How much would a laser spread out in space?

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SUMMARY

The discussion centers on the divergence of laser beams in space, specifically how they spread out when traveling over distances. It is established that a laser beam diverges as a Gaussian beam, with the far-field divergence calculated using the formula θ ≈ λ/(πw₀), where λ represents the wavelength and w₀ is the waist radius. The conversation highlights that even ideal lasers experience divergence greater than that predicted by Gaussian optics due to imperfections. Additionally, the Rayleigh criterion is mentioned as a method to analyze diffraction effects when a beam passes through a circular aperture.

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  • Understanding of Gaussian beam optics
  • Familiarity with the Rayleigh criterion
  • Knowledge of laser parameters such as wavelength and waist radius
  • Basic principles of diffraction and beam divergence
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  • Research the application of Gaussian beam divergence in laser communications
  • Explore the Rayleigh criterion and its implications in optical systems
  • Investigate the use of lasers for lunar ranging and the technology behind retro-reflectors
  • Utilize simulation tools to model laser beam propagation in various environments
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Physicists, optical engineers, and anyone involved in laser technology or space communication systems will benefit from this discussion.

Albertgauss
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Hi all,

Does anyone know of any references on how much a laser would spread out in space? I'm not sure if this is the right place for this, but I know there are various experiments planned in the future for space that rely on lasers going back and forth between satellites. Just looking for ball park numbers.
 
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That all depends on how precise and accurate the apparatus is. Assuming it is perfect, which it isn't, it never would. I don't really have numbers for you though.
 
samblohm said:
Assuming it is perfect, which it isn't, it never would.
Assuming it is perfect, it would diverge as a Gaussian beam. The far-field divergence is given by
\theta \simeq \frac{\lambda}{\pi w_0}where λ is the wavelength and w0 is the waist radius. Even a laser isn't perfect, so the divergence is always more than that for a Gaussian beam.
 
One way of looking at it would be through the diffraction effects from passing the beam through a circular aperture, using the Rayleigh criterion.

Once you find out where the first minima occurs you can find how wide that beam is at any given distance by multiplying the angle by the distance to the target, assuming small angles. You can have a play around with the numbers with this app.
http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/cirapp.html
 
Research the lasers used to 'range' the Moon via the retro-reflectors at Apollo sites and on Lunokhod (sp) rover ??
 

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