Number of Photons inside a Laser Cavity

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SUMMARY

The discussion focuses on calculating the average number of photons inside a laser cavity defined by two mirrors, one with 100% reflectivity and the other with 99.9% reflectivity. The user is tasked with determining the photon count using the cavity's length, mirror reflectivity, power, and wavelength of the emitted wave beam. The approach suggested involves working backwards from the output mirror's reflectivity, where only 0.1% of photons are emitted, leading to the formula N(out)/0.001 to estimate the average photon count. The conversation highlights the importance of understanding standing wave formation and equilibrium states within the cavity.

PREREQUISITES
  • Understanding of laser cavity design and operation
  • Knowledge of photon behavior and wave-particle duality
  • Familiarity with concepts of reflectivity and its impact on photon emission
  • Basic principles of standing waves in confined spaces
NEXT STEPS
  • Research the principles of laser cavity dynamics and photon statistics
  • Learn about the mathematical modeling of standing waves in optical cavities
  • Explore the relationship between reflectivity and photon lifetime in laser systems
  • Investigate the role of equilibrium states in photon distribution within laser cavities
USEFUL FOR

Physicists, optical engineers, and students studying laser technology or quantum optics will benefit from this discussion, particularly those interested in the quantitative analysis of photon behavior in laser systems.

HuskyLab
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<< Mentor Note -- thread moved from the technical forums, so no Homework Help Template is shown >>

Let's say you have a laser cavity with two mirrors at either end, one is considered 100% reflective, the other 99.9%, so that a wave beam is emitted through this lower reflectivity mirror.
I know:
-The length of the laser cavity
-The reflectivity of the mirrors
-The power and wavelength of the emitted wave beam

I am asked to determine the number of photons present in the cavity (I presume average considering they are continually being absorbed and re-emitted). I am having a hard time understanding how to even go about this with the, at least what seems to me, limited information.

I thought about working backwards, if let's say the output mirror has a reflectivity of 99.9%, then only 0.1% of the photons inside have been emitted so N(out)/0.001 would give the average number of photons inside the cavity? I feel like I'm missing something. I know that the photons interfere to create standing waves some integer multiple fitting the cavity length.
 
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HuskyLab said:
I am asked...
Asked by whom?
 
Nugatory said:
Asked by whom?
By my teacher.
 
HuskyLab said:
By my teacher.
In that case, we're going to have to ask you to post this question to the "Introductory Physics Homework" subforum instead.

[Edit: looks like Berkeman beat me to it]
 
HuskyLab said:
I thought about working backwards, if let's say the output mirror has a reflectivity of 99.9%, then only 0.1% of the photons inside have been emitted so N(out)/0.001 would give the average number of photons inside the cavity?
N(out) is what, exactly?
 
When the cavity reaches a state of equilibrium, what could you say about it?
 

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