Principles of Statistical Radiophysics 4

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.