Derive the intensity expression for single slit diffraction?

1.	Derive the intensity expression for single slit diffraction?
Answer» ANSWER: If we WRITE δ ≡ ∆β, then sin ωt + sin(ωt + δ) = sin(ωt + δ/2) sin δ sin(δ/2) = 2 sin(ωt + δ/2) cos(δ/2) , after using sin δ = 2 sin(δ/2) cos(δ/2). This N = 2 RESULT was USED in class to derive the intensity of the interference PATTERN arising in the two-slit experiment. ... N sin(π∆y sin θ/λ) = πN∆y sin θ/λ = πD sin θ/λ .

Answer»

If we WRITE δ ≡ ∆β, then sin ωt + sin(ωt + δ) = sin(ωt + δ/2) sin δ sin(δ/2) = 2 sin(ωt + δ/2) cos(δ/2) , after using sin δ = 2 sin(δ/2) cos(δ/2). This N = 2 RESULT was USED in class to derive the intensity of the interference PATTERN arising in the two-slit experiment. ... N sin(π∆y sin θ/λ) = πN∆y sin θ/λ = πD sin θ/λ .

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Derive the intensity expression for single slit diffraction?​

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Derive the intensity expression for single slit diffraction?