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Unformatted text preview: > a 12.56 β = phase difference between waves coming from the top and bottom of the slit.
Single Slit Diffraction Features:
First zero: β = 2π ⇒ θ ≈ λ/a
Secondary maxima are quite small.
Lecture 4, p 25 MultiSlit Interference + Diffraction
Combine:
Multislit Interference, ⎛ྎ sin(Nφ / 2) ⎞ྏ
IN = I1 ⎜ྎ
⎟ྏ
⎝ྎ sin(φ / 2) ⎠ྏ and Singleslit Diffraction, ⎧ྏ sin( β / 2) ⎫ྏ
I1 = I0 ⎨ྏ
⎬ྏ
β / 2 ⎭ྏ
⎩ྏ 2 2 to obtain Total Interference Pattern, β / 2) ⎫ྏ2 ⎧ྏ sin(Nφ / 2) ⎫ྏ2
⎧ྏ sin(
I = I0 ⎨ྏ
⎩ྏ β /2 ⎬ྏ ⎨ྏ
⎬ྏ
⎭ྏ ⎩ྏ sin(φ / 2) ⎭ྏ Remember: φ/2π = δ/λ = (d sinθ)/λ ≈ dθ/λ β/2π = δa/λ = (a sinθ)/λ ≈ a θ/λ φ = phase between adjacent slits
β = phase across one slit You will explore these concepts in Lab 1.
Lecture 4, p 26 Laboratory 1: Interference
In Lab 1 you will combine:
Two slits: Multislit Interference I = 4I1cos2(φ/2)
For point sources, I1 = constant. and
Singleslit Diffraction I1(θ)
For finite sources, I1 = I1(θ). to obtain
The total pattern, I = 4I1(θ)cos2(...
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This note was uploaded on 03/27/2014 for the course PHYS 214 taught by Professor Staff during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Staff
 Quantum Physics, Diffraction

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