How Do You Calculate the Waist Radius and Location of a Gaussian Beam?

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SUMMARY

The discussion focuses on calculating the waist radius and location of a Gaussian beam emitted by a CO2 laser with a wavelength of 10.6 μm. Given the beam widths W1 = 1.699 mm and W2 = 3.38 mm at a distance of 10 cm apart, the key equations involve the relationship between the waist radius and beam width. The user seeks to determine the waist radius, which is essential for solving the equations related to the beam's propagation. The waist radius is not provided, necessitating its calculation through the Gaussian beam propagation formulas.

PREREQUISITES
  • Understanding of Gaussian beam propagation
  • Familiarity with the equations for beam width (W) and waist radius (w0)
  • Knowledge of CO2 laser specifications and characteristics
  • Basic skills in algebra and solving equations
NEXT STEPS
  • Study the Gaussian beam propagation equations in detail
  • Learn how to calculate the waist radius (w0) using W1 and W2
  • Explore the impact of wavelength on beam characteristics
  • Investigate the use of optical simulation software for beam analysis
USEFUL FOR

Physicists, optical engineers, and students studying laser optics who need to understand Gaussian beam properties and calculations related to beam waist and propagation.

danifire2
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This is the problem I don´t understand, I know I hace to determine the distance z1 which correspond to the widht W1, but I try to solve equation of W1 and W2 for z1 and use the fact z2 = z1 + 0.1m, but I, my question is how to determine the waist radius, because is not given and appear in all the equation I try to solve.

A Gaussian beam of wavelength λ = 10.6 μm (emitted by a CO2 laser) has widths W1 = 1.699 mm and W2 = 3.38 mm at two points separated by a distance d = 10 cm. Determine the possible locations of the waist and the waist radius.
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

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