PHY214 Ch 36 - Chapter 36 Diffraction 36-2 Diffraction and...

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PHY214- 2006 Chapter 36 Diffraction 36-2 Diffraction and the Wave Theory of Light 36-3 Diffraction by a Single Slit: Locating the Minima 36-4 Intensity in Single-Slit Diffraction, Qualitatively 36-5 Intensity in Single-Slit Diffraction, Quantitatively 36-6 Diffraction by a Circular Aperture 36-7 Diffraction by a Double Slit 36-8 Diffraction Gratings 36-9 Gratings: Dispersion and Resolving Power 36-10 X-ray Diffraction
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PHY214- 2006 36-3 Diffraction by a Single Slit: Locating the Minima Pair up rays and assume D is very large. Path length difference: ( )sin 2 a θ For a dark fringe to occur, the path length difference must be equal to half of the wavelength. Thus, for the first minimum, we have sin 2 2 a λ θ = The extent of the diffraction is greater for a narrower slit. sin a θ λ = (first minimum)
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PHY214- 2006 36-3 Diffraction by a Single Slit: Locating the Minima sin 4 2 a λ θ = sin 2 a θ λ = sin for 1,2,3,... a m m θ λ = = To find second minimum, we pair up four rays.
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