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2.717

Optical Engineering

3-0-9 units · Graduate

Theory and practice of optical methods in engineering and system design. Emphasis on diffraction, statistical optics, holography, and imaging. Provides engineering methodology skills necessary to incorporate optical components in systems serving diverse areas such as precision engineering and metrology, bio-imaging, and computing (sensors, data storage, communication in multi-processor systems). Experimental demonstrations and a design project are included.

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

Prerequisites & course information

Prereq: 2.710 or permission of instructor G (Spring) Not offered regularly; consult department 3-0-9 units

Sources