WaveOpt_24 - Department of Electrical and Computer Engineering HechtOpticsCh.10 00.2 005.1 00.1 005.0 0 0 00.2 00.4 00.6 00.8 01 AndrewKirk2010

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Department of Electrical and Computer Engineering ECSE 527 Optical Engineering pplications of diffraction Applications of diffraction Hecht ‘Optics’ Ch. 10 01 0.015 0.02 Andrew Kirk 2010 Diffraction 94 0 0.04 0.06 0.08 0.1 0 0.005 0.01
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Contents 1. Diffraction from multiple apertures 2. Diffraction grating parameters 3. Applications of diffraction gratings t Spectroscopy Array generators urier optics 4. Fourier optics ©AGK 2010 Diffraction 95
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Learning outcomes After taking this class you will be able to: alculate diffraction patterns produced by multiple apertures Calculate diffraction patterns produced by multiple apertures •R e c a l l the grating equation • Explain qualitatively the structure of light diffracted by gratings alculate the resolving power of grating spectrometers Calculate the resolving power of grating spectrometers • Apply the principles of Fourier optics to calculate diffraction from periodic structures ©AGK 2010 Diffraction 96
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Resolution of Optical Systems =2w r D2w I f ns diameter D r 1 •L e n s does not form perfect focus, even when aberration free Lens, diameter D •I m a g e is Airy pattern • First zero is at: D f r 22 . 1 1 ©AGK 2010 Diffraction 97 •T h i s is a diffraction limited system
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Rayleigh resolution criterion x f  x  f I •T w o objects are just resolved when the center of one diffraction pattern falls on the first minima of the other.  1.22 / D f   1.22 f D ©AGK 2010 Diffraction 98 Improve resolution by using large aperture lens or a short wavelength.
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Array of apertures •W h a t is the Fraunhofer diffraction pattern for an array of apertures? ©AGK 2010 Diffraction 99
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Fraunhofer diffraction integral Aperture Distant screen P Source  (x,y) ©AGK 2010 Diffraction 100
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Fraunhofer diffraction integral sin x u z  Aperture Distant screen P Source  (x,y) ©AGK 2010 Diffraction 101  sin 0 jk UU U e d   1-D angular version:
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Return to rectangular aperture ©AGK 2010 Diffraction 102
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Return to rectangular aperture  /2 sin
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This note was uploaded on 09/28/2010 for the course ECSE ECSE 527 taught by Professor Kirk during the Winter '10 term at McGill.

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WaveOpt_24 - Department of Electrical and Computer Engineering HechtOpticsCh.10 00.2 005.1 00.1 005.0 0 0 00.2 00.4 00.6 00.8 01 AndrewKirk2010

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