Optical Correlation Techniques and Applications

Editor(s): Oleg V. Angelsky

Published: 2007

PDF ISBN: 9780819478368 | Print ISBN: 9780819465344

DESCRIPTION

This monograph examines selected applications of the optical correlation approaches and techniques in diverse problems of modern optics. These problems include linear singular optics of monochromatic, fully spatially coherent light fields; phase singularities in polychromatic (white-light) optical fields; optical correlation techniques for diagnostics of rough surfaces; and Mueller-matrix images of biological tissues and their statistical and fractal structures.

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Front Matter

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CHAPTER 1.

Introduction to Linear Singular Optics

Igor Mokhun

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1.1 Introduction
1.2 Basics of Scalar Singular Optics
1.2.1 Phase vortices
1.2.2 Topological charge and index of singular points: elementary topological reactions
1.2.3 Experimental observation and identification of vortices in scalar fields
1.2.4 Generation of vortices using computer-generated holograms
1.3 Vortices and the Phase Structure of a Scalar Field
1.3.1 Sign principle
1.3.2 “Breathing” of phase speckles
1.3.3 Birth of vortices
1.3.4 Appearance of wavefront dislocations as a result of interference of waves with simple phase surfaces
1.3.5 Topological indices of the field of intensity: extrema and “correlation” of phase and intensity
1.3.6 Vortex nets: phase skeleton of a scalar field
1.4 Singularities of a Vector Field
1.4.1 Disclinations: polarization singularities
1.4.2 Vortices of phase difference: sign principle for a vector field
1.4.3 “Correlation” of intensity and polarization of the vector field
1.4.4 Interconnection of the component vortices and C points
1.4.5 Elementary polarization structures and elementary polarization singularities of vector fields
1.4.6 Fine structure and averaged polarization characteristics of inhomogeneous vector fields
1.4.7 “Stokes formalism” for polarization singularites: “Stokes vortices”
1.5 Singularities of the Poynting Vector and the Structure of Optical Fields
1.5.1 General Assumptions: components of the Poynting vector
1.5.2 Singularities of the Poynting vector in scalar fields
1.5.3 Singularities of the Poynting vector at vector fields
Appendix A Wavefront Approximation
Appendix B Fourier Image of Isotropic Vortex
Appendix C Poynting Vector—The Paraxial Approximation
References

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CHAPTER 2.

Optical Correlation Diagnostics of Phase Singularities in Polychromatic Fields

Peter Polyanskii

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2.1 Introduction
2.2 Manifestations of Phase Singularities on the Strength of Scattering in White Light
2.2.1 Structural interference coloring
2.2.2 Interference coloring as a peculiar effect of singular optics
2.2.3 Experiment: the blue moon is tamed
2.3 Phase Singularities in Polychromatic Laguerre-Gaussian Modes (Rainbow Vortices) and the Young’s Diagnostics of Them
2.4 Optical Correlation Diagnostics of Phase Singularities in Polychromatic Speckle Fields
2.4.1 Interferometric diagnostics of spectral phase singularities in polychromatic speckle fields
2.4.2 Chromascopic processing of polychromatic speckle fields
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CHAPTER 3.

Optical Correlation Approaches in Rough Surface Characterization

Oleg Angelsky , Peter Maksimyak

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3.1 Introduction
3.2 Random Surfaces
3.2.1 Random phase screen model
3.2.2 Computer simulation
3.2.3 Experimental study
3.2.4 Optical correlation technique for characterizing of rough surfaces
3.3 Fractal Surfaces
3.3.1 Fractal approach
3.3.2 Simulation of rough surfaces
3.4 Interferometric Study of Phase Singularities in a Field Scattered by Rough Surfaces
3.4.1 Diffraction of optical radiation on cylindrical and spherical surfaces
3.4.2 Interferometric study of phase singularities in a field scattered by rough surfaces
3.5 Conclusions
References

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CHAPTER 4.

Statistical and Fractal Structure of Biological Tissue Mueller Matrix Images

Oleg Angelsky , Alexander Ushenko , Yuriy Ushenko

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4.1 Techniques for Diagnostics of Phase-Inhomogeneous Layer Structure
4.2 Stokes Parametric Description of Light Polarization
4.3 Statistical Analysis of Biological Tissue Polarization Properties
4.4 Self-Similarity Degree of Biological Tissue Polarization Properties
4.5 Mueller Matrix Method in Diagnostics of Pathological Changes of Biological Tissue
4.6 First- Through Fourth-Order Statistics of Biological Tissue Mueller Matrix Images
4.7 Diagnostic Possibilities of Statistic Analysis of Biological Tissue Mueller Matrix Images
4.8 Self-Similar (Fractal) 2D Mueller Matrix Structure of Biological Tissue
4.9 Reconstruction of the Orientation Structure of Biological Tissue Birefringent Architectonics Using their Mueller Matrix Images
4.10 Summary
References

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Back Matter

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