.03x10-4 m in diameter.


Homework Equations



I don't really know where to start I think you need to use n=1.00 for air but I'm not really sure

The Attempt at a Solution


Again, I'm not sure what to do.. Should we use snell's law? Not sure how to relate this back to the distance the light travels.. or should it be the mirror equation? 1/f=1/p+1/q
 
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Draw out the path of the light ray. You don't need to use any optics equations; simple trigonometry would do.
 

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