What is the Phase Difference between Two Interfering Light Rays?

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SUMMARY

The phase difference between two interfering light rays propagating from point A to point B, with one ray traveling straight and the other at a 60-degree angle, is calculated using the formula for phase difference. The correct calculation involves determining the path difference, which is 3(lambda)/4 for the straight ray and 3(lambda)/4 for the reflected ray, resulting in a total phase difference of 1.83pi. The initial phase difference is assumed to be zero due to lack of information. Understanding the laws of reflection and path differences is crucial for accurate calculations.

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  • Understanding of wave optics concepts, specifically phase difference.
  • Familiarity with the laws of reflection.
  • Knowledge of basic trigonometry for angle calculations.
  • Ability to interpret and analyze geometric relationships in triangles.
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  • Study the concept of phase difference in wave optics.
  • Learn about the laws of reflection and their applications in optics.
  • Explore geometric optics, focusing on triangle properties and their relevance to light paths.
  • Review advanced topics in wave interference and its mathematical formulations.
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Students studying optics, physics educators, and anyone interested in understanding wave interference and phase relationships in light propagation.

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Homework Statement



Consider two light rays propagating from point A to point B in the figure, which are 3(lambda)/4 apart. One ray follows a straight path, and the other travels at a 60 degree angle to that path and then reflects off a plane surface to point B. Both rays have wavelength lambda. View Figure

105316D.jpg


Find the phase difference between these two rays at point B. Answer in terms of pi.

Homework Equations



No equations were provided. But according to my handy textbook:

Phase Difference = 2(pi)(change in x)/(lambda) + change in initial phase

The Attempt at a Solution



(Phase Difference) = 2(pi)[3lambda/4lambda] + (60 degrees * 2pi/360 degrees)
= 1.83pi

any ideas?
 
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first of all u haven't understood really what phase difference is...
it has nothing to od with angle between the rays...
study some more about phase difference articls on net or yourhandy textbook
so 60 is not initial phase diff
as initial is not given we can take it as zero is uppose
next
change in x is difference in path traveled by the two rays...
here 1 ray travels 3lambda /4
now find the path traveled by the other ray by considering the triangle and laws of reflection
i =r

you will find the triangle to be equilateral
so change in x = 2X 3lambda/4 - 3lambda/4=3lambda/4
now put in your eqn
you will find the ans
i hope no problems...but you got some conceptual probs go figure them out:biggrin:
 
Thanks for the help. I'll definitely have to look over the inherent phase difference information in my book.
 

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