Width of principle maxima in n slit diffraction

AI Thread Summary
The discussion focuses on deriving the width of principal maxima in n-slit diffraction, with the angular width expressed as 2Δθm=2λ/(Ndcosθm). The relationship mN±1 is questioned, particularly regarding its connection to the number of minima between consecutive principal maxima. It is noted that there are N-1 minima present between two principal maxima, which is key to understanding this relationship. Hyperphysics is mentioned as a resource for deriving intensity expressions that could aid in understanding the widths. The conversation emphasizes the need for clarity on the derivation of the mN±1 notation in the context of diffraction patterns.
Sharlom
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I was working on derivation to find the witdh of principle maxima in n slit diffraction
Angular width=2Δθm=2λ/(Ndcosθm)
Where d:distance between slits
θm:angle at which mth order principle maxima is present.
N:no. Of slits

#in the diagram given below why the minima just adjacent to mth pricinple maxima is written as mN±1
*the thing I know is that this mN±1 is related to the fact that there are N-1 minimas present b/w 2 consecutive principle maximas
How that I 'm not able to relate it?
 

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Hi there,

Please don't delete the template but use it. If not for you, then for those of us who want to help.

Hyperphysics has an expression for the intensity. You can derive the widths from that.
 
My actual doubt is how that mN±1 came ?
 
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