Scattering of Electromagnetic Waves (PDF)

Scattering of Electromagnetic Waves

Author:
Leung Tsang, Jin Au Kong & Kung-Hau Ding
Release at: 2000
Pages: 436
Edition:
First Edition
File Size: 37 MB
File Type: pdf
Language: English



Description of Scattering of Electromagnetic Waves (PDF)

Scattering of Electromagnetic Waves First Edition by Leung Tsang, Jin Au Kong & Kung-Hau Ding is a great book Electromagnetic available for PDF download. Electromagnetic wave scattering is an active, interdisciplinary area of research with myriad practical applications in fields ranging from atomic physics to medical imaging to geoscience and remote sensing. In particular, the subject of wave scattering by random discrete scatterers and rough surfaces presents great theoretical challenges due to the large degrees of freedom in these systems and the need to include multiple scattering effects accurately. In the past three decades, considerable theoretical progress has been made in elucidating and understanding the scattering processes involved in such problems.

Diagrammatic techniques and effective medium theories remain essential for analytical studies; however, rapid advances in computer technology have opened new doors for researchers with the full power of Monte Carlo simulations in the numerical analysis of random media scattering. Numerical simulations allow us to solve the Maxwell equations exactly without the limitations of analytical approximations, whose regimes of validity are often difficult to assess.

Thus it is our aim to present in these three volumes a balanced picture of both theoretical and numerical methods that are commonly used for tackling electromagnetic wave scattering problems. While our book places an emphasis on remote sensing applications, the materials covered here should be useful for students and researchers from a variety of backgrounds as in, for example, composite materials, photonic devices, optical thin films, lasers, optical tomography, and X-ray lithography. Introductory chapters and sections are also added so that the materials can be readily understood by graduate students. We hope he1 .p stimulate new ideas and innovative approaches to that our book would electromagnetic wave scattering in the years to come.




Content of Scattering of Electromagnetic Waves (PDF)


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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