Preface |
Origins and Manifestations of Speckle / 1: |
General Background / 1.1: |
Intuitive Explanation of the Cause of Speckle / 1.2: |
Some Mathematical Preliminaries / 1.3: |
Random Phasor Sums / 2: |
First and Second Moments of the Real and Imaginary Parts of the Resultant Phasor / 2.1: |
Random Walk with a Large Number of Independent Steps / 2.2: |
Random Phasor Sum Plus a Known Phasor / 2.3: |
Sums of Random Phasor Sums / 2.4: |
Finite Number of Equal Length Components / 2.5: |
Nonuniform Distribution of Phases / 2.6: |
First-Order Statistical Properties / 3: |
Definition of Intensity / 3.1: |
First-Order Statistics of the Intensity and Phase / 3.2: |
Large Number of Random Phasors / 3.2.1: |
Constant Phasor plus a Random Phasor Sum / 3.2.2: |
Finite Number of Equal-Length Phasors / 3.2.3: |
Sums of Speckle Patterns / 3.3: |
Sums on an Amplitude Basis / 3.3.1: |
Sum of Two Independent Speckle Intensities / 3.3.2: |
Sum of N Independent Speckle Intensities / 3.3.3: |
Sums of Correlated Speckle Intensities / 3.3.4: |
Partially Polarized Speckle / 3.4: |
Partially Developed Speckle / 3.5: |
Speckled Speckle, or Compound Speckle Statistics / 3.6: |
Speckle Driven by a Negative Exponential Intensity Distribution / 3.6.1: |
Speckle Driven by a Gamma Intensity Distribution / 3.6.2: |
Sums of Independent Speckle Patterns Driven by a Gamma Intensity Distribution / 3.6.3: |
Higher-Order Statistical Properties of Speckle / 4: |
Multivariate Gaussian Statistics / 4.1: |
Application to Speckle Fields / 4.2: |
Multidimensional Statistics of Speckle / 4.3: |
Joint Density Function of the Amplitudes / 4.3.1: |
Joint Density Function of the Phases / 4.3.2: |
Joint Density Function of the Intensities / 4.3.3: |
Autocorrelation Function and Power Spectrum of Speckle / 4.4: |
Free-Space Propagation Geometry / 4.4.1: |
Imaging Geometry / 4.4.2: |
Speckle Size in Depth / 4.4.3: |
Dependence of Speckle on Scatterer Microstructure / 4.5: |
Surface vs. Volume Scattering / 4.5.1: |
Effect of a Finite Correlation Area of the Scattered Wave / 4.5.2: |
A Regime where Speckle Size Is Independent of Scattering Spot Size / 4.5.3: |
Relation between the Correlation Areas of the Scattered Wave and the Surface Height Fluctuations-Surface Scattering / 4.5.4: |
Dependence of Speckle Contrast on Surface Roughness-Surface Scattering / 4.5.5: |
Properties of Speckle Resulting from Volume Scattering / 4.5.6: |
Statistics of Integrated and Blurred Speckle / 4.6: |
Mean and Variance of Integrated Speckle / 4.6.1: |
Approximate Result for the Probability Density Function of Integrated Intensity / 4.6.2: |
"Exact" Result for the Probability Density Function of Integrated Intensity / 4.6.3: |
Integration of Partially Polarized Speckle Patterns / 4.6.4: |
Statistics of Derivatives of Speckle Intensity and Phase / 4.7: |
Background / 4.7.1: |
Parameters for Various Scattering Spot Shapes / 4.7.2: |
Derivatives of Speckle Phase: Ray Directions in a Speckle Pattern / 4.7.3: |
Derivatives of Speckle Intensity / 4.7.4: |
Level Crossings of Speckle Patterns / 4.7.5: |
Zeros of Speckle Patterns: Optical Vortices / 4.8: |
Conditions Required for a Zero of Intensity to Occur / 4.8.1: |
Properties of Speckle Phase in the Vicinity of a Zero of Intensity / 4.8.2: |
The Density of Vortices in Fully Developed Speckle / 4.8.3: |
The Density of Vortices for Fully Developed Speckle Plus a Coherent Background / 4.8.4: |
Optical Methods for Suppressing Speckle / 5: |
Polarization Diversity / 5.1: |
Temporal Averaging with a Moving Diffuser / 5.2: |
Smooth Object / 5.2.1: |
Rough Object / 5.2.3: |
Wavelength and Angle Diversity / 5.3: |
Free-Space Propagation, Reflection Geometry / 5.3.1: |
Free-Space Propagation, Transmission Geometry / 5.3.2: |
Temporal and Spatial Coherence Reduction / 5.3.3: |
Coherence Concepts in Optics / 5.4.1: |
Moving Diffusers and Coherence Reduction / 5.4.2: |
Speckle Suppression by Reduction of Temporal Coherence / 5.4.3: |
Speckle Suppression by Reduction of Spatial Coherence / 5.4.4: |
Use of Temporal Coherence to Destroy Spatial Coherence / 5.5: |
Compounding Speckle Suppression Techniques / 5.6: |
Speckle in Certain Imaging Applications / 6: |
Speckle in the Eye / 6.1: |
