(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A diffraction grating is ruled with 500 lines/mm and

is 1 mm in width. Calculate the angular width of

the intensity peaks to the first minimum in the

Fraunhofer diffraction pattern of this grating, when

illuminated with light of λ = 600 nm.

2. Relevant equations

n- order, d separation of slits

nλ = dsinθ

Single slit function ψ(θ)=Aa sinc (kθa/2) (not sure if relevant)

A-amplitude,

a -width of the slit

k = 2π/λ

b = 1mm the width of the

3. The attempt at a solution

TBH, I am not really sure what do they mean by angular width ( I assume θ). But I was not sure how to attempt this problem. I was thinking of convolving f(x) = ...+ δ(x+ 2d)+δ(x+d)+δ(x)+δ(x-d)+δ(x-2d)+... [the infinite array of slits of negligible width] with g(x) = (from -b/2 to b/2)∫dx [the width of the grating] and then looking for zeros of intensity, from which I can tell the θ. Does this sound correct ?

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# Homework Help: Diffraction grating, angular with of the intensity peaks to the first maximum

Can you offer guidance or do you also need help?

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