Lecture notes have been posted whenever possible. Not all lectures are available for distribution.

LEC # | TOPICS |
---|---|

1 | Introduction: Statistical Optics, Inverse Problems (PDF - 1.3 MB) |

2 | Fourier Optics Overview (PDF - 1.4 MB) |

3 | Random Variables: Basic Definitions, Moments |

4 | Random Variables: Transformations, Gaussians |

5 | Examples: Probability Theory & Statistics |

6 | Random Processes: Definitions, Gaussian, Poisson |

7 | Examples: Gaussian Processes |

8 | Random Processes: Analytic Representation |

9 | Examples: Complex Gaussian Processes |

10 | 1st-Order Light Statistics |

11 | Examples: Thermal & Laser Light |

12 | 2nd-Order Light Statistics: Coherence |

13 | Example: Integrated Intensity |

14 | The van Cittert-Zernicke Theorem |

15 | Example: Diffraction From An Aperture |

16 |
The Intensity Interferometer
Speckle (PDF - 2.4 MB) |

17 |
Examples: Stellar Interferometer, Radio Astronomy, Optical Coherence Tomography |

18 | Effects of Partial Coherence on Imaging |

19 | Information Theory: Entropy, Mutual Information (PDF) |

20 | Example: Gaussian Channels |

21 |
Convolutions, Sampling, Fourier Transforms
Information-Theoretic View of Inverse Problems (PDF) |

22 |
Imaging Channels
Regularization |

23 |
Inverse Problem Case Study: Tomography
Radon Transform, Slice Projection Theorem |

24 | Filtered Backprojection |

25 | Super-Resolution and Image Restoration |

26 | Information-Theoretic Performance of Inversion Methods |