Difference between Gaussian and Airy

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SUMMARY

The discussion clarifies the differences between Gaussian beam profiles and Airy disks, emphasizing that while their central portions may appear similar, their energy distributions in the tails are significantly different. The Gaussian profile exhibits a smooth fall-off, whereas the Airy disk contains ripples, indicating a higher energy concentration in the tails. This distinction is crucial for understanding various distributions, including Lorentzian distributions. For further exploration, mathematical descriptions and visualizations can be found on the Wolfram site.

PREREQUISITES
  • Understanding of Gaussian beam profiles
  • Familiarity with Airy disk patterns
  • Knowledge of energy distribution in optical systems
  • Basic mathematical concepts related to beam optics
NEXT STEPS
  • Research the mathematical descriptions of Gaussian and Airy functions
  • Explore the implications of energy distribution in optical systems
  • Investigate the Lorentzian distribution and its comparison to Gaussian profiles
  • Examine visualizations and plots on the Wolfram site for deeper insights
USEFUL FOR

Optical engineers, physicists, and students studying wave optics who seek to understand the distinctions between Gaussian and Airy beam profiles and their implications in various applications.

Choisai
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What is the difference between a Gaussian beam profile and an Airy disk? Both seem to be pretty much the same to me. An Airy disk looks like this:

res-fig2.gif


And a Gaussian beam profile looks like this:
fwhm.png


So they seem more or less the same. What is the difference between the two?
 
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You seem to be ignoring the ripples in the Airy pattern. The Gaussian falls away smoothly.

So the central portion may look the same, but the energy in the "tails" is quite different. This is an important distinction for many distributions, such as Lorentzian, which also has a lot of energy in the tails.

You should also look up the mathematical descriptions - you can find them, and more plots, on the Wolfram site.
 
"More or less the same" is not the same thing as "the same"
 

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