Lecture 4 p 26 laboratory 1 interference in lab 1 you

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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 Multi-Slit Interference + Diffraction Combine: Multi-slit Interference, ⎛ྎ sin(Nφ / 2) ⎞ྏ IN = I1 ⎜ྎ ⎟ྏ ⎝ྎ sin(φ / 2) ⎠ྏ and Single-slit 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: Multi-slit Interference I = 4I1cos2(φ/2) For point sources, I1 = constant. and Single-slit 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.

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