Fabry Perot Cavity - phase difference?

Click For Summary
SUMMARY

The discussion centers on the phase difference formula for a Fabry-Perot cavity, specifically the equation δ = (2π/λ)2nlcosθ. The variables include n (refractive index), l (distance between cavity walls), and θ (angle of the ray). The user initially struggles with the concept of multiplying the wavenumber k by the refractive index n and the distance traveled by light, which they later clarify as 2l/cosθ. The conversation highlights the importance of understanding how light travels within the cavity to accurately calculate phase differences.

PREREQUISITES
  • Understanding of wave optics principles
  • Familiarity with the Fabry-Perot interferometer
  • Knowledge of refractive index and its implications
  • Basic grasp of trigonometry related to angles and distances
NEXT STEPS
  • Study the derivation of the Fabry-Perot phase difference formula
  • Explore applications of Fabry-Perot interferometers in spectroscopy
  • Learn about the impact of refractive index on light propagation
  • Investigate advanced topics in wave optics, such as coherence and interference patterns
USEFUL FOR

Students and professionals in optics, physicists, and engineers working with optical systems and interferometry will benefit from this discussion.

trelek2
Messages
86
Reaction score
0
Hi,

I'm having trouble understanding where the formula (appearing in my notes or Wikipedia) comes from.
One can read on Wikipedia: The phase difference between each succeeding reflection is given by
[tex]\delta = \frac{2 \pi}{\lambda}2nlcos\theta[/tex]
Where n is refractive index inside cavity, l distance between cavity walls, [tex]\theta[/tex] angle of the ray.

What are we actually finding?
It would seem we are multiplying wavenumber k by refractive index n and distance traveled by light. But as I look at it, it seems to me that distance traveled is [tex]\frac{2l}{cos\theta}[/tex]. And i don't understand why would we do that to find phase difference. Can anyone explain what are we actually doing here?
 
Science news on Phys.org
nevermind, i found the answer.
 

Similar threads

Replies
7
Views
1K
  • · Replies 12 ·
Replies
12
Views
4K
Replies
5
Views
475
  • · Replies 1 ·
Replies
1
Views
3K
Replies
12
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
7K
  • · Replies 1 ·
Replies
1
Views
2K