Reflection of Circular Polarized Light

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SUMMARY

The discussion focuses on the reflection of left circular polarized light (\(\sigma^+\)) incident at a 45-degree angle on a glass surface. Participants emphasize the need to analyze the electric field components (Ex, Ey) separately to account for phase changes during reflection. The conversation also highlights the importance of understanding the Brewster angle, which is not 45 degrees, in relation to the polarization characteristics of the reflected light. The consensus is that breaking down the wave into its parallel and perpendicular components is essential for accurate analysis.

PREREQUISITES
  • Understanding of circular polarization and its properties
  • Familiarity with electric field components in wave physics
  • Knowledge of reflection and refraction principles
  • Concept of Brewster angle and its significance in optics
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  • Study the mathematical treatment of circular polarized light in optics
  • Learn about the derivation and implications of Brewster's law
  • Explore the concept of phase changes during reflection at boundaries
  • Investigate the behavior of polarized light in different materials
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keniwas
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Homework Statement


Let \sigma^+ light [left circular] be incident on a piece of glass, with incidence angle = 45^\circ. Characterize the polarization of the reflected light.


The attempt at a solution
My first thought is to simply treat the components of the electric field (Ex,Ey) as separate waves and then rejoin them after the reflection has taken place. The problem is I am sure there is a phase change in here and I am not sure how to to show that.

I also think there might be an easier way to solve the problem without having to separate the wave into its Parallel and perpendicular components.

Any input is appreciated.

Thanks.
 
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unless I'm missing something, i think you will have to break it down into components as the transmitted amplitudes of each will be different.

shouldn't be too hard to do by balancing the field at the boundary interface if i remember right, the phases should just fall out of the balance

that is if its a quantitaive question, otherwise it may be a more qualitative question...
might be worth checking what the brewster angle is as well...
 
brewster won't be 45 though ;)
 

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