Description

Principles of Statistical Radiophysics is concerned with the theory of random func tions (processes and fields) treated in close association with a number of applications in physics. Primarily, the book deals with radiophysics in its broadest sense, i.e., l viewed as a general theory of oscillations and waves of any physical nature . This translation is based on the second (two-volume) Russian edition. It appears in four volumes: 1. Elements of Random Process Theory 2. Correlation Theory of Random Processes 3. Elements of Random Fields 4. Wave Propagation Through Random Media. The four volumes are, naturally, to a large extent conceptually interconnected (being linked, for instance, by cross-references); yet for the advanced reader each of them might be of interest on its own. This motivated the division of the Principles into four separate volumes. The text is designed for graduate and postgraduate students majoring in radio physics, radio engineering, or other branches of physics and technology dealing with oscillations and waves (e.g., acoustics and optics). As a rule, early in their career these students face problems involving the use of random functions. The book pro vides a sound basis from which to understand and solve problems at this level. In addition, it paves the way for a more profound study of the mathematical theory, should it be necessary2. The reader is assumed to be familiar with probability theory. 1. Wave Propagation in Media with Large-Scale Random Inhomogeneities. Geometrical Optics Method.- 1.1 Geometrical Optics Equations.- 1.2 Eikonal Fluctuations.- 1.3 Fluctuations of Arrival Angles, Ray Displacements and the Group Delay of Waves.- 1.4 Level Fluctuations.- 1.5 Fluctuations of Wave Characteristics in a Turbulent Troposphere.- 1.6 Mean Field and Coherence Functions.- 1.7 Exercises.- 2. Method of Smooth Perturbations.- 2.1 The Parabolic Equation Approximation and Its Derivation.- 2.2 Energy Conservation Law in the Parabolic Equation Approximation.- 2.3 Method of Smooth Perturbations.- 2.4 Analysis of MSP Results.- 2.5 Distribution of Amplitude and Phase Fluctuations. Energy Conservation and Limits of Applicability of MSP.- 2.6 Exercises.- 3. Wave Propagation in Random Media. The Markovian Approximation.- 3.1 General.- 3.2 Equations for Statistical Moments of Wave Fields in the Markovian Approximation.- 3.3 Mean Field and Second-Order Coherence Function.- 3.4 Fourth-Order Coherence Function and Intensity Fluctuations.- 3.5 Finite Longitudinal Correlation Radius of Fluctuations of e. Region of Validity of the Markovian Approximation.- 3.6 Exercises.- 4. Elements of Multiple Scattering.- 4.1 Perturbation Theory and the Diagram Technique for the Mean Field and Covariance.- 4.2 Mean Field of Point Sources in an Infinite Random Medium.- 4.3 Field Coherence Function. The Optical Theorem and Radiative Transfer Equation.- 4.4 Exercises.- 5. Rough Surface Scattering.- 5.1 Slightly Rough Surfaces. Perturbation Technique.- 5.2 Scattering from Large-Scale Roughness. Kirchhoff’s Technique.- 5.3 Additional Remarks. Other Approaches.- 5.4 Exercises.- References.