Leung Tsang, Jin Au Kong, Kung-Hau Ding
Scattering of Electromagnetic Waves (eBook, PDF)
Theories and Applications
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Leung Tsang, Jin Au Kong, Kung-Hau Ding
Scattering of Electromagnetic Waves (eBook, PDF)
Theories and Applications
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A timely and authoritative guide to the state of the art of wave scattering Scattering of Electromagnetic Waves offers in three volumes a complete and up-to-date treatment of wave scattering by random discrete scatterers and rough surfaces. Written by leading scientists who have made important contributions to wave scattering over three decades, this new work explains the principles, methods, and applications of this rapidly expanding, interdisciplinary field. It covers both introductory and advanced material and provides students and researchers in remote sensing as well as imaging, optics,…mehr
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A timely and authoritative guide to the state of the art of wave scattering Scattering of Electromagnetic Waves offers in three volumes a complete and up-to-date treatment of wave scattering by random discrete scatterers and rough surfaces. Written by leading scientists who have made important contributions to wave scattering over three decades, this new work explains the principles, methods, and applications of this rapidly expanding, interdisciplinary field. It covers both introductory and advanced material and provides students and researchers in remote sensing as well as imaging, optics, and electromagnetic theory with a one-stop reference to a wealth of current research results. Plus, Scattering of Electromagnetic Waves contains detailed discussions of both analytical and numerical methods, including cutting-edge techniques for the recovery of earth/land parametric information. The three volumes are entitled respectively Theories and Applications, Numerical Simulation, and Advanced Topics. In the first volume, Theories and Applications, Leung Tsang (University of Washington) Jin Au Kong (MIT), and Kung-Hau Ding (Air Force Research Lab) cover: * Basic theory of electromagnetic scattering * Fundamentals of random scattering * Characteristics of discrete scatterers and rough surfaces * Scattering and emission by layered media * Single scattering and applications * Radiative transfer theory and solution techniques * One-dimensional random rough surface scattering
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 440
- Erscheinungstermin: 24. März 2004
- Englisch
- ISBN-13: 9780471464235
- Artikelnr.: 37302044
- Verlag: John Wiley & Sons
- Seitenzahl: 440
- Erscheinungstermin: 24. März 2004
- Englisch
- ISBN-13: 9780471464235
- Artikelnr.: 37302044
Leung Tsang is the author of Scattering of Electromagnetic Waves: Theories and Applications, 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.
Introduction to Electromagnetic Scattering by a Single Particle. Basic Theory of Electromagnetic Scattering. Fundamentals of Random Scattering. Characteristics of Discrete Scatterers and Rough Surfaces. Scattering and Emission by Layered Media. Single Scattering and Applications. Radiative Transfer Theory. Solution Techniques of Radiative Transfer Theory. One-Dimensional Random Rough Surface Scattering. Index.
PREFACE xi CHAPTER 1 INTRODUCTION TO ELECTROMAGNETIC SCATTERING BY A SINGLE
