Physics Lecture 12

Physics Lecture 12 - Color Separation i. Angle for 1 st...

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I. 3-, 4-, 5- source interference a. Two source – phasor diagram has two arrows b. Three source – phasor diagram has three lines where the Δδ is the same as if two slit II. Diffraction Grating and color Separation a. Diffraction grating – N-slit problem where N is really large b. Max: Δδ adj = 0, ±2π, ±4π c. Example 1 i. Laser light with wavelength 633nm is reflected off a CD. A pattern of spots is observed, and the angle of the 1 st side max is 22 degrees? How many grooves are on the CD 1. Δδ adj = 2π 2. Δr adj = Δδ adj /2π *λ = 2π/2π* λ = λ 3. Far away Δr adj = dsinθ d= Δr adj /sinθ = 6.33 E -9/sin(22) = 1.7 E -6 4. radius is 4 cm .04/1.7 E -6 = 24 = 24000 grooves d.
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Unformatted text preview: Color Separation i. Angle for 1 st side max Δr adj = 2π λ = dsinθ ii. Angle depends on wavelength larger λ => larger θ III. Single-Slit Diffraction a. Bending of waves past obstacle or thru opening b. c. Example 2 i. 10 th side minima = 2π * 10 ii. Δr tb = 20π/2π = 10λ iii. Θ = Intensity I~A 2 I/I = (A/A ) 2 Δδ adj = 2π (Δr adj /λ) Δδ tb = 2π (Δr tb /λ) For a single slit with width a Δr +b = asinθ 4π 3π 2π π 0 π 2π 3π 4π Δδ adj Δδ Δδ A Tot Δδ tb = phase difference between beams coming from top and bottom edges Δδ tb = 2π (Δr tb /λ) Central max: Δδ tb = 0 Minima: Δδ tb = ±2π, ±4π, ±6π, Δδ tb...
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This note was uploaded on 04/07/2008 for the course PHYS 212 taught by Professor Ladd during the Spring '08 term at Bucknell.

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Physics Lecture 12 - Color Separation i. Angle for 1 st...

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