Angular Dispersion of Visible Light @ 45deg Incidence

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SUMMARY

The discussion centers on the angular dispersion of visible light when passing through a prism at a 45-degree incidence angle, with an apex angle of 55.7 degrees. The indices of refraction are specified as 1.66 for violet light and 1.61 for red light. The initial calculation of the angle of deviation between violet and red light was determined to be 4.148095389 degrees, but this was deemed incorrect. Participants are exploring the relationship between dispersion at the solid-gas interface and the solid-solid interface in the context of optical dispersion.

PREREQUISITES
  • Understanding of optical dispersion principles
  • Familiarity with Snell's Law
  • Knowledge of indices of refraction
  • Basic geometry related to angles and triangles
NEXT STEPS
  • Research the calculation of angular dispersion in prisms
  • Study Snell's Law and its application in optics
  • Explore the concept of total internal reflection
  • Investigate the effects of different apex angles on light dispersion
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Students and professionals in optics, physics educators, and anyone interested in the behavior of light as it interacts with prisms and other optical materials.

fiyavan
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hello

Here I a prism with a visible light striking it at 45degree to the normal and the prism has an apex angle of 55.7 degree. It disperse Red, Orange, Yellow, Green, Blue, and Violet color in that order with 1.66 for violet light index of fraction and 1.61 for Red light. I have figured out that the angle of divation for each of these light and the second part of the problem is asking me,

What is the angular dispersion of visible light with the same angle of incidence? Answer in unit of degree.

At first i thought this meant the angle of from the angle of deviation for the violet light to the red light and it was 4.148095389 degree. But it was wrong and I can't think of any other way to interept the question.
 
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fiyavan said:
At first i thought this meant the angle of from the angle of deviation for the violet light to the red light and it was 4.148095389 degree. But it was wrong and I can't think of any other way to interept the question.
I would have thought the same.

Looking at - http://en.wikipedia.org/wiki/Dispersion_(optics ) - there is an angle at the interface of the gas and solid and then at the other side - solid to gas. Is the angle of dispersion related to the dispersion in the solid, or the dispersion at the second interface?
 
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