Stimulated Emission: Intuitive Explanation Needed

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SUMMARY

The discussion centers on the phenomenon of stimulated emission, where an incoming photon with the correct frequency interacts with an excited electron, resulting in the emission of a second photon that mirrors the first in phase, amplitude, and state. Participants emphasize the challenge of intuitively understanding stimulated emission compared to the more straightforward process of electron excitation. The relationship between the phase of the atomic oscillator and the incoming light is crucial, as variations in phase can lead to either absorption or stimulated emission, depending on the strength of the incoming wave. The distinction between stimulated and spontaneous emission is also highlighted, with spontaneous emission occurring independently of the incident wave.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of electromagnetic theory
  • Knowledge of atomic oscillators
  • Familiarity with wave-particle duality
NEXT STEPS
  • Study the principles of quantum mechanics related to photon interactions
  • Explore classical electromagnetic theory and its application to atomic behavior
  • Investigate the mathematical modeling of atomic oscillators and their resonance
  • Learn about the differences between stimulated and spontaneous emission in detail
USEFUL FOR

Physics students, educators, and researchers interested in quantum mechanics, optical phenomena, and the principles of light-matter interaction will benefit from this discussion.

sokrates
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I am trying to find an intuitive explanation for the stimulated emission phenomenon. I know the effect: a photon with the right frequency "interacts" with an excited electron to create a copy of itself( same phase, same amplitude, same state) putting the electron to a lower energy state...

But this doesn't fit as easily as the excitation of an unexcited electron...What I mean is, a photon with the right energy interacts with an electron and puts the electron into an excited state. This is much more intuitive and reasonable, at least for me.

I am trying to find a similar reasoning for the stimulated emission, is there one that you guys know of?
 
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In many optical phenomena, the quantum mechanical picture is consistent with what we would expect from classical electromagnetic theory, with the atom considered as a harmonic oscillator. The atom is resonant with a particular frequency, but the relative phase of the atomic oscillator is almost completely random with respect to the incoming light. As the phase difference varies through 360 degrees, there is a point where the absorption from the incoming wave is a maximum. You can analyze this by taking the superposition of the incoming wave with the ordinary classical donut-shaped radiation pattern of an oscillating dipole. When this calculation is done, there is a shadow zone behind the oscillator where the incoming wave is diminished.

Let the phase shift another 180 degrees and the situation is reversed. The superposition of the two wave patterns now re-inforces the incoming wave. That's stimulated emission.

Both the absorption and emission processes described above depend on the strength of the incoming wave. For a given oscillator amplitude, the rate of absorption or emission is linear with the ambient field strength. There is also another kind of emission going on all the time which doesn't depend on the incident wave. It's just the same classical radiative donut pattern as calculated in all other directions (outside the above-mentioned "shadow zone") where there is effectively no significant interaction between the two wave patterns. That's spontaneous emission.
 

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