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HW6 Sol Phys 375 F09

# HW6 Sol Phys 375 F09 - Phys 375 HW 6 Fall 2009 Due 16 17...

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Phys 375 HW 6 Fall 2009 Due 16 / 17 November, 2009 1. A single slit in an opaque screen 0.10 mm wide is illuminated (in air) by plane waves from a krypton ion laser ( λ 0 = 461.9 nm). If the observing screen is 1.0 m away, determine whether or not the resulting diffraction pattern will be of the far-field variety and then compute the angular width of the central maximum. Solution: Far field condition is given by λ 2 b R > , where R is the distance from slit to observation point and b is the slit width. R=1.0 m, and plugging in the numbers we find: m b 02 . 0 2 = λ . YES, it is far field. From the diffraction formula we know the first zero of intensity is given by b / sin λ θ = . Implying: ( ) 26 . 0 / sin 1 = = b λ θ And the angular width is given by: 52 . 0 2 = θ . 2. What is the relative irradiance of the subsidiary maxima in a three-slit Fraunhofer diffraction pattern? Draw a graph of the irradiance distribution, when the split spacing a = 2 b , where b is the slit width, for 2 and then 3 slits.

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