How Does S-Polarized Light Transmit Through Different Refractive Indices?

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SUMMARY

The discussion focuses on the transmission of S-polarized light through media with different refractive indices, specifically when the incident angle exceeds the critical angle. Participants emphasize the need to derive the complex transmitted electric field vector (E) and the complex transmitted magnetic field vector (H) using the expressions E = Eo e^i(kr-wt) and H = Ho e^i(kr-wt). It is crucial to consult relevant textbook sections for foundational understanding before attempting the problem, as prior knowledge is assumed.

PREREQUISITES
  • Understanding of electromagnetic wave propagation
  • Familiarity with complex vector notation
  • Knowledge of refractive indices and critical angles
  • Basic principles of polarization in optics
NEXT STEPS
  • Study the derivation of complex electric field vectors in optics
  • Learn about the Fresnel equations for S-polarized light
  • Explore the concept of critical angle and total internal reflection
  • Review electromagnetic wave theory in different media
USEFUL FOR

Students and professionals in physics, optical engineering, and materials science who are studying the behavior of polarized light at interfaces between different media.

TimNguyen
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A plane electromagnetic wave is incident from a higher index medium on a lower index medium at an angle that is greater than the critical angle.
a) For the case of s polarized electric field, obtain an expression for the complex transmitted electric field vector, (E).
b) For the case of s polarized electric field, obtain an expression for the complex transmitted magnetic field vector, (H).

For this, could I just say that E = Eo e^i(kr-wt) and H = Ho e^i(kr-wt) or do I have to do something with the expression?
 
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You need to start by carefully reading this section in your book and then making an attempt at the problem. It's clear that you haven't done that, or else you wouldn't ask the question that you asked. We're happy to help, but no one here has time to teach you from scratch.
 

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