PARTICLE 1 1 Basic Scattering Parameters 2 1.1 Scattering Amplitudes and
Cross Sections 2 1.2 Scattering Amplitude Matrix 6 2 Rayleigh Scattering 9
2.1 Rayleigh Scattering by a Small Particle 9 2.2 Rayleigh Scattering by a
Sphere 10 2.3 Rayleigh Scattering by an Ellipsoid 12 2.4 Scattering Dyads
14 3 Integral Representations of Scattering and Born Approximation 16 3.1
Integral Expression for Scattering Amplitude 16 3.2 Born Approximation 18 4
Plane Waves, Cylindrical Waves, and Spherical Waves 21 4.1 Cartesian
Coordinates: Plane Waves 21 4.2 Cylindrical Waves 22 4.3 Spherical Waves 24
5 Acoustic Scattering 30 6 Scattering by Spheres, Cylinders, and Disks 32
6.1 Mie Scattering 32 6.2 Scattering by a Finite Length Cylinder Using the
Infinite Cylinder Approximation 41 6.3 Scattering by a Disk Based on the
Infinite Disk Approximation 46 References and Additional Readings 52
CHAPTER 2 BASIC THEORY OF ELECTROMAGNETIC SCATTERING 53 1 Dyadic Green's
Function 54 1.1 Green's Functions 54 1.2 Plane Wave Representation 55 1.3
Cylindrical Waves 57 1.4 Spherical Waves 59 2 Huygens' Principle and
Extinction Theorem 60 3 Active Remote Sensing and Bistatic Scattering
Coefficients 66 4 Optical Theorem 68 5 Reciprocity and Symmetry 73 5.1
Reciprocity 73 5.2 Reciprocal Relations for Bistatic Scattering
Coefficients and Scattering Amplitudes 75 5.3 Symmetry Relations for Dyadic
Green's Function 79 6 Eulerian Angles of Rotation 81 7 T-Matrix 83 7.1
T-Matrix and Relation to Scattering Amplitudes 83 7.2 Unitarity and
Symmetry 88 8 Extended Boundary Condition 91 8.1 Extended Boundary
Condition Technique 91 8.2 Spheres 97 8.2.1 Scattering and Absorption for
Arbitrary Excitation 100 8.2.2 Mie Scattering of Coated Sphere 102 8.3
Spheroids 104 References and Additional Readings 106 CHAPTER 3 FUNDAMENTALS
OF RANDOM SCATTERING 107 1 Radar Equation for Conglomeration of Scatterers
108 2 Stokes Parameters and Phase Matrices 116 2.1 Elliptical Polarization,
Stokes Parameters, Partial Polarization 116 2.2 Stokes Matrix 123 2.3
Scattering per Unit Volume and Phase Matrix 124 2.4 Rayleigh Phase Matrix
127 2.5 Phase Matrix of Random Media 129 3 Fluctuating Fields 131 3.1
Coherent and Incoherent Fields 131 3.2 Probability Distribution of
Scattered Fields and Polarimetric Description 132 4 Specific Intensity 140
5 Passive Remote Sensing 145 5.1 Planck's Radiation Law and Brightness
Temperature 145 5.2 KirchhofT's Law 149 5.3 Fluctuation Dissipation Theorem
152 5.4 Emissivity of Four Stokes Parameters 155 6 Correlation Function of
Fields 161 References and Additional Readings 165 CHAPTER 4 CHARACTERISTICS
OF DISCRETE SCATTERERS AND ROUGH SURFACES 167 1 Ice 168 2 Snow 170 3
Vegetation 171 4 Atmosphere 172 5 Correlation Function and Pair
Distribution Function 173 5.1 Correlation Function 174 5.2 Pair
Distribution Function 176 6 Gaussian Rough Surface and Spectral Density 179
7 Soil and Rocky Surfaces 184 8 Ocean Surface 185 References and Additional
Readings 195 CHAPTER 5 SCATTERING AND EMISSION BY LAYERED MEDIA 199 1
Incoherent Approach of Radiative Transfer 200 2 Wave Approach 203 2.1
Reflection and Transmission 203 2.2 Dyadic Green's Function for Stratified
Medium 207 2.3 Brightness Temperatures for a Stratified Medium with
Temperature Distribution 212 3 Comparison Between Incoherent Approach and
Coherent Approach 217 4 Applications to Passive Remote Sensing of Soil 220
