Electromagnetic wave before and after refraction

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SUMMARY

The discussion centers on the analysis of electromagnetic wave behavior during refraction, specifically addressing question 4.5 from Hecht's "Optics" (4th edition). The primary focus is on determining the phase difference between the incident ray and the transmitted ray as it transitions from glass to air. Key insights include the necessity to understand wave propagation directions both inside the glass and after exiting. The conversation emphasizes the importance of grasping the underlying principles of refraction and phase relationships in wave optics.

PREREQUISITES
  • Understanding of Snell's Law for refraction
  • Familiarity with wave propagation concepts
  • Knowledge of phase difference calculations in optics
  • Basic principles of electromagnetic waves
NEXT STEPS
  • Study the derivation and application of Snell's Law in various media
  • Learn about phase shifts that occur during reflection and refraction
  • Explore the concept of wavefronts and ray diagrams in optics
  • Investigate the behavior of light in different materials, focusing on refractive indices
USEFUL FOR

Students studying optics, physics educators, and anyone interested in the principles of light behavior during refraction and wave interactions.

Breedlove
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Homework Statement


This question is question 5 from chapter 4 of Hecht's Optics, 4th edition. I found a pdf of the homework set, and the question is labeled as 4.5. http://www.physics.byu.edu/faculty/hess/471W09/Homework/Ch4.pdf"



Homework Equations


Not completely sure


The Attempt at a Solution



I saw my professor for help with this problem, and he told me that we have to find the phase difference in between the incident ray and the transmitted ray (from glass to air). If there are any other important pieces of advice or hints or possible diving boards from which I can jump into this problem, I would greatly appreciate any help you can provide. Thanks!
 
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For starters, when you look at the expression given for E_u, can you tell which direction the wave is propagating? Which direction would such an incident wave travel once inside the glass plate? How about after it leaves it again?
 

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