How Does Light Refraction Affect Displacement in a Glass Medium?

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SUMMARY

The discussion focuses on the calculation of light displacement in a glass medium, specifically using the formula d = t * sin(theta1) * (1 - (n1 * cos(theta1) / n2 * cos(theta2))). Participants emphasize the importance of understanding the angles of incidence and refraction, represented as theta1 and theta2, respectively. The refractive indices n1 and n2 are crucial for determining the behavior of light as it transitions from one medium to another. Visual aids, such as diagrams, are recommended to clarify the relationship between the incident and refracted rays.

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  • Understanding of Snell's Law for refraction
  • Familiarity with trigonometric functions and their applications
  • Knowledge of refractive indices in optics
  • Ability to interpret and create geometric diagrams
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  • Explore trigonometric identities relevant to light refraction
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Okej have a piece of glass with refractive index n2 and tickness t.

A ray of light falls on the glass with the angle theta1 (from a medium with recrative index n1).

In the glass the ray has the angle theta2 and when it exits it has now got the displacement d (compared with the ray that went from air to glass).

Now show that the formula d=tsin(theta1)(1-(n1cos(theta1) / n2cos(theta2)) is correct.

I know it is suppose to be simple trig, but the only thing i can even figure out to do is that 90-theta1 = theta ... then I'm stuck.. can't see how to connect anything. please give me some hints.
 
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Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.
 
Hootenanny said:
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.

yeah they are parallel of course.. but just finding the displacement of them..

have done a diagram as well. but as I said I can't figure out what to start with. can't see the trig stuff in it =(
 
Hootenanny said:
Have you drawn a diagram? Hint: the incident ray and the the final refracted ray should be parallel.
Oki done it know.. and it made perfect sense..=)
 
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