References and Additional Readings 229 CHAPTER 6 SINGLE SCATTERING AND
APPLICATIONS 231 1 Single Scattering and Particle Position Correlation 232
2 Applications of Single Scattering 237 2.1 Synthetic Aperture Radar 237
2.2 Interferometric SAR 248 2.3 Active Remote Sensing of Half-Space Random
Media 252 References and Additional Readings 258 CHAPTER 7 RADIATIVE
TRANSFER THEORY 259 1 Scalar Radiative Transfer Theory 260 2 Vector
Radiative Transfer Theory 269 2.1 Phase Matrix of Independent Scattering
269 2.2 Extinction Matrix 272 2.3 Emission Vector 275 2.4 Boundary
Conditions 283 References and Additional Readings 286 CHAPTER 8 SOLUTION
TECHNIQUES OF RADIATIVE TRANSFER THEORY 287 1 Iterative Method 288 1.1
Iterative Procedure 288 1.2 Integral Equation for Scattering Problems 293
1.3 Active Remote Sensing of a Half-Space of Spherical Particles 298 1.4
Active Remote Sensing of a Layer of Nonspherical Particles 303 1.4.1
Numerical Illustrations with Finite Dielectric Cylinders 310 1.5
Second-Order Scattering from Isotropic Point Scatterers 322 2 Discrete
Ordinate-Eigenanalysis Method 324 2.1 Radiative Transfer Solution for
Laminar Structures 324 2.2 Numerical Procedure of Discrete Ordinate Method:
Normal Incidence 328 2.3 Active Remote Sensing: Oblique Incidence 337 2.4
Discrete Ordinate Method for Passive Remote Sensing 343 2.5 Passive Remote
Sensing of a Three-Dimensional Random Medium 349 2.6 Passive Remote Sensing
of a Layer of Mie Scatterers Overlying a Dielectric Half-Space 352 3
Invariant Imbedding 362 3.1 One-Dimensional Problem 363 3.2 Passive Remote
Sensing of a Three-Dimensional Scattering Medium with Inhomogeneous
Profiles 370 3.3 Passive Remote Sensing of a Three-Dimensional Random
Medium 373 3.4 Thermal Emission of Layers of Spherical Scatterers in the
Presence of Inhomogeneous Absorption and Temperature Profiles 374 4
Diffusion Approximation 380 References and Additional Readings 386 CHAPTER
9 ONE-DIMENSIONAL RANDOM ROUGH SURFACE SCATTERING 389 1 Introduction 390 2
Statistics of Random Rough Surface 392 2.1 Statistics, Correlation Function
and Spectral Density 392 2.2 Characteristic Functions 396 3 Small
Perturbation Method 397 3.1 Dirichlet Problem for One-Dimensional Surface
397 3.2 Neumann Problem for One-Dimensional Surface 403 4 Kirchhoff
Approach 407 4.1 Dirichlet Problem for One-Dimensional Surface 408 4.2
Neumann Problem for One-Dimensional Surface 415 References and Additional
Readings 417 INDEX 419
PARTICLE 1 1 Basic Scattering Parameters 2 1.1 Scattering Amplitudes and
Cross Sections 2 1.2 Scattering Amplitude Matrix 6 2 Rayleigh Scattering 9
2.1 Rayleigh Scattering by a Small Particle 9 2.2 Rayleigh Scattering by a
Sphere 10 2.3 Rayleigh Scattering by an Ellipsoid 12 2.4 Scattering Dyads
14 3 Integral Representations of Scattering and Born Approximation 16 3.1
Integral Expression for Scattering Amplitude 16 3.2 Born Approximation 18 4
Plane Waves, Cylindrical Waves, and Spherical Waves 21 4.1 Cartesian
Coordinates: Plane Waves 21 4.2 Cylindrical Waves 22 4.3 Spherical Waves 24
5 Acoustic Scattering 30 6 Scattering by Spheres, Cylinders, and Disks 32
6.1 Mie Scattering 32 6.2 Scattering by a Finite Length Cylinder Using the
Infinite Cylinder Approximation 41 6.3 Scattering by a Disk Based on the
Infinite Disk Approximation 46 References and Additional Readings 52
CHAPTER 2 BASIC THEORY OF ELECTROMAGNETIC SCATTERING 53 1 Dyadic Green's
