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