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 second volume, Numerical Simulations, Leung Tsang (University of Washington) Jin Au Kong (MIT), Kung-Hau Ding (Air Force Research Lab), and Chi On Ao (MIT) cover:
- Layered media simulations
- Rough surface and volume scattering simulations
- Dense media models and simulations
- Electromagnetic scattering by discrete scatterers and a buried object
- Scattering by vertical cylinders above a surface
- Electromagnetic waves scattering by vegetation
- Computational methods and programs used for performing various simulations
Table of Contents:
PREFACE xix
CHAPTER 1 MONTE CARLO SIMULATIONS OF LAYERED MEDIA 1
1 One-Dimensional Layered Media with Permittivity Fluctuations 2
2 Random Discrete Layering and Applications 8
CHAPTER 2 INTEGRAL EQUATION FORMULATIONS AND BASIC NUMERICAL METHODS 13
1 Integral Equation Formulation for Scattering Problems 14
2 Method of Moments 23
3 Discrete Dipole Approximation (DDA) 27
4 Product of Toeplitz Matrix and Column Vector 37
5 Conjugate Gradient Method 46
CHAPTER 3 SCATTERING AND EMISSION BY A PERIODIC ROUGH SURFACE 61
1 Dirichlet Boundary Conditions 62
2 Dielectric Periodic Surface: T-Matrix Method 68
3 Scattering of Waves Obliquely Incident on Periodic Rough Surfaces: Integral Equation Approach 85
4 Ewald's Method 93
CHAPTER 4 RANDOM ROUGH SURFACE SIMULATIONS 111
1 Perfect Electric Conductor (Non-Penetrable Surface) 114
2 Two-Media Problem 137
3 Topics of Numerical Simulations 154
4 Microwave Emission of Rough Ocean Surfaces 163
5 Waves Scattering from Real-Life Rough Surface Profiles 166
CHAPTER 5 FAST COMPUTATIONAL METHODS FOR SOLVING ROUGH SURFACE SCATTERING PROBLEMS 177
1 Banded Matrix Canonical Grid Method for Two-Dimensional Scattering for PEC Case 179
2 Physics-Based Two-Grid Method for Lossy Dielectric Surfaces 196
3 Steepest Descent Fast Multipole Method 212
4 Method of Ordered Multiple Interactions (MOMI) 242
5 Physics-Based Two-Grid Method Combined with the Multilevel Fast Multipole Method 249
CHAPTER 6 THREE-DIMENSIONAL WAVE SCATTERING FROM TWO-DIMENSIONAL ROUGH SURFACES 267
1 Scattering by Non-Penetrable Media 270
2 Integral Equations for Dielectric Surfaces 293
3 Two-Dimensional Rough Dielectric Surfaces with Sparse Matrix Canonical Grid Method 304
4 Scattering by Lossy Dielectric Surfaces with PBTG Method 326
5 Four Stokes Parameters Based on Tangential Surface Fields 350
6 Parallel Implementation of SMCG on Low Cost Beowulf System 354
CHAPTER 7 VOLUME SCATTERING SIMULATIONS 371
1 Combining Simulations of Collective Volume Scattering