Building a Laser - Brewster's Angle Problem

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SUMMARY

The discussion centers on calculating Brewster's angle for a laser using a MgF2 window with a light wavelength of 310 nanometers. The calculated Brewster's angle (θB) is 53.952 degrees, derived from the refractive index of MgF2, which is approximately 1.374. Additionally, the orientation of the window must ensure that the output light is polarized in the vertical plane. The problem emphasizes the importance of both the angle and the orientation for optimal laser performance.

PREREQUISITES
  • Understanding of Brewster's angle and its significance in optics
  • Familiarity with the refractive index of materials, specifically MgF2
  • Basic knowledge of laser construction and light polarization
  • Ability to perform trigonometric calculations, particularly arctan
NEXT STEPS
  • Research the properties of MgF2 and its applications in UV optics
  • Learn about the principles of light polarization and its relevance in laser technology
  • Explore advanced laser design techniques, including mirror placement and alignment
  • Study the effects of different wavelengths on Brewster's angle calculations
USEFUL FOR

Optical engineers, physicists, and students involved in laser technology and optics who seek to deepen their understanding of Brewster's angle and its application in laser design.

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Homework Statement



You are making a laser with light of wavelength 310 nanometers using a MgF2 window (which will transmit the UV). The mirrors will be external so each end of the 'pumping' gas discharge tube must be cut at Brewster's angle so that there is no reflection from the surface as the light passes through it. Calculate the proper angle and state how to orient the part so that the output is polarized in the vertical plane.

Homework Equations



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The Attempt at a Solution



θB = arctan(1.374) = 53.952 degrees

Is this really all this problem is? Just finding the Brewster's angle, and that's the answer? Or is there something more complex that I'm missing here?
 
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You also have to say how the window is oriented.
The Wikipedia article on Brewster angle shows this.
 

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