Reflectance and Transmittance of Light in Water-Glass Interface

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SUMMARY

The discussion focuses on calculating the reflectance and transmittance of light at the water-glass interface, specifically with a glass refractive index of 1.5 and an incident angle of 53 degrees. The user aims to determine the percentage of p-polarized light reflected and the total incident power transmitted through the glass. The Brewster's Angle is calculated to be approximately 49 degrees, and the user contemplates using the Fresnel Equations to derive the necessary values for reflectance and transmittance.

PREREQUISITES
  • Understanding of refractive indices, specifically for glass and water.
  • Knowledge of Brewster's Angle and its significance in polarization.
  • Familiarity with Fresnel Equations for calculating reflectance and transmittance.
  • Basic concepts of polarized light, including p-polarized and s-polarized components.
NEXT STEPS
  • Study the derivation and application of Fresnel Equations for different polarization states.
  • Learn how to calculate Brewster's Angle for various material interfaces.
  • Explore the effects of angle of incidence on reflectance and transmittance in optical materials.
  • Investigate the implications of polarization in practical applications such as optics and photonics.
USEFUL FOR

Students and professionals in optics, physics, and engineering, particularly those working with light behavior at material interfaces and polarization effects.

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Homework Statement



There's a block of glass and it has a refractive index n = 1.5 and it is put in water.
Randomly polarized light is incident from the water towards the glass at an angle of 53 degrees to the normal.

a) what % p-polarized (part) of the em wave (light) is reflected off the glass? and the % of total incident power of the light is transmitted in the block?




Homework Equations



so my solution I guess is

The Attempt at a Solution



R% (reflectance) = Pr^2/Pi
Hence then if you find Pr , using Pr equation, and Pi but I don't know... how to find those
do I have to derive them?
 
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Okay, so I don't know how to proceed on this problem

I figure the randomly polarized light has 50% p-polarized and 50% s-polarized so I guess I would figure out the Brewster's Angle.

using

\tan(\Theta_{B})=\frac{n_{2}}{n_{1}}

which gives approximately 49 degrees

do I then use a Fresnel Equation? and then some how find the amount of p-polarized? and that happens to be out of 50 which then is out of 100%?
 
Last edited:

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