Classifying light by photo statistics - poissonian, sub, super poissonian?

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SUMMARY

This discussion focuses on classifying light sources based on their counting statistics: star light, discharge lamp light, and laser light. Star light and discharge lamp light are classified as super-poissonian due to their fluctuating intensity and chaotic emission patterns. Laser light classification depends on the type of laser and its operating conditions; above threshold, it is likely super-poissonian, while below threshold, it may be poissonian or sub-poissonian. The definitions of the counting statistics are clearly outlined, providing a framework for classification.

PREREQUISITES
  • Understanding of Poisson statistics and their definitions
  • Familiarity with light sources: star light, discharge lamps, and lasers
  • Knowledge of laser operation principles, including threshold behavior
  • Basic concepts of intensity fluctuations in light sources
NEXT STEPS
  • Research the characteristics of super-poissonian and sub-poissonian light sources
  • Study the statistical properties of laser light, focusing on coherence and intensity
  • Explore the differences between gas lasers and semiconductor laser diodes
  • Examine experimental methods for measuring light intensity fluctuations
USEFUL FOR

Physicists, optical engineers, and students preparing for exams in photonics or quantum optics will benefit from this discussion.

jeebs
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I've got three types of light:
- star light
- light from a discharge lamp
- light from a laser emitted high above threshold
and I need to decide on which type of counting statistics are expected for the detection of each source: poissonian, super poissonian or sub-poissonian. However, I'm unsure about how to do this.

The definitions of the counting statistics are:
\Delta n > \sqrt{\bar{n}} - superpoissonian\Delta n = \sqrt{\bar{n}} - poissonian\Delta n < \sqrt{\bar{n}} - sub-poissonianwhere the variance is on the left hand side, and the root of the average count is on the right hand side.

So, with star light, we've got light of more than one wavelength, and fluctuating intensity. I'm guessing that sub-possonian can immediately be ruled out. That leaves poissonian and super poissonian, but without actual numbers I can't do calculations using the above equations, so I'm a bit lost as to classify this. I'm leaning towards superpoissonian because it just seems like a very random source of light, but I'm really not certain.

The same things apply to the discharge lamp - I've read in a book that it's apparently super-poissonian, but again I'm not sure where to draw the line between poissonian and superpoissonian.

As for the laser light, we've got light of a single wavelength, emitted as a coherent beam. However, I'm thinking that sub-poissonian light has to be emitted at a constant intensity down to very short timescales, so wouldn't this depend on the type of laser used?
ie. am I right in thinking that a gas laser will have emission at fairly random times compared to, say, a semiconductor laser diode?

How do I classify these things?

PS. exam tomorrow, so I'm grateful for fast replies.
 
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For starlight, it is likely to be super-poissonian as the intensity of the light fluctuates and there is more than one wavelength.For the discharge lamp, it is likely to be super-poissonian, as the light emitted is chaotic and not constant. For the laser, it depends on the type of laser used and the intensity of the beam. If the beam is very strong and the laser is operating above threshold, then it is likely to be super-poissonian. If the beam is weaker, or the laser is operating below threshold, then it is likely to be poissonian or sub-poissonian.
 

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