Electromagnetic Wave Scattering from Random Rough Surfaces: Asymptotic Models

Cover......Page 1
Title Page 
......Page 5
Contents......Page 7
Preface
......Page 11
Introduction
......Page 12
1.1. Introduction......Page 13
1.2.1. Maxwell equations and boundary conditions......Page 14
1.2.2. Propagation of a plane wave (Helmholtz equation and plane wave)......Page 17
1.2.3. Incident wave at an interface: polarization......Page 19
1.3.1. Statistical description of random rough surfaces......Page 24
1.3.2. Specific case of sea surfaces......Page 31
1.3.3. Electromagnetic roughness and Rayleigh roughness criterion......Page 33
1.4.1. Presentation of the problem (2D/3D)......Page 40
1.4.2. Huygens’ principle and extinction theorem......Page 42
1.4.3. Green functions (2D/3D)......Page 45
1.4.4. Scattered powers and scattering coefficients......Page 48
CHAPTER 2. DERIVATION OF THE SCATTERED FIELD UNDER ASYMPTOTIC MODELS......Page 53
2.1.1. Introduction......Page 54
2.1.2. Rigorous models......Page 55
2.1.3. Asymptotic models......Page 56
2.1.4. General properties of scattering......Page 64
2.1.5. A few details on the KA and the GO......Page 67
2.2.1. KA in reflection and transmission with shadowing effect for 2D problems......Page 70
2.2.2. Extension of the KA model to 3D problems......Page 74
2.3.1. Context and specific notations......Page 81
2.3.2. The small perturbation model......Page 83
2.3.3. The Kirchhoff approximation–high-frequency regime......Page 85
2.3.5. The small slope approximation......Page 87
2.3.7. The resonant curvature approximation......Page 88
2.3.8. Validation of the different asymptotic numerical models for 2D problems......Page 89
CHAPTER 3. DERIVATION OF THE NORMALIZED RADAR CROSS-SECTION UNDER ASYMPTOTIC MODELS......Page 93
3.1.1. Incoherent NRCS under the GO with shadowing effect for 2D problems......Page 94
3.1.2. Calculation of the bistatic shadowing functions in reflection and transmission......Page 98
3.2.1. General properties of the GO for 2D problems......Page 109
3.2.2. Study of energy conservation under the GO for 2D problems......Page 111
3.3. Scattering coefficients under the GO with shadowing effect for 3D problems......Page 120
3.4. Energy conservation of the GO model for 3D problems......Page 123
3.4.1. Case of a perfectly conducting lower medium......Page 124
3.4.2. Case of a lossless dielectric lower medium......Page 127
3.5. Scattering in reflection for 3D problems under various asymptotic models......Page 129
3.5.2. Expression of the NRCS under the GO......Page 130
3.5.4. Validation and comparison of the different asymptotic analytical models for 2D problems......Page 131
3.5.5. Comparison between numerical and analytical asymptotic models for 3D problems......Page 133
APPENDIX 1. FAR-FIELD SCATTERED FIELDS UNDER THE METHOD OF STATIONARY PHASE......Page 137
APPENDIX 2. CALCULATION OF THE SCATTERING COEFFICIENTS UNDER THE GO FOR 3D PROBLEMS......Page 143
Bibliography
......Page 149
Index
......Page 161