Intensity of single slit vs double slit

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SUMMARY

The discussion focuses on the intensity comparison between single and double slits in light diffraction experiments. It concludes that the intensity of the central peak for the double slit configuration is four times greater than that of the single slit. This result is derived from the principles of constructive and destructive interference of light waves, emphasizing the importance of amplitude in calculating intensity ratios. The participants suggest exploring relevant equations and earlier textbooks to solidify understanding of these concepts.

PREREQUISITES
  • Understanding of light wave interference principles
  • Familiarity with intensity equations for single and double slits
  • Knowledge of amplitude and its role in intensity calculations
  • Basic concepts of superposition in wave theory
NEXT STEPS
  • Research the derivation of intensity formulas for single and double slits
  • Learn about constructive and destructive interference in wave mechanics
  • Explore the concept of amplitude in relation to light intensity
  • Review historical textbooks on wave optics for foundational equations
USEFUL FOR

Students studying wave optics, physics educators, and anyone interested in understanding the principles of light diffraction and interference patterns.

Snydes
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Homework Statement


Light of intensity I0 passes through two sets of apparatus.
One contains one slit and the other two slits. The
slits have the same width. What is the ratio of the out
going intensity amplitude for the central peak for the
two-slit case compared to the single slit?

Homework Equations


The text doesn't give any, I assume it has to do with constructive and destructive interference from the light waves.

The Attempt at a Solution


Tried using equations for intensity that I've been given from other classes for double and single slit intensity but doesn't really leave me anywhere useful, plus if they're not given in the text then that's probably not the way to go about it. I've also considered superposition.
The answer turns out to be that the intensity of the double slit is larger by a factor of 4 but don't know how to get there
 
Last edited:
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What does the tekst give ? You're invited to come up with some relevant equations, not with summing up what isn't given. Perhaps you want to search in earlier textbooks what you can find about single slits, double slits, amplitudes, intensities ?
 

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