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LEC #TOPICSKEY DATES
1Introduction: Statistical Optics, Inverse ProblemsHomework 1 Posted (Fourier Optics Overview)
2Fourier Optics Overview
3Random Variables: Basic Definitions, MomentsHomework 1 Due 
Homework 2 Posted (Probability I)
4Random Variables: Transformations, Gaussians
5Examples: Probability Theory and StatisticsHomework 2 Due 
Homework 3 Posted (Probability II)
6Random Processes: Definitions, Gaussian, Poisson
7Examples: Gaussian ProcessesHomework 3 Due 
Homework 4 Posted (Random Processes)
8Random Processes: Analytic Representation
9Examples: Complex Gaussian ProcessesHomework 4 Due
Project 1 Begins
101st-Order Light Statistics
11Examples: Thermal and Laser Light
122nd-Order Light Statistics: Coherence
13Example: Integrated IntensityProject 1 Report Due
Project 2 Begins
14The van Cittert-Zernicke Theorem
15Example: Diffraction from an Aperture
16The Intensity Interferometer

Speckle
17Examples: Stellar Interferometer, Radio Astronomy, Optical Coherence Tomography
18Effects of Partial Coherence on ImagingProject 2 "Lecture-Style" Presentations (2 Hours)
19Information Theory: Entropy, Mutual Information
20Example: Gaussian Channels
21Convolutions, Sampling, Fourier Transforms

Information-Ttheoretic View of Inverse Problems
22Imaging Channels

Regularization
23Inverse Problem Case Study: Tomography

Radon Transform, Slice Projection Theorem
24Filtered Backprojection
25Super-Resolution and Image Restoration
26Information-Theoretic Performance of Inversion Methods

 








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