Function 54 1.1 Green's Functions 54 1.2 Plane Wave Representation 55 1.3
Cylindrical Waves 57 1.4 Spherical Waves 59 2 Huygens' Principle and
Extinction Theorem 60 3 Active Remote Sensing and Bistatic Scattering
Coefficients 66 4 Optical Theorem 68 5 Reciprocity and Symmetry 73 5.1
Reciprocity 73 5.2 Reciprocal Relations for Bistatic Scattering
Coefficients and Scattering Amplitudes 75 5.3 Symmetry Relations for Dyadic
Green's Function 79 6 Eulerian Angles of Rotation 81 7 T-Matrix 83 7.1
T-Matrix and Relation to Scattering Amplitudes 83 7.2 Unitarity and
Symmetry 88 8 Extended Boundary Condition 91 8.1 Extended Boundary
Condition Technique 91 8.2 Spheres 97 8.2.1 Scattering and Absorption for
Arbitrary Excitation 100 8.2.2 Mie Scattering of Coated Sphere 102 8.3
Spheroids 104 References and Additional Readings 106 CHAPTER 3 FUNDAMENTALS
OF RANDOM SCATTERING 107 1 Radar Equation for Conglomeration of Scatterers
108 2 Stokes Parameters and Phase Matrices 116 2.1 Elliptical Polarization,
Stokes Parameters, Partial Polarization 116 2.2 Stokes Matrix 123 2.3
Scattering per Unit Volume and Phase Matrix 124 2.4 Rayleigh Phase Matrix
127 2.5 Phase Matrix of Random Media 129 3 Fluctuating Fields 131 3.1
Coherent and Incoherent Fields 131 3.2 Probability Distribution of
Scattered Fields and Polarimetric Description 132 4 Specific Intensity 140
5 Passive Remote Sensing 145 5.1 Planck's Radiation Law and Brightness
Temperature 145 5.2 KirchhofT's Law 149 5.3 Fluctuation Dissipation Theorem
152 5.4 Emissivity of Four Stokes Parameters 155 6 Correlation Function of
Fields 161 References and Additional Readings 165 CHAPTER 4 CHARACTERISTICS
OF DISCRETE SCATTERERS AND ROUGH SURFACES 167 1 Ice 168 2 Snow 170 3
Vegetation 171 4 Atmosphere 172 5 Correlation Function and Pair
Distribution Function 173 5.1 Correlation Function 174 5.2 Pair
Distribution Function 176 6 Gaussian Rough Surface and Spectral Density 179
7 Soil and Rocky Surfaces 184 8 Ocean Surface 185 References and Additional
Readings 195 CHAPTER 5 SCATTERING AND EMISSION BY LAYERED MEDIA 199 1
Incoherent Approach of Radiative Transfer 200 2 Wave Approach 203 2.1
Reflection and Transmission 203 2.2 Dyadic Green's Function for Stratified
Medium 207 2.3 Brightness Temperatures for a Stratified Medium with
Temperature Distribution 212 3 Comparison Between Incoherent Approach and
Coherent Approach 217 4 Applications to Passive Remote Sensing of Soil 220
References and Additional Readings 229 CHAPTER 6 SINGLE SCATTERING AND
APPLICATIONS 231 1 Single Scattering and Particle Position Correlation 232
2 Applications of Single Scattering 237 2.1 Synthetic Aperture Radar 237
2.2 Interferometric SAR 248 2.3 Active Remote Sensing of Half-Space Random
Media 252 References and Additional Readings 258 CHAPTER 7 RADIATIVE
TRANSFER THEORY 259 1 Scalar Radiative Transfer Theory 260 2 Vector
Radiative Transfer Theory 269 2.1 Phase Matrix of Independent Scattering
269 2.2 Extinction Matrix 272 2.3 Emission Vector 275 2.4 Boundary
Conditions 283 References and Additional Readings 286 CHAPTER 8 SOLUTION
TECHNIQUES OF RADIATIVE TRANSFER THEORY 287 1 Iterative Method 288 1.1
Iterative Procedure 288 1.2 Integral Equation for Scattering Problems 293
1.3 Active Remote Sensing of a Half-Space of Spherical Particles 298 1.4
Active Remote Sensing of a Layer of Nonspherical Particles 303 1.4.1
Numerical Illustrations with Finite Dielectric Cylinders 310 1.5
