Solving Fabry-Perot Problem: Increase L by \lambda/2 to Scan FSR

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SUMMARY

The discussion focuses on the Fabry-Perot problem, specifically demonstrating that increasing the distance L between two mirrors by \(\lambda/2\) is sufficient to scan the transmission peak over one Free Spectral Range (FSR). Participants emphasize the importance of understanding the FSR concept and suggest consulting relevant textbooks for detailed explanations. The equation \(D=2L\sqrt{1+v^2/c^2}\) is mentioned as part of the solution approach, although further guidance is requested to clarify the relationship between distance and FSR.

PREREQUISITES
  • Understanding of Fabry-Perot cavities
  • Knowledge of Free Spectral Range (FSR)
  • Familiarity with the equation \(D=2L\sqrt{1+v^2/c^2}\)
  • Basic principles of wave optics
NEXT STEPS
  • Research the concept of Free Spectral Range (FSR) in optical systems
  • Study the transmission characteristics of Fabry-Perot etalons
  • Explore the mathematical derivation of the Fabry-Perot equation
  • Examine graphical representations of transmission peaks in Fabry-Perot cavities
USEFUL FOR

Students and researchers in optics, particularly those studying wave interference and resonant cavities, will benefit from this discussion. It is also valuable for anyone looking to deepen their understanding of Fabry-Perot interferometry and its applications.

tuanle007
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Homework Statement



Show that it is only necessary to increase the distance L between two mirrors of a Fabry-Perot cavity by a distance \lambda/2 to scan the transmission peak over a range of one FSR

Homework Equations





The Attempt at a Solution


D=2L*sqrt(1+v^2/c^2)
 
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I've started guiding you through the solution of your other posted problem. This attempt is really lame. Start by looking in your book and telling me what the FSR is.
 
my book doesn't have FSR anywhere.
I have never seen this type of problem.
can you please guide me
 
Try looking for for the phrase free spectral range. Then look for a graph of the transmission through a Fabry Perot etalon, can you tell me how to draw the FSR on this graph?
 

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