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2303_-_Spr_2011_-_Week_8_-_Interference_&amp;_Diffraction_-_d

# 2303_-_Spr_2011_-_Week_8_-_Interference_&_Diffraction_-_d

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1 8.1 Homework Review Superposition of waves Two slit interference Chapter 37 Soap Film - U Mass

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2 Interference In 1803, Thomas Young first observed interference effects in light beams. The light waves must be coherent – i.e. have a constant phase difference, and same wavelength.
3 Click to edit Master subtitle style Thomas Young Created coherent bursts of light by passing sunlight through a pinhole. A light bulb emits short bursts of light ~ 10-8 s long. These have length ct ~ 3 m . Pinhole selects an individual coherent burst of light (use prism to make monochromatic). Second pair of slits create two sources of coherent light. Waves will be in phase if path lengths are equal

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4 Click to edit Master subtitle style Double-Slit Interference Laser provides a coherent light source. When a coherent light source propagates through two narrow slits, it produces a double-slit interference pattern
5 Superposition What happens when two waves come together They ADD together! The waves are “superposed.” The equation governing waves (“the wave equation”) is linear (linear approximation).

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6 Superposition of Wave Packets Constructive interference ASU Destructive interference
7 Superposition Add two traveling wave solutions.

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8 Superposition Result: traveling wave of the same frequency and wavelength. Constructive Interference Destructive Interference
9 Click to edit Master subtitle style Double-Slit Interference Path length difference

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10 Double-Slit Interference Minima: (n+½) ~ = d sin
11 Click to edit Master subtitle style Double-Slit Interference For constructive interference: For destructive interference:

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12 Nex Diffraction Interference Optional Review: Chapter 14 Waves Reading: Chapter 37.3
13 Week 8.2 Interference Double Slit Interference Interference in nature Interference in thin films Newton’s Rings Reading: Ch. 37

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14 Double-Slit Interference Maxima: n = d sin
15 Double-Slit Interference: Slit Spacing Slits closer Maxima farther Slits farther Maxima closer http://www.colorado.edu/physics/2000/schroedinger/two-slit2.html Maxima: n = d sin 5

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Double-Slit Interference: Example Problem Red light (660 nm) impinges on two very narrow slits with a 1 mm separation. Find the angular separation θ between the center line and the first maximum of the resulting interference pattern. If a screen is located 1 m from the slits, find the corresponding distance separation.
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2303_-_Spr_2011_-_Week_8_-_Interference_&_Diffraction_-_d

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