Ultraviolet Laser Beam Shaping With Constraints

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SUMMARY

The discussion focuses on the mathematical principles involved in ultraviolet laser beam shaping, specifically using the lens equation and Gaussian beam parameters. Key equations include the lens equation (1/f = 1/d_o + 1/d_i) and the formula for the minimum Gaussian beam spot (2*w_0 = ((4 * lambda * F)/(pi * D))). The distance between mirrors is specified as 4 inches, emphasizing the importance of precise measurements in optical setups. Participants highlight the need for clear communication, particularly regarding the readability of handwritten notes and images.

PREREQUISITES
  • Understanding of the lens equation in optics
  • Familiarity with Gaussian beam parameters
  • Knowledge of wavelength and focal length in laser applications
  • Basic skills in unit conversion and measurement accuracy
NEXT STEPS
  • Research the principles of Gaussian beam propagation
  • Explore advanced lens design techniques for laser applications
  • Learn about optical system alignment and measurement techniques
  • Investigate the effects of mirror spacing on beam quality
USEFUL FOR

Optical engineers, physicists, and students working on laser technology and beam shaping applications will benefit from this discussion.

Strelkov
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Homework Statement


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Homework Equations


Lens equation
1/f = 1/d_o + 1/d_i

Minimum Gaussian beam spot
2*w_0 = ((4 * lamda * F)/(pi * D))

Where:
w_0 = beam waist (half beam diameter)
lambda = wavelength
F = focal length of lens
D = diameter of incoming spot

Don't forget to match units.

Let me know if you would like any clarifying questions. I wrote this problem out on paper and didn't want to type so I embedded images instead. I hope this isn't a problem.

P.S. distance between mirrors is 4 inches.

Thank you for any help
 
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The images are too small to be read easily. Handwriting (particularly someone else's, is all but indecipherable at this resolution. Members using mobile devices won't have a hope of reading it, never mind referencing or quoting portions of it. Please type out your question and and attempt at solution and use images as supporting material.
 

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