Confusion about Homogenous Broadening in Lasers

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SUMMARY

The discussion centers on the concept of homogeneous broadening in lasers, specifically addressing the impact of the finite lifetime of the emitting state on frequency. It is established that the uncertainty in the excited state lifetime directly correlates to frequency uncertainty of the emitted photon. Additionally, the phenomenon of mode pulling is clarified as the process where the gain at the central frequency surpasses that of other resonant frequencies, leading to the dominance of a single resonant frequency over time. The distinction between homogeneous and inhomogeneous broadening is also emphasized, with examples provided.

PREREQUISITES
  • Understanding of laser physics and operation
  • Familiarity with concepts of homogeneous and inhomogeneous broadening
  • Knowledge of excited state lifetimes in quantum mechanics
  • Basic principles of mode pulling in laser systems
NEXT STEPS
  • Research the relationship between excited state lifetime and frequency uncertainty in quantum mechanics
  • Study the effects of pressure on homogeneous broadening in gas lasers
  • Explore the concept of mode pulling in detail, referencing Siegman's book on lasers
  • Investigate the differences between homogeneous and inhomogeneous broadening with practical examples
USEFUL FOR

Laser physicists, optical engineers, and students studying advanced laser technology will benefit from this discussion, particularly those interested in the nuances of laser operation and broadening effects.

H_man
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In the book I am currently reading one of the causes stated for homogenous broadening in lasers is the ".. finite lifetime of the emitting state".

Now this really confuses me because I would have thought that that a change in the time it takes for this spontaneous emission should affect the phase of the emitting wave relative to other waves present, but I can't see why it would affect the frequency?

I'd also like to clarify a second point. When we have a laser which begins operation and initially generates a homogenously broadened waveform, is mode pulling when the gain in the central frequency rises higher than the other resonant frequencies, and as a result the other frequencies will die down leaving only the single resonant frequency after some short time interval?

I really appreciate the help!

Harry
 
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I think of homogeneous broadening as physical effects that affect all of the atoms: excited state lifetime, pressure (in a gas laser), etc. Inhomogeneous broadening effects are those that affect subpopulations of atoms differently- Doppler boradening, for example.

For the excited state lifetime mechanism, it's really due to the fact that an uncertainty in the time an atom can stay in the excited state is equivalent to an uncertantly in the frequency of the emitted photon.

As for your second question, I've forgotten what mode pulling means... I'll check Siegman's book, see what he says.
 
Thanks, that's very helpful!
 

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