Second-Order Scattering from Isotropic Point Scatterers 322 2 Discrete
Ordinate-Eigenanalysis Method 324 2.1 Radiative Transfer Solution for
Laminar Structures 324 2.2 Numerical Procedure of Discrete Ordinate Method:
Normal Incidence 328 2.3 Active Remote Sensing: Oblique Incidence 337 2.4
Discrete Ordinate Method for Passive Remote Sensing 343 2.5 Passive Remote
Sensing of a Three-Dimensional Random Medium 349 2.6 Passive Remote Sensing
of a Layer of Mie Scatterers Overlying a Dielectric Half-Space 352 3
Invariant Imbedding 362 3.1 One-Dimensional Problem 363 3.2 Passive Remote
Sensing of a Three-Dimensional Scattering Medium with Inhomogeneous
Profiles 370 3.3 Passive Remote Sensing of a Three-Dimensional Random
Medium 373 3.4 Thermal Emission of Layers of Spherical Scatterers in the
Presence of Inhomogeneous Absorption and Temperature Profiles 374 4
Diffusion Approximation 380 References and Additional Readings 386 CHAPTER
9 ONE-DIMENSIONAL RANDOM ROUGH SURFACE SCATTERING 389 1 Introduction 390 2
Statistics of Random Rough Surface 392 2.1 Statistics, Correlation Function
and Spectral Density 392 2.2 Characteristic Functions 396 3 Small
Perturbation Method 397 3.1 Dirichlet Problem for One-Dimensional Surface
397 3.2 Neumann Problem for One-Dimensional Surface 403 4 Kirchhoff
Approach 407 4.1 Dirichlet Problem for One-Dimensional Surface 408 4.2
Neumann Problem for One-Dimensional Surface 415 References and Additional
Readings 417 INDEX 419
Introduction to Electromagnetic Scattering by a Single Particle. Basic Theory of Electromagnetic Scattering. Fundamentals of Random Scattering. Characteristics of Discrete Scatterers and Rough Surfaces. Scattering and Emission by Layered Media. Single Scattering and Applications. Radiative Transfer Theory. Solution Techniques of Radiative Transfer Theory. One-Dimensional Random Rough Surface Scattering. Index.
PREFACE xi CHAPTER 1 INTRODUCTION TO ELECTROMAGNETIC SCATTERING BY A SINGLE
PARTICLE 1 1 Basic Scattering Parameters 2 1.1 Scattering Amplitudes and
Cross Sections 2 1.2 Scattering Amplitude Matrix 6 2 Rayleigh Scattering 9
2.1 Rayleigh Scattering by a Small Particle 9 2.2 Rayleigh Scattering by a
Sphere 10 2.3 Rayleigh Scattering by an Ellipsoid 12 2.4 Scattering Dyads
14 3 Integral Representations of Scattering and Born Approximation 16 3.1
Integral Expression for Scattering Amplitude 16 3.2 Born Approximation 18 4
Plane Waves, Cylindrical Waves, and Spherical Waves 21 4.1 Cartesian
Coordinates: Plane Waves 21 4.2 Cylindrical Waves 22 4.3 Spherical Waves 24
5 Acoustic Scattering 30 6 Scattering by Spheres, Cylinders, and Disks 32
6.1 Mie Scattering 32 6.2 Scattering by a Finite Length Cylinder Using the
Infinite Cylinder Approximation 41 6.3 Scattering by a Disk Based on the
Infinite Disk Approximation 46 References and Additional Readings 52
CHAPTER 2 BASIC THEORY OF ELECTROMAGNETIC SCATTERING 53 1 Dyadic Green's
Function 54 1.1 Green's Functions 54 1.2 Plane Wave Representation 55 1.3
Cylindrical Waves 57 1.4 Spherical Waves 59 2 Huygens' Principle and
Extinction Theorem 60 3 Active Remote Sensing and Bistatic Scattering
Coefficients 66 4 Optical Theorem 68 5 Reciprocity and Symmetry 73 5.1
Reciprocity 73 5.2 Reciprocal Relations for Bistatic Scattering
Coefficients and Scattering Amplitudes 75 5.3 Symmetry Relations for Dyadic
Green's Function 79 6 Eulerian Angles of Rotation 81 7 T-Matrix 83 7.1
