Modeling fluctuations in scattered waves. (©2006)

• Record Type: Book
• Further Information: Note: Eric C. Jakeman and Kevin D. Ridley.
• Other Names: Jakeman, E; Ridley, K. D (Kevin Dennis)
• Contents: STATISTICAL PRELIMINARIES; Introduction; Random Variables; Transformation of Variables; Wiener-Khinchin Theorem; The Karhunen-Loeve Expansion; Statistical Independence; Characteristic Functions and Generating Functions; Detection; References; THE GAUSSIAN PROCESS; Introduction; Independent Gaussian Variables; Correlated Gaussian Variables; Higher-Order Correlations; Gaussian Processes; Complex Gaussian Processes; Joint Statistical Properties; Properties of the Derivative of a Complex Gaussian Process; Joint Phase Derivative Statistics; References; PROCESSES DERIVED FROM GAUSSIAN NOTES; Introduction; Rice Variables; Rice Processes; Gamma Variables; Gamma Processes; Statistics of the Derivative of a Gamma Process; Compound Variables; Other Commonly Encountered Distributions; References; SCATTERING BY A COLLECTION OF DISCRETE OBJECTS: THE RANDOM WALK MODEL; Introduction; The Incident Wave; Moments of the Field Scattered by a Fixed Number of Small Particles; The Probability Distribution of the Scattered Wave; Variations in Step Length: Illumination by a Gaussian Beam; The Effect of Variations in Step Number; Intensity Correlation; Partially Developed Speckle; References; SCATTERING BY CONTINUOUS MEDIA: PHASE SCREEN MODELS; Introduction; Scattering Geometries; Time-Dependent Scattering; Scattering into the Fresnel Region; Fraunhofer Scattering; Scattering in Non-Gaussian Regimes; Surface Scattering; References; SCATTERING BY SMOOTHLY VARYING PHASE SCREENS; Introduction; "Smooth" Models for the Phase Correlation Function; Qualitative Features of Scattering by Smoothly Varying Phase Screens; Calculation of the Scintillation Index in the Fresnel Region; Predicted Behavior of the Scintillation Index in the Fresnel Region; Higher-Order Statistics in the Fresnel Region; Spatial Coherence Properties in the Fresnel Region; Calculation of the Scintillation Index in the Fraunhofer Region; Predicted Behavior of the Scintillation Index in the Far Field; Higher-Order Statistical Properties in the Far Field; Coherence Properties in the Far Field; Phase Statistics; References; SCATTERING BY FRACTAL PHASE SCREENS; Introduction; Scattering into the Fresnel Region by a Fractal Phase Screen; Scattering into the Fraunhofer Region by a Fractal; Phase Screen; Subfractal Phase Screens; Ray Density Fluctuations beyond a Subfractal Phase Screen; Coherence Properties of the Intensity Beyond a Subfractal Screen; Outer Scale Effects; Scattering into the Fraunhofer Region by a Subfractal Screen; Concluding Remarks; References; OTHER PHASE SCREEN MODELS; Introduction; Scattering by Smoothly Varying Gamma Distributed Phase Screens; Scattering by Fractal Gamma Distributed Phase Screens; Telegraph Wave Phase Screens; Scattering by Telegraph Wave Phase Screens ; Phase Statistics; Concluding Remarks; References; PROPAGATION THROUGH EXTENDED INHOMOGENEOUS MEDIA; Introduction; Single Phase Screen Approximation; Power-Law Models for the Refractive Index Spectrum; Multiple Phase Screens; Propagation of Electromagnetic Waves through Turbulence; Intensity Fluctuations; References; MULTIPLE SCATTERING: FLUCTUATIONS IN DOUBLE PASSAGE AND MULTIPATH SCATTERING GEOMETRIES; Introduction; Multiple Scattering in Particulates; Enhanced Backscattering through Continuous Media; A Phase Screen Model for Enhanced Backscattering; Fluctuations in Double Passage Configurations; Multipath Near Surfaces; References; VECTOR SCATTERING: POLARIZATION FLUCTUATIONS; Introduction; The Polarization Characteristics of Gaussian Speckle; Non-Gaussian Polarization Effects in Scattering by Particles; Correlation of Stokes Parameters in Particle Scattering; Scattering from Particles Near an Interface ; Polarization Fluctuations: Particles Near an Interface; References; K-DISTRIBUTED NOISE; Introduction; Experimental Evidence; A Population Model for Scatterer Number Fluctuations; Properties of the Scattered Intensity; Related Distributions; Statistical Mechanics; References; MEASUREMENT AND DETECTION; Introduction; Temporal Averaging of a Gamma-Lorentzian Process; Approximations for the Effect of Temporal and Spatial Integration; Averaging Signals with More than One Scale; Enhancement of Fluctuations Caused by Filtering; The Effect of Finite Dynamic Range; The Effect of Finite Measurement Time; Noise in Frequency Demodulation; Detection; Quantum Limited Measurements; References; NUMERICAL TECHNIQUES; Introduction; The Transformation of Random Numbers; Gaussian Random Numbers; The Telegraph Wave; The Gaussian Random Process; Non-Gaussian Processes; Simulation of Wave Propagation; Multiple Phase Screens; References
• Publisher Details: Boca Raton, FL : CRC Press
• Publication Date: 2006
• Copyright Date: 2006
• Extent: 1 online resource (313 pages), illustrations (some color)
• Subjects: 535/.430150151; Light -- Scattering -- Mathematical models; Laser beams -- Scattering -- Mathematical models; Fluctuations (Physics); Scattering (Physics); SCIENCE -- Physics -- Optics & Light; Electronic books
• Languages: English
• ISBNs: 9780750310055; 0750310057; 9781420012163; 1420012169; 1280513349; 9781280513343
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.