Refraction of light in three mediums

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SUMMARY

The discussion focuses on the refraction of light as it passes through three different mediums with varying indices of refraction: n1 = 1.1, n2 = 1.6, and n3 = 1.9. Two cases are analyzed, with the first case examining the angles of incidence and refraction at each interface, while the second case maintains the first and third mediums but alters the second medium's index to n2' = 1.5. The participants conclude that the ratio R = sin(theta 3') / sin(theta 3) equals 1, indicating that the index of refraction of the middle medium does not affect the final angle of refraction.

PREREQUISITES
  • Understanding of Snell's Law and its application in optics
  • Familiarity with the concept of refractive indices
  • Basic knowledge of angles of incidence and refraction
  • Ability to perform trigonometric calculations
NEXT STEPS
  • Study the implications of Snell's Law in multi-medium refraction scenarios
  • Explore the derivation and applications of the formula R = sin(theta 3') / sin(theta 3)
  • Investigate the effects of varying refractive indices on light behavior in optical systems
  • Learn about advanced optical phenomena such as total internal reflection
USEFUL FOR

Physics students, optical engineers, and anyone interested in the principles of light refraction and its applications in various mediums.

arnavchhabra
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1. 2 cases:
there are three mediums
first case: light travels from first medium to second, then to third. n1 = 1.1; n2 =1.6; n3 =1.9
angle of incidence before first = theta 1
angle of refraction after first = theta 2
angle of refraction after second = theta 3

second case:
light travels through three mediums
n1' = n1
n2' = 1.5
n3' = n3
theta 1' = theta 1




2. R = sin theta 3' / sin theta 3
what should be the value of R?




3. I keep getting 1. I donno why though?
 
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Snell's Law for the general case says that n1sin(theta1) = n2sin(theta2) and since the angle into the second interface is the same as the angle out of the first interface, n2sin(theta2) = n3sin(theta3). So n1sin(theta1) = n3sin(theta3). So the index of refraction of the middle medium doesn't change the final angle out. That's the meaning of R=1, right?
 
yes...i don't think its right though
 

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