Single slit diffraction and minimum intensity

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SUMMARY

The discussion centers on the conditions for minimum intensity in single slit diffraction, specifically addressing the equation ΔS = nλ, where n is a natural number. Participants clarify that while this condition leads to destructive interference, the extreme path difference must be considered in relation to the phase difference of the waves. The correct condition for minimum intensity in Fraunhofer diffraction is stated as a sin(θ) = mλ, emphasizing the importance of understanding the geometry of wave propagation through the slit. The conversation highlights the complexities of wave interference and the necessity of precise definitions in optics.

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  • Understanding of wave interference principles
  • Familiarity with diffraction patterns and their mathematical descriptions
  • Knowledge of Fraunhofer diffraction and its conditions
  • Basic concepts of phase difference in wave mechanics
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  • Study the derivation of the single slit diffraction formula a sin(θ) = mλ
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Ahmed Abdullah
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In the single slit diffraction the condition for minimum intensity is that
Del S= n*lamda n=1,2,3,...natural number
the extreme path difference is equal to integral numbers of wavelength ( in the double slit experiment it is the condition for maximum intensity).

It is understandable in the case of double slit experiment when the path difference is equal to integral numbers of wavelength, then the two wave meets at the same phase, then we have maximum intensity at that particular point.
But when it comes with single slit the scenario is reversed. Isn't it the only factor that determine the intensity of light wave at any particular point -with which EXTENT OF PHASE DIFFERENCE two wave meet there?

So why Del S= n*lamda for minimum intensity? If the extreme path difference Del S is the only and net path difference then the waves having extreme path difference Del S= n*lamda will meet with same phase, giving rise to a maximum.
when the light wave pass through the slit it is diffracted to certain amount and fall on the lens, these are parallel rays and the lens converge them on the focal plane. But these rays are not parallel to the principle axis of the lens. So the converging path of the two rays are not equal. I justifies (i may be wrong , cos i have no clues; my textbooks explained nothing about this)that this path difference should be odd multiples of half wavelength (i.e m*lamda/2 where m=1,3,5,7...) . SO that when two rays have the path difference Del S= n*lamda on to the lens ( extreme path difference) they would still have to follow a converging path that will force them to meet out of phase and thus giving rise to minumum intensity.
These are how i can think so far. Please make correction of my analysis.
Waiting for you sensible response. :shy:
 
Last edited:
Physics news on Phys.org
http://hyperphysics.phy-astr.gsu.edu...t/sinslit.html says the condition for minimum intensity is asinθ=mλ
Isn't asinθ=extreme path difference?
 
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