Lecture_4 - Diffraction Phys 331, Lecture 3, October 25,...

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Diffraction Phys 331, Lecture 3, October 25, 2011
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aperture incident wave diffracted wave Diffraction Huygens-Fresnel Principle: Every unobstructed point of a wavefront acts as a source of spherical secondary wavelets. The field at any point is the superposition of all of the secondary wavelets. A B P Manifestation of the wave nature of light – light “bends around corners. When λ ~ smallest dim max AP BP AB Λ= AB λ> Wave spreads in large angle AB λ< Multitude of wavelets emitted from the aperture interfere
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Analytical Approach (of aperture) () i kr t spher e E r ω ikr ikr oo S S ee E E S E dS rr = ∆→ Individual Huygens wavelet generated from surface S Superposition of Huygens wavelets at r. Time dependence is same for all (same frequency) Observer (Detector) Source Co-ordinate System E o
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Analytical Approach - II ' zz R −= The distance between source plane and detector plane.
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Criterion for Fraunhofer Diffraction Can ignore quadratic terms if 22 1 2 xy k d  + <<   2 w d λ >> w is largest dim of aperture We assume the incoming wave is homogeneous
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This note was uploaded on 01/20/2012 for the course PHYSICS 331 taught by Professor Wiaodongxu during the Fall '11 term at University of Washington.

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Lecture_4 - Diffraction Phys 331, Lecture 3, October 25,...

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