Order of Dark Fringes: Understanding Interference Patterns

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SUMMARY

The discussion focuses on understanding the order of dark fringes in interference patterns, specifically in the context of a lens experiment. Participants emphasize the importance of using the equation for the difference between adjacent rings to avoid confusion about the starting point of the dark fringes. They recommend measuring the diameter of the rings rather than the radius for accuracy, as the center can be difficult to determine. The slope of the graph plotted from these measurements can be utilized to calculate the wavelength of light used in the experiment.

PREREQUISITES
  • Understanding of interference patterns in optics
  • Familiarity with lens experiments and their setup
  • Knowledge of mathematical equations related to fringe spacing
  • Ability to graph data and interpret slopes
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  • Research the mathematical derivation of fringe spacing in interference patterns
  • Learn about the use of lenses in optical experiments
  • Explore methods for accurately measuring diameters of circular patterns
  • Study the relationship between fringe patterns and wavelength calculation
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Physics students, optical engineers, and researchers interested in wave optics and interference phenomena.

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See attachment please.
After that, please point out, the order of the dark fringes. I mean I can't see where is m=0 dark fringe? Where to start?
I want to know so I can know that radius enclosed by each fringe.
Thanks.
 

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If the lens is in contact then the center is "ring" zero, but it's very wide.

It's been many years but if I remember correctly... You probably have an equation for the radius of the ring, however when doing the experiment it might be best to write an equation for the difference between two adjacent rings. Then you don't need to know which is ring zero or even measure it. Your equation will have a term something like (n+1) -n which equals 1 so the ring number dissapears.

If you plot a graph and it doesn't pass through the origin either you started counting from the wrong place or the lens wasn't really in contact. Either way the slope of the graph wouldn't change and can be used to calculate the wavelength.

I'd also measure the diameter of the rings rather than the radius because it's hard to know where the centre is exactly. The rings have thickness so you have to measure from the middle of the line to mddle of line.
 

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