Tutorial on Computational Optical Imaging by ANeWn6py

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									Tutorial on Computational
     Optical Imaging
       University of Minnesota
         19-23 September

          David J. Brady
         Duke University
        www.disp.duke.edu



         www.opticalimaging.org
                       Lectures
1.    Computational Imaging
2.    Geometric Optics and Tomography
3.    Diffraction and optical elements
4.    Holography
5.    Lenses, Imaging and MTF
6.    Wavefront Coding and the impulse response
7.    Interferometry and the van Cittert Zernike Theorem
8.    Optical coherence tomography and modal analysis
9.    Spectra, coherence and polarization
10.   Computational spectroscopy and imaging


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         Lecture 3. Diffraction
         and Optical Elements
• Harmonic analysis in optics
• Diffraction and the diffraction impulse
  response
• Fresnel diffraction
• Fraunhofer diffraction
• Optical Elements


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 Wave Model of the
Electromagnetic Field




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Harmonic Analysis of EM Fields




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Harmonic Analysis of EM Field




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Diffraction and the Impulse
          Response




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Shift Invariant Linear
  Transformation



   H(u,v)=




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Fresnel Diffraction




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Uncertainty and the Fresnel
        Transform




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Fraunhoffer Diffraction




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Size Estimation from Fraunhofer
          Diffraction




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                   Optical Elements



                                                  prism




http://www.holonet.khm.de/jross/collection/reber.html
grating



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Transmittance Functions




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Prism Transmittance




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Grating Transmittance




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Absorption, density and surface
            gratings




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Lenses




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Lens transmittance




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The Lens as a Curved Prism




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           3D optical elements
http://www.canon.com/camera-museum/tech/l_plant/kumitate/ku_5/body5.html




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Photonic Crystals and Circuits




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Interesting Mathematical Issues
• How to simply model, understand and use
  3D optical elements




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