Lecture Notes

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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

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