T-Matrix and Relation to Scattering Amplitudes 83 7.2 Unitarity and
Symmetry 88 8 Extended Boundary Condition 91 8.1 Extended Boundary
Condition Technique 91 8.2 Spheres 97 8.2.1 Scattering and Absorption for
Arbitrary Excitation 100 8.2.2 Mie Scattering of Coated Sphere 102 8.3
Spheroids 104 References and Additional Readings 106 CHAPTER 3 FUNDAMENTALS
OF RANDOM SCATTERING 107 1 Radar Equation for Conglomeration of Scatterers
108 2 Stokes Parameters and Phase Matrices 116 2.1 Elliptical Polarization,
Stokes Parameters, Partial Polarization 116 2.2 Stokes Matrix 123 2.3
Scattering per Unit Volume and Phase Matrix 124 2.4 Rayleigh Phase Matrix
127 2.5 Phase Matrix of Random Media 129 3 Fluctuating Fields 131 3.1
Coherent and Incoherent Fields 131 3.2 Probability Distribution of
Scattered Fields and Polarimetric Description 132 4 Specific Intensity 140
5 Passive Remote Sensing 145 5.1 Planck's Radiation Law and Brightness
Temperature 145 5.2 KirchhofT's Law 149 5.3 Fluctuation Dissipation Theorem
152 5.4 Emissivity of Four Stokes Parameters 155 6 Correlation Function of
Fields 161 References and Additional Readings 165 CHAPTER 4 CHARACTERISTICS
OF DISCRETE SCATTERERS AND ROUGH SURFACES 167 1 Ice 168 2 Snow 170 3
Vegetation 171 4 Atmosphere 172 5 Correlation Function and Pair
Distribution Function 173 5.1 Correlation Function 174 5.2 Pair
Distribution Function 176 6 Gaussian Rough Surface and Spectral Density 179
7 Soil and Rocky Surfaces 184 8 Ocean Surface 185 References and Additional
Readings 195 CHAPTER 5 SCATTERING AND EMISSION BY LAYERED MEDIA 199 1
Incoherent Approach of Radiative Transfer 200 2 Wave Approach 203 2.1
Reflection and Transmission 203 2.2 Dyadic Green's Function for Stratified
Medium 207 2.3 Brightness Temperatures for a Stratified Medium with
Temperature Distribution 212 3 Comparison Between Incoherent Approach and
Coherent Approach 217 4 Applications to Passive Remote Sensing of Soil 220
References and Additional Readings 229 CHAPTER 6 SINGLE SCATTERING AND
APPLICATIONS 231 1 Single Scattering and Particle Position Correlation 232
2 Applications of Single Scattering 237 2.1 Synthetic Aperture Radar 237
2.2 Interferometric SAR 248 2.3 Active Remote Sensing of Half-Space Random
Media 252 References and Additional Readings 258 CHAPTER 7 RADIATIVE
TRANSFER THEORY 259 1 Scalar Radiative Transfer Theory 260 2 Vector
Radiative Transfer Theory 269 2.1 Phase Matrix of Independent Scattering
269 2.2 Extinction Matrix 272 2.3 Emission Vector 275 2.4 Boundary
Conditions 283 References and Additional Readings 286 CHAPTER 8 SOLUTION
TECHNIQUES OF RADIATIVE TRANSFER THEORY 287 1 Iterative Method 288 1.1
Iterative Procedure 288 1.2 Integral Equation for Scattering Problems 293
1.3 Active Remote Sensing of a Half-Space of Spherical Particles 298 1.4
Active Remote Sensing of a Layer of Nonspherical Particles 303 1.4.1
Numerical Illustrations with Finite Dielectric Cylinders 310 1.5
Second-Order Scattering from Isotropic Point Scatterers 322 2 Discrete
Ordinate-Eigenanalysis Method 324 2.1 Radiative Transfer Solution for
Laminar Structures 324 2.2 Numerical Procedure of Discrete Ordinate Method:
Normal Incidence 328 2.3 Active Remote Sensing: Oblique Incidence 337 2.4
Discrete Ordinate Method for Passive Remote Sensing 343 2.5 Passive Remote
Sensing of a Three-Dimensional Random Medium 349 2.6 Passive Remote Sensing
of a Layer of Mie Scatterers Overlying a Dielectric Half-Space 352 3
