Intensity Pattern of N Slits | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

333

Pages:

6
Author:

Jabin F.

# Intensity pattern of N-slits (a+b) = grating element a = slit width b = width of un-ruled part width of ruled part Double slit pattern: * Central maximum * Secondary maxima * Minima * Interference fringes Single slit pattern: * Intensity of diffraction peaks is not same. # Intensity of Diffraction Peaks is not Same. # For two or more slit interference & diffraction occur simultaneously. Ques.57 Page-90 Condition for constructive interference: dsinθ + λ/2 = nλ Extra phase difference: dsinθ = (n - 1/2)λ Possible values for n: n = 1, 2, 3, ... Option-a: dsinθ = (n + 1/2)λ, n = 0, 1, 2, 3, ... Page-91 n(ω) ≈ 1 - (ω₀²/ω²) Dispersive medium: Vp = ω/k = c/n k = ω/c ⇒ ω = (c/n)k Vg = dω/dk nω = ck ω(dn/dω) + n(dw/dω) = c(dk/dω) Vg = c / [ω(dn/dω) + n] dn/dω = -2ω / ω₀² dn/dω | ω=ω₀/2 = -2(ω₀/2) / ω₀² = -1/ω₀ n(ω₀) = 1 - (ω₀/iω₀)² = 1 - i² = 3/4 n(ω₀/2) = 1 - (ω₀/2iω₀)² = 1 - (1/4)i² = 3/4 Vg = c / [(ω₀/2)(1/iω₀) + 3/4] = 4c Vg = 4c / (4/3) = 3c Vp = c / (4/3) = 3c/4 Vg / Vp = (4c) / (3c/4) = 16/3

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