Calculating the degree of polarization of reflecting light

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SUMMARY

The discussion focuses on calculating the degree of polarization of reflected light using incidence angle and refractive indices as inputs. It highlights Brewster's angle, specifically around 53 degrees, where light is completely polarized upon reflection from water. The user seeks an equation that can derive the degree of polarization, referencing Fresnel and Snell's equations as foundational concepts. The complexity of the formula for birefringent and absorbing minerals is noted, indicating the need for precise material specifications.

PREREQUISITES
  • Understanding of Brewster's angle and its significance in optics
  • Familiarity with Fresnel equations for reflection and transmission
  • Knowledge of refractive indices and their role in light behavior
  • Basic principles of polarization in light waves
NEXT STEPS
  • Research the derivation of Fresnel equations for different materials
  • Explore the application of Brewster's angle in various optical systems
  • Study the mathematical modeling of light polarization in birefringent materials
  • Investigate the impact of incidence angle on the degree of polarization in reflective surfaces
USEFUL FOR

Optical physicists, materials scientists, and engineers working with reflective surfaces and polarization effects in light.

kaasisdebaas
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I am looking for in an equation that's spits out the degree of polarization of reflected light, with incidence angle and the refractive indexes as inputs.
an article online article had this graph decribing the degree of polarization as a value between 0 and 1 plotted against the angle of incidence.
EWsls.png

This is related to Brewsters angle, where light with an incidence angle of around 53 degrees is completely polarized when reflecting off water. my guess is that the above graph can be deduced from Fresnel/Snells equations.
Any help finding an exact equation is appreciated.
 
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This depends also on the material. The most general formula for birefringent and absorbing minerals is exceedingly complex.
 

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