Speckle in Holography / 6.2: |
Principles of Holography / 6.2.1: |
Speckle Suppression in Holographic Images / 6.2.2: |
Speckle in Optical Coherence Tomography / 6.3: |
Overview of the OCT Imaging Technique / 6.3.1: |
Analysis of OCT / 6.3.2: |
Speckle and Speckle Suppression in OCT / 6.3.3: |
Speckle in Optical Projection Displays / 6.4: |
Anatomies of Projection Displays / 6.4.1: |
Speckle Suppression in Projection Displays / 6.4.2: |
A Moving Screen / 6.4.3: |
Wavelength Diversity / 6.4.5: |
Angle Diversity / 6.4.6: |
Overdesign of the Projection Optics / 6.4.7: |
Changing Diffuser Projected onto the Screen / 6.4.8: |
Specially Designed Screens / 6.4.9: |
Speckle in Projection Microlithography / 6.5: |
Coherence Properties of Excimer Lasers / 6.5.1: |
Temporal Speckle / 6.5.2: |
From Exposure Fluctuations to Line Position Fluctuations / 6.5.3: |
Speckle in Certain Nonimaging Applications / 7: |
Speckle in Multimode Fibers / 7.1: |
Modal Noise in Fibers / 7.1.1: |
Statistics of Constrained Speckle / 7.1.2: |
Frequency Dependence of Modal Noise / 7.1.3: |
Effects of Speckle on Optical Radar Performance / 7.2: |
Spatial Correlation of the Speckle Returned from Distant Targets / 7.2.1: |
Speckle at Low Light Levels / 7.2.2: |
Detection Statistics-Direct Detection / 7.2.3: |
Detection Statistics-Heterodyne Detection / 7.2.4: |
Comparison of Direct Detection and Heterodyne Detection / 7.2.5: |
Reduction of the Effects of Speckle in Optical Radar Detection / 7.2.6: |
Speckle and Metrology / 8: |
Speckle Photography / 8.1: |
In-Plane Displacement / 8.1.1: |
Simulation / 8.1.2: |
Properties of the Spectra I[subscript k](v[subscript X], v[subscript Y]) / 8.1.3: |
Limitations on the Size of the Motion (x[subscript 0], y[subscript 0]) / 8.1.4: |
Analysis with Multiple Specklegram Windows / 8.1.5: |
Object Rotation / 8.1.6: |
Speckle Interferometry / 8.2: |
Systems That Use Photographic Detection / 8.2.1: |
Electronic Speckle Pattern Interferometry (ESPI) / 8.2.2: |
Speckle Shearing Interferometry / 8.2.3: |
From Fringe Patterns to Phase Maps / 8.3: |
The Fourier Transform Method / 8.3.1: |
Phase-Shifting Speckle Interferometry / 8.3.2: |
Phase Unwrapping / 8.3.3: |
Vibration Measurement Using Speckle / 8.4: |
Speckle and Surface Roughness Measurements / 8.5: |
RMS Surface Height and Surface Covariance Area from Speckle Contrast / 8.5.1: |
RMS Surface Height from Two-Wavelength Decorrelation / 8.5.2: |
RMS Surface Height from Two-Angle Decorrelation / 8.5.3: |
Information from Measurement of Angular Power Spectrum / 8.5.4: |
Speckle in Imaging Through the Atmosphere / 9: |
Refractive Index Fluctuations in the Atmosphere / 9.1: |
Point-Spread Functions / 9.2: |
Average Optical Transfer Functions / 9.3: |
Statistical Properties of the Short-Exposure OTF and MTF / 9.4: |
Astronomical Speckle Interferometry / 9.5: |
Object Information that Is Retrievable / 9.5.1: |
Results of a More Complete Analysis / 9.5.2: |
The Cross-Spectrum or Knox-Thompson Technique / 9.6: |
The Cross-Spectrum Transfer Function / 9.6.1: |
Recovering Full Object Information from the Cross-Spectrum / 9.6.2: |
The Bispectrum Technique / 9.7: |
The Bispectrum Transfer Function / 9.7.1: |
Recovering Full Object Information from the Bispectrum / 9.7.2: |
Speckle Correlography / 9.8: |
Linear Transformations of Speckle Fields / A: |
Contrast of Partially Developed Speckle / B: |
Statistics of Derivatives of Speckle / C: |
The Correlation Matrix / C.1: |
Joint Density Function of the Derivatives of Phase / C.2: |
Joint Density Function of the Derivatives of Intensity / C.3: |
Wavelength and Angle Dependence / D: |
Free-Space Geometry / D.1: |
Speckle Contrast with a Projected Diffuser / D.2: |
Random Phase Diffusers / E.1: |
Diffuser that Just Fills the Projection Optics / E.2: |
Diffuser that Overfills the Projection Optics / E.3: |
Sample Mathematica Programs for Simulating Speckle / F: |
Speckle Simulation With Free Space Propagation / G.1: |
Speckle Simulation With an Imaging Geometry / G.2: |
Bibliography |
Index |
Preface |
Origins and Manifestations of Speckle / 1: |
General Background / 1.1: |
Intuitive Explanation of the Cause of Speckle / 1.2: |
Some Mathematical Preliminaries / 1.3: |
Random Phasor Sums / 2: |