SCATTERING OF ELECTROMAGNETIC WAVES

ELECTROMAGNETIC WAVES
 
Author:
Leung Tsang, Jin Au Kong & Kung-Hau Ding
Publisher: John Wiley & Sons
ISBN No: 0-47 1 -38799-7 
Release at: 2000
Pages: 436
Edition:
First Edition
File Size: 37 MB
File Type: pdf
Language: English



Content of SCATTERING OF ELECTROMAGNETIC WAVES



CHAPTER 1
INTRODUCTION TO ELECTROMAGNETIC SCATTERING BY A SINGLE PARTICLE
Basic Scattering Parameters 2
Scattering Amplitudes and Cross Sections 2
Scattering Amplitude Matrix 6
Rayleigh Scattering 9
Rayleigh Scattering by a Small Particle 9
Rayleigh Scattering by a Sphere 10
Rayleigh Scattering by an Ellipsoid 12
Scattering Dyads 14
Integral Representations of Scattering and
Born Approximation
Integral Expression for Scattering Amplitude
Born Approximation
Plane Waves, Cylindrical Waves, and
Spherical Waves
Cartesian Coordinates: Plane Waves
Cylindrical Waves
Spherical Waves
Acoustic Scattering
Scattering by Spheres, Cylinders, and Disks
Mie Scattering
Scattering by a Finite Length Cylinder Using the Infinite
Cylinder Approximation
Scattering by a Disk Based on the Infinite Disk Approximation 46
References and Additional Readings 52
CHAPTER 2
BASIC THEORY OF ELECTROMAGNETIC SCATTERING 53
Dyadic Green’s Function
Green’s Functions
Plane Wave Represent at ion
Cylindrical Waves
Spherical Waves
Huygens’ Principle and Extinction Theorem
Active Remote Sensing and Bistatic Scattering
Coefficients
Optical Theorem
Reciprocity and Symmetry
Reciprocity
Reciprocal Relations for Bistatic Scattering Coefficients and
Scattering Amplitudes
Symmetry Relations for Dyadic Green’s Function
Eulerian Angles of Rotation
T-Matrix
T-Matrix and Relation to Scattering Amplitudes
Unitarity and Symmetry
Extended Boundary Condition
Extended Boundary Condition Technique
Spheres
8.2.1 Scattering and Absorption for Arbitrary Excitation
8.2.2 Mie Scattering of Coated sphere
Spheroids
References and Additional Readings
CHAPTER 3
FUNDAMENTALS OF RANDOM SCATTERING
Radar Equation for Conglomeration of Scatterers
Stokes Parameters and Phase Matrices
Elliptical Polarization, Stokes Parameters, Partial
Polarization
Stokes Matrix
Scattering per Unit Volume and Phase Matrix
Rayleigh Phase Matrix
Phase Matrix of Random Media
Fluctuating Fields
Coherent and Incoherent Fields
Probability Distribution of Scattered Fields and Polarimetric
Description 132
Specific Intensity 140
Passive Remote Sensing 145
Planck’s Radiation Law and Brightness Temperature 145
Kirchhoff’s Law 149
Fluctuation Dissipation Theorem 152
Emissivity of Four Stokes Parameters 155
Correlation Function of Fields 161
References and Additional Readings 165
CHAPTER 4
CHARACTERISTICS OF DISCRETE SCATTERERS AND
ROUGH SURFACES
1 Ice 168
2 Snow 170
3 Vegetation 171
4 Atmosphere 172
Correlation Function and Pair Distribution
Function
Correlation Function
Pair Distribution Function
Gaussian Rough Surface and Spectral Density
Soil and Rocky Surfaces
Ocean Surface
References and Additional Readings
CHAPTER 5
SCATTERING AND EMISSION BY LAYERED MEDIA . . .
Incoherent Approach of Radiative Transfer
Wave Approach
Reflection and Transmission
Dyadic Green’s Function for Stratified Medium
Brightness Temperatures for a Stratified Medium with
Temperature Distribution
Comparison Between Incoherent Approach and
Coherent Approach
Applications to Passive Remote Sensing of Soil
References and Additional Readings
CHAPTER 6
SINGLE SCATTERING AND APPLICATIONS.. . . . . . . . .
1 Single Scattering and Particle Position Correlation
2 Applications of Single Scattering
21 . Synthetic Aperture Radar
22 . Interferometric SAR
23 . Active Remote Sensing of Half-Space Random Media
References and Additional Readings
CHAPTER 7
RADIATIVE TRANSFER THEORY . . . . . . . . . . . . . . . . . . . . . . . . 259
1 Scalar Radiative Transfer Theory 260
2 Vector Radiative Transfer Theory 269
21 . Phase Matrix of Independent Scattering 269
22 . Extinction Matrix 272
23 . Emission Vector 275
24 . Boundary Conditions 283
References and Additional Readings 286
CHAPTER 8
SOLUTION TECHNIQUES OF RADIATIVE
TRANSFER THEORY
Iterative Method 288
Iterative Procedure 288
Integral Equation for Scattering Problems 293
Active Remote Sensing of a Half-Space of Spherical Particles 298
Active Remote Sensing of a Layer of Nonspherical Particles 303
1.4.1 Numerical IIIustrations with Finite Dielectric Cylinders 310
Second-Order Scattering from Isotropic Point Scatterers 322
Discrete Ordinate-Eigenanalysis Method 324
Radiative Transfer Solution for Laminar Structures 324
Numerical Procedure of Discrete Ordinate Method: Normal
Incidence 328
Active Remote Sensing: Oblique Incidence 337
Discrete Ordinate Method for Passive Remote Sensing 343
Passive Remote Sensing of a Three-Dimensional Random
Medium 349
Passive Remote Sensing of a Layer of Mie Scatterers
Overlying a Dielectric Half-Space 352
Invariant Imbedding
One-Dimensional Problem
Passive Remote Sensing of a Three-Dimensional Scattering
Medium with Inhomogeneous Profiles
Passive Remote Sensing of a Three-Dimensional Random
Medium
Thermal Emission of Layers of Spherical Scatterers in the
Presence of Inhomogeneous Absorption and Temperature
Profiles
Diffusion Approximation
References and Additional Readings
CHAPTER 9
ONE-DIMENSIONAL RANDOM ROUGH SURFACE
SCATTERING
1 Introduction
2 Statistics of Random Rough Surface
21 . Statistics, Correlation Function and Spectral Density
22 . Characteristic Functions
3 Small Perturbation Method
31 . Dirichlet Problem for One-Dimensional Surface
32 .Neumann Problem for One-Dimensional Surface
4 Kirchhoff Approach
41 .Dirichlet Problem for One-Dimensional Surface
42 . Neumann Problem for One-Dimensional Surface
References and Additional Readings
INDEX

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