Self-Reproducing Rays in a symmetric Resonator

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SUMMARY

The discussion focuses on the problem of determining the number of round trips a ray of light will take in a symmetric resonator formed by two concave mirrors with radii R, separated by a distance of d = 3|R|/2. The key to solving this problem lies in understanding the relationship between the focal length of the mirrors and the geometry of the resonator. Participants emphasize the importance of calculating the focal length using the formula f = R/2, which is essential for analyzing the path of the rays within the resonator.

PREREQUISITES
  • Understanding of concave mirror properties and focal length calculation
  • Knowledge of geometric optics principles
  • Familiarity with the concept of ray tracing in optical systems
  • Basic algebra for solving equations related to optics
NEXT STEPS
  • Research the derivation of the focal length for concave mirrors
  • Study the principles of ray tracing in optical resonators
  • Explore the mathematical modeling of light paths in symmetric resonators
  • Investigate the implications of mirror separation on light behavior
USEFUL FOR

Physics students, optical engineers, and anyone interested in the behavior of light in resonant optical systems.

tuanle007
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Homework Statement




Self-Reproducing Rays in a symmetric Resonator. Consider a symmetric resonator using two concave mirrors of radii R separated by a distance d=3|R|/2. After how many round trips through the resonator will a ray retrace its path?

Homework Equations





The Attempt at a Solution



i don't know where to start and equations to work with
 
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I'd start by looking up the focal length of a mirror of radius R.
 

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