1

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

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Fourier Optics Overview (PDF - 1.4 MB)

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Random Variables: Basic Definitions, Moments

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Random Variables: Transformations, Gaussians

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Examples: Probability Theory & Statistics

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Random Processes: Definitions, Gaussian, Poisson

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Examples: Gaussian Processes

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Random Processes: Analytic Representation

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Examples: Complex Gaussian Processes

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1st-Order Light Statistics

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Examples: Thermal & Laser Light

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2nd-Order Light Statistics: Coherence

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Example: Integrated Intensity

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The van Cittert-Zernicke Theorem

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Example: Diffraction From An Aperture

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The Intensity Interferometer

Speckle (PDF - 2.4 MB)

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Examples: Stellar Interferometer, Radio Astronomy,
Optical Coherence Tomography

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Effects of Partial Coherence on Imaging

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Information Theory: Entropy, Mutual Information (PDF)

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Example: Gaussian Channels

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Convolutions, Sampling, Fourier Transforms

Information-Theoretic View of Inverse Problems (PDF)

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Imaging Channels

Regularization

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Inverse Problem Case Study: Tomography

Radon Transform, Slice Projection Theorem

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Filtered Backprojection

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Super-Resolution and Image Restoration

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Information-Theoretic Performance of Inversion Methods