Multiple double slits in series (not parallel)

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SUMMARY

The discussion focuses on the behavior of photons passing through multiple double slits arranged in series, specifically two slits at y = 10 and four slits at y = 10.02. It concludes that the interference pattern results from the coherent wave functions of the final four slits, with the paths through the first double slit influencing the paths through the subsequent slits. The concept of series versus parallel arrangements is clarified, emphasizing that in this context, series means sequential placement of slits where a photon can only pass through one pair of the second set at a time.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wave-particle duality
  • Familiarity with interference patterns in physics
  • Knowledge of photon behavior in multi-slit experiments
  • Basic grasp of coherent wave functions and their interactions
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  • Research the mathematical modeling of interference patterns in multi-slit experiments
  • Explore the implications of coherent wave functions in quantum mechanics
  • Study the differences between series and parallel arrangements in quantum experiments
  • Investigate experimental setups that utilize multiple double slits
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Physicists, students of quantum mechanics, and researchers interested in the behavior of light and interference patterns in advanced optics experiments.

San K
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Lets say...a little bit after the double slits, we place another set of double slits (one pair of double slits for each of the "original" double slit)

thus a total of 6 slits

two slits in the first plane (say at y = 10)

and four in the next plane/series (say at y = 10.02)

the x-axis (and z-axis) would run the length (and breadth) of the detector

How would the interference pattern look like?

Would the pattern be such that, first you have you account for (and build the paths through) the first double slit and then use that to build a paths through the next four slits?

and the pattern would be the interaction of the final four (coherent) wave functions?

note: the concept of series and parallel are interchangeable, depending upon how one views it. in this case series is supposed to mean placing four slits right after the two slits.
 
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So the second set is divided so that a photon from the first set can only go through one pair or the other of the second set, but never both? If so, then yes--you will have four functions to interfere. The rule is always that you draw all possible paths that the photon could take, and all of them interfere with each other.
 

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