Invariant Imbedding 362 3.1 One-Dimensional Problem 363 3.2 Passive Remote
Sensing of a Three-Dimensional Scattering Medium with Inhomogeneous
Profiles 370 3.3 Passive Remote Sensing of a Three-Dimensional Random
Medium 373 3.4 Thermal Emission of Layers of Spherical Scatterers in the
Presence of Inhomogeneous Absorption and Temperature Profiles 374 4
Diffusion Approximation 380 References and Additional Readings 386 CHAPTER
9 ONE-DIMENSIONAL RANDOM ROUGH SURFACE SCATTERING 389 1 Introduction 390 2
Statistics of Random Rough Surface 392 2.1 Statistics, Correlation Function
and Spectral Density 392 2.2 Characteristic Functions 396 3 Small
Perturbation Method 397 3.1 Dirichlet Problem for One-Dimensional Surface
397 3.2 Neumann Problem for One-Dimensional Surface 403 4 Kirchhoff
Approach 407 4.1 Dirichlet Problem for One-Dimensional Surface 408 4.2
Neumann Problem for One-Dimensional Surface 415 References and Additional
Readings 417 INDEX 419
PARTICLE 1 1 Basic Scattering Parameters 2 1.1 Scattering Amplitudes and
Cross Sections 2 1.2 Scattering Amplitude Matrix 6 2 Rayleigh Scattering 9
2.1 Rayleigh Scattering by a Small Particle 9 2.2 Rayleigh Scattering by a
Sphere 10 2.3 Rayleigh Scattering by an Ellipsoid 12 2.4 Scattering Dyads
14 3 Integral Representations of Scattering and Born Approximation 16 3.1
Integral Expression for Scattering Amplitude 16 3.2 Born Approximation 18 4
Plane Waves, Cylindrical Waves, and Spherical Waves 21 4.1 Cartesian
Coordinates: Plane Waves 21 4.2 Cylindrical Waves 22 4.3 Spherical Waves 24
5 Acoustic Scattering 30 6 Scattering by Spheres, Cylinders, and Disks 32
6.1 Mie Scattering 32 6.2 Scattering by a Finite Length Cylinder Using the
Infinite Cylinder Approximation 41 6.3 Scattering by a Disk Based on the
Infinite Disk Approximation 46 References and Additional Readings 52
CHAPTER 2 BASIC THEORY OF ELECTROMAGNETIC SCATTERING 53 1 Dyadic Green's
Function 54 1.1 Green's Functions 54 1.2 Plane Wave Representation 55 1.3
Cylindrical Waves 57 1.4 Spherical Waves 59 2 Huygens' Principle and
Extinction Theorem 60 3 Active Remote Sensing and Bistatic Scattering
Coefficients 66 4 Optical Theorem 68 5 Reciprocity and Symmetry 73 5.1
Reciprocity 73 5.2 Reciprocal Relations for Bistatic Scattering
Coefficients and Scattering Amplitudes 75 5.3 Symmetry Relations for Dyadic
Green's Function 79 6 Eulerian Angles of Rotation 81 7 T-Matrix 83 7.1
T-Matrix and Relation to Scattering Amplitudes 83 7.2 Unitarity and
Symmetry 88 8 Extended Boundary Condition 91 8.1 Extended Boundary
Condition Technique 91 8.2 Spheres 97 8.2.1 Scattering and Absorption for
Arbitrary Excitation 100 8.2.2 Mie Scattering of Coated Sphere 102 8.3
Spheroids 104 References and Additional Readings 106 CHAPTER 3 FUNDAMENTALS
OF RANDOM SCATTERING 107 1 Radar Equation for Conglomeration of Scatterers
108 2 Stokes Parameters and Phase Matrices 116 2.1 Elliptical Polarization,
Stokes Parameters, Partial Polarization 116 2.2 Stokes Matrix 123 2.3
Scattering per Unit Volume and Phase Matrix 124 2.4 Rayleigh Phase Matrix
127 2.5 Phase Matrix of Random Media 129 3 Fluctuating Fields 131 3.1
Coherent and Incoherent Fields 131 3.2 Probability Distribution of
Scattered Fields and Polarimetric Description 132 4 Specific Intensity 140
5 Passive Remote Sensing 145 5.1 Planck's Radiation Law and Brightness
Temperature 145 5.2 KirchhofT's Law 149 5.3 Fluctuation Dissipation Theorem
152 5.4 Emissivity of Four Stokes Parameters 155 6 Correlation Function of
Fields 161 References and Additional Readings 165 CHAPTER 4 CHARACTERISTICS
OF DISCRETE SCATTERERS AND ROUGH SURFACES 167 1 Ice 168 2 Snow 170 3
Vegetation 171 4 Atmosphere 172 5 Correlation Function and Pair
Distribution Function 173 5.1 Correlation Function 174 5.2 Pair
Distribution Function 176 6 Gaussian Rough Surface and Spectral Density 179
7 Soil and Rocky Surfaces 184 8 Ocean Surface 185 References and Additional
Readings 195 CHAPTER 5 SCATTERING AND EMISSION BY LAYERED MEDIA 199 1
Incoherent Approach of Radiative Transfer 200 2 Wave Approach 203 2.1
Reflection and Transmission 203 2.2 Dyadic Green's Function for Stratified
Medium 207 2.3 Brightness Temperatures for a Stratified Medium with
Temperature Distribution 212 3 Comparison Between Incoherent Approach and
Coherent Approach 217 4 Applications to Passive Remote Sensing of Soil 220
References and Additional Readings 229 CHAPTER 6 SINGLE SCATTERING AND
APPLICATIONS 231 1 Single Scattering and Particle Position Correlation 232
2 Applications of Single Scattering 237 2.1 Synthetic Aperture Radar 237
2.2 Interferometric SAR 248 2.3 Active Remote Sensing of Half-Space Random
Media 252 References and Additional Readings 258 CHAPTER 7 RADIATIVE
TRANSFER THEORY 259 1 Scalar Radiative Transfer Theory 260 2 Vector
Radiative Transfer Theory 269 2.1 Phase Matrix of Independent Scattering
269 2.2 Extinction Matrix 272 2.3 Emission Vector 275 2.4 Boundary
Conditions 283 References and Additional Readings 286 CHAPTER 8 SOLUTION
TECHNIQUES OF RADIATIVE TRANSFER THEORY 287 1 Iterative Method 288 1.1
Iterative Procedure 288 1.2 Integral Equation for Scattering Problems 293
1.3 Active Remote Sensing of a Half-Space of Spherical Particles 298 1.4
Active Remote Sensing of a Layer of Nonspherical Particles 303 1.4.1
Numerical Illustrations with Finite Dielectric Cylinders 310 1.5
Second-Order Scattering from Isotropic Point Scatterers 322 2 Discrete
Ordinate-Eigenanalysis Method 324 2.1 Radiative Transfer Solution for
Laminar Structures 324 2.2 Numerical Procedure of Discrete Ordinate Method:
Normal Incidence 328 2.3 Active Remote Sensing: Oblique Incidence 337 2.4
Discrete Ordinate Method for Passive Remote Sensing 343 2.5 Passive Remote
Sensing of a Three-Dimensional Random Medium 349 2.6 Passive Remote Sensing
of a Layer of Mie Scatterers Overlying a Dielectric Half-Space 352 3
Invariant Imbedding 362 3.1 One-Dimensional Problem 363 3.2 Passive Remote
Sensing of a Three-Dimensional Scattering Medium with Inhomogeneous
Profiles 370 3.3 Passive Remote Sensing of a Three-Dimensional Random
Medium 373 3.4 Thermal Emission of Layers of Spherical Scatterers in the
Presence of Inhomogeneous Absorption and Temperature Profiles 374 4
Diffusion Approximation 380 References and Additional Readings 386 CHAPTER
9 ONE-DIMENSIONAL RANDOM ROUGH SURFACE SCATTERING 389 1 Introduction 390 2
Statistics of Random Rough Surface 392 2.1 Statistics, Correlation Function
and Spectral Density 392 2.2 Characteristic Functions 396 3 Small
Perturbation Method 397 3.1 Dirichlet Problem for One-Dimensional Surface
397 3.2 Neumann Problem for One-Dimensional Surface 403 4 Kirchhoff
Approach 407 4.1 Dirichlet Problem for One-Dimensional Surface 408 4.2
Neumann Problem for One-Dimensional Surface 415 References and Additional
Readings 417 INDEX 419