How to Calculate Angular Width of a Light Beam Inside a Prism

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SUMMARY

The discussion focuses on calculating the angular width of a light beam inside a prism, specifically a block of fused quartz, when a narrow white light beam is incident at an angle of 30.0 degrees. Participants clarify that to determine the angular width, one must apply Snell's Law to find the diffraction angles for the longest and shortest wavelengths of visible light. The difference between these angles represents the angular width of the beam within the prism. This approach resolves the initial confusion regarding the necessary formulas and concepts.

PREREQUISITES
  • Understanding of Snell's Law for refraction
  • Knowledge of the visible light spectrum, including wavelength ranges
  • Familiarity with basic optics concepts, such as diffraction
  • Ability to perform angle calculations in geometric optics
NEXT STEPS
  • Study Snell's Law and its applications in optics
  • Research the visible light spectrum, focusing on wavelength ranges
  • Learn about diffraction and its effects on light beams in prisms
  • Explore practical examples of light refraction in different materials
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Students in physics, optical engineers, and anyone interested in understanding light behavior in prisms and optical devices.

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I'm confused on this question. I would show my work, but I'm not sure on how to even approach the question. The book labels this problem as straight forward, but I still don't see it and I'm confused on which formula(s) to use..


A narrow white light beam is incident on a block of fused quartz at an angle of 30.0 deg. Find the angular width of the light beam inside the quartz.


I tried to use Snell's law, but don't see how. My book shows no specific formulas under the dispersion and prisms section.

Any help is greatly appreciated.

Thanks.
 
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oooride said:
I'm confused on this question. I would show my work, but I'm not sure on how to even approach the question. The book labels this problem as straight forward, but I still don't see it and I'm confused on which formula(s) to use..


A narrow white light beam is incident on a block of fused quartz at an angle of 30.0 deg. Find the angular width of the light beam inside the quartz.


I tried to use Snell's law, but don't see how. My book shows no specific formulas under the dispersion and prisms section.

Any help is greatly appreciated.

Thanks.

You assume that by "white light", it means that the beam contains the range of frequency/wavelength of the visible light in the ordinary spectrum. So look up the longest and shortest wavelength in the visible light spectrum.

Next, use Snell's law and find the diffraction angle for both those wavelengths. This will be the maximum and minimum diffraction angles made by the white light. This then is the angular width of the beam inside the prisim.

Zz.
 
Okay, I understand it now. The white light is where I was getting confused..

Thanks for the help! :smile:
 

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