Scattering of Electromagnetic Waves

Leung Tsang is the author of Scattering of Electromagnetic Waves: Advanced Topics, published by Wiley. Jin Au Kong was an American expert in applied electromagnetics. He was a 74th-generation lineal descendent of the famous Chinese philosopher Confucius.

"Here they [the authors] delve deeper into the topics raised in the first two volumes..." (SciTech Book News, Vol. 25, No. 3, September 2001)

• PREFACE xiiiCHAPTER 1 TWO-DIMENSIONAL RANDOM ROUGH SURFACE SCATTERING BASED ON SMALL PERTURBATION METHOD 11 Electromagnetic Wave Scattering by a Perfect Electric Conductor 21.1 Zeroth- and First-Order Solutions 71.2 Second-Order Solutions 112 Electromagnetic Wave Scattering by a Dielectric Rough Surface 182.1 Zeroth- and First-Order Solutions 272.2 Second-Order Solutions 363 Coherent Reflection, Emissivities, and Bistatic Scattering Coefficients of Random Dielectric Surfaces 473.1 Coherent Reflection 483.2 Emissivities of Four Stokes Parameters 513.3 Bistatic Scattering Coefficients 58References and Additional Readings 61CHAPTER 2 KIRCHHOFF APPROACH AND RELATED METHODS FOR ROUGH SURFACE SCATTERING 651 Kirchhoff Approach 661.1 Perfectly Conducting Rough Surface 661.2 Dielectric Rough Surfaces 721.3 Second-Order Slope Corrections 942 Phase Perturbation Method 1013 Emissivity Based on Composite Surface Model 108References and Additional Readings 118CHAPTER 3 VOLUME SCATTERING: CASCADE OF LAYERS 1211 Single Scattering Solution of a Thin Layer, Coherent Wave, and Effective Propagation Constant 1222 Transition Operator 1283 Electromagnetic Wave Case of a Thin Layer and Extinction Matrix 1304 First- and Second-Order Solutions: Incoherent Waves 1355 Cascading of Layers: From First- and Second-Order Wave Solutions to Radiative Transfer Equation 1436 Effects of Clustering 150References and Additional Readings 160CHAPTER 4 ANALYTIC WAVE THEORY FOR A MEDIUM WITH PERMITTIVITY FLUCTUATIONS 1611 Dyson's Equation for the Mean Field 1621.1 Bilocal Approximation 1671.2 Nonlinear Approximation 1702 Second Moment of the Field 1712.1 Bethe-Salpeter Equation 1712.2 Energy Conservation 1753 Strong Permittivity Fluctuations 1783.1 Random Medium with Spherically Symmetric Correlation Function 1793.2 Very Low Frequency Effective Permittivity 1813.3 Effective Permittivity Under the Bilocal Approximation 1823.4 Backscattering Coefficients 1853.5 Results of Effective Permittivity and Bistatic Coefficients 187References and Additional Readings 194CHAPTER 5 MULTIPLE SCATTERING THEORY FOR DISCRETE SCATTERERS 1971 Transition Operator 1982 Multiple Scattering Equations 2033 Approximations of Multiple Scattering Equations 2043.1 Configurational Average of Multiple Scattering Equations 2053.2 Effective Field Approximation (EFA, Foldy's Approximation) 2073.3 Quasi-crystalline Approximation (QCA) 2103.4 Coherent Potential (CP) 2133.5 Quasi-crystalline Approximation with Coherent Potential (QCA-CP) 2163.6 Low-Frequency Solutions 2193.7 QCA-CP for Multiple Species of Particles 2244 Ward's Identity and Energy Conservation 2265 Derivation of Radiative Transfer Equation from Ladder Approximation 232References and Additional Readings 241CHAPTER 6 QUASI-CRYSTALLINE APPROXIMATION IN DENSE MEDIA SCATTERING 2451 Scattering of Electromagnetic Waves from a Half-Space of Dielectric Scatterers— Normal Incidence 2461.1 Coherent Wave Propagation 2471.2 Effective Phase Velocity and Attenuation Rate in the Low-Frequency Limit 2571.3 Dispersion Relations at Higher Frequencies 2592 Scattering of Electromagnetic Waves from a Half-Space of Dielectric Scatterers—Oblique Incidence 2662.1 Dispersion Relation and Coherent Reflected Wave 2662.2 Vertically and Horizontally Polarized Incidence 2753 Cases with Size Distributions 2803.1 Coherent Field 2813.2 Incoherent Field Using Distorted Born Approximation 2874 Dense Media Radiative Transfer Theory Based on Quasi-crystalline Approximation 3004.1 Phase Matrix, Extinction, Scattering, and Absorption Coefficients 3014.2 Brightness Temperature Computed with QCA-based DMRT 3074.3 Numerical Results for Sticky and Non-Sticky Particles 309References and Additional Readings 319CHAPTER 7 DENSE MEDIA SCATTERING 3231 Introduction 3242 Effective Propagation Constants, Mean Green's Function, and Mean Field for Half-Space DiscreteRandom Medium of Multiple Species 3253 Derivation of Dense Media Radiative Transfer Equation (DMRT) 3294 Dense Media Radiative Transfer Equations for Active Remote Sensing 3405 General Relation between Active and Passive Remote Sensing with Temperature Distribution 3446 Dense Media Radiative Transfer Equations for Passive Remote Sensing 3497 Numerical Illustrations of Active and Passive Remote Sensing 351References and Additional Readings 357CHAPTER 8 BACKSCATTERING ENHANCEMENT 3591 Introduction 3601.1 Volume Scattering 3611.2 Volume Scattering in the Presence of Reflective Boundary 3622 Second-Order Volume Scattering Theory of Isotropic Point Scatterers 3663 Summation of Ladder Terms and Cyclical Terms for Isotropic Point Scatterers 3743.1 Formulation 3753.2 Numerical Illustrations 3804 Anisotropic Scatterers and Diffusion Approximation 3854.1 Summation of Ladder Terms and Cyclical Terms 3864.2 Unidirectional Point Source Green's Function 3914.3 Second-Order Multiple-Scattering Theory 3934.4 Diffusion Approximation 3954.5 Numerical Results 399References and Additional Readings 403INDEX 407