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MAS.857

Optical Engineering

Graduate · Historical course

Spring 2002

Topics

  • Introduction: Statistical Optics, Inverse Problems
  • Fourier Optics Overview
  • Random Variables: Basic Definitions, Moments
  • Random Variables: Transformations, Gaussians
  • Examples: Probability Theory and Statistics
  • Random Processes: Definitions, Gaussian, Poisson
  • Examples: Gaussian Processes
  • Random Processes: Analytic Representation
  • Examples: Complex Gaussian Processes
  • 1st-Order Light Statistics
  • Examples: Thermal and Laser Light
  • 2nd-Order Light Statistics: Coherence
  • Example: Integrated Intensity
  • The van Cittert-Zernicke Theorem
  • Example: Diffraction from an Aperture
  • The Intensity Interferometer
  • Examples: Stellar Interferometer, Radio Astronomy, Optical Coherence Tomography
  • Effects of Partial Coherence on Imaging
  • Information Theory: Entropy, Mutual Information
  • Example: Gaussian Channels
  • Convolutions, Sampling, Fourier Transforms
  • Imaging Channels
  • Inverse Problem Case Study: Tomography
  • Filtered Backprojection
  • Super-Resolution and Image Restoration
  • Information-Theoretic Performance of Inversion Methods

Readings

  • Goodman, Joseph W. Statistical Optics. Hoboken, NJ: Wiley-Interscience, 2000. ISBN: 9780471399162.
    Listed reading
  • Bertero, Mario, and Patrizia Boccacci. Introduction to Inverse Problems in Imaging . London, NY: Taylor & Francis, 1998. ISBN: 9780750304351.
    Listed reading
  • G = Goodman, Joseph W. Statistical Optics. Hoboken, NJ: Wiley-Interscience, 2000. ISBN: 9780471399162. B = Bertero, Mario, and Patrizia Boccacci. Introduction to Inverse Problems in Imaging. London, NY: Taylor & Francis, 1998. ISBN: 9780750304351.
    Listed reading
  • LEC #: 3 · TOPICS: Random Variables: Basic Definitions, Moments · READINGS: G2.1-4
    Reading assignment
  • LEC #: 4 · TOPICS: Random Variables: Transformations, Gaussians · READINGS: G2.5-9
    Reading assignment
  • LEC #: 5 · TOPICS: Examples: Probability Theory and Statistics · READINGS: Notes
    Reading assignment
  • LEC #: 6 · TOPICS: Random Processes: Definitions, Gaussian, Poisson · READINGS: G3.1-7
    Reading assignment
  • LEC #: 7 · TOPICS: Examples: Gaussian Processes · READINGS: Notes
    Reading assignment
  • LEC #: 8 · TOPICS: Random Processes: Analytic Representation · READINGS: G3.8-10
    Reading assignment
  • LEC #: 9 · TOPICS: Examples: Complex Gaussian Processes · READINGS: Notes
    Reading assignment
  • LEC #: 10 · TOPICS: 1st-Order Light Statistics · READINGS: G4.1-4
    Reading assignment
  • LEC #: 11 · TOPICS: Examples: Thermal and Laser Light · READINGS: Notes
    Reading assignment
  • LEC #: 12 · TOPICS: 2nd-Order Light Statistics: Coherence · READINGS: G5.1-3
    Reading assignment
  • LEC #: 13 · TOPICS: Example: Integrated Intensity · READINGS: G6.1
    Reading assignment
  • LEC #: 14 · TOPICS: The van Cittert-Zernicke Theorem · READINGS: G5.4-6
    Reading assignment
  • LEC #: 15 · TOPICS: Example: Diffraction from an Aperture · READINGS: G5.7
    Reading assignment
  • LEC #: 17 · TOPICS: Examples: Stellar Interferometer, Radio Astronomy, Optical Coherence Tomography · READINGS: Notes
    Reading assignment
  • LEC #: 18 · TOPICS: Effects of Partial Coherence on Imaging · READINGS: Class
    Reading assignment
  • LEC #: 19 · TOPICS: Information Theory: Entropy, Mutual Information · READINGS: Notes
    Reading assignment
  • LEC #: 20 · TOPICS: Example: Gaussian Channels · READINGS: Notes
    Reading assignment
  • LEC #: 24 · TOPICS: Filtered Backprojection · READINGS: B11.2-3
    Reading assignment
  • LEC #: 25 · TOPICS: Super-Resolution and Image Restoration · READINGS: B10.1-5, 11.4-5
    Reading assignment
  • LEC #: 26 · TOPICS: Information-Theoretic Performance of Inversion Methods · READINGS: Class
    Reading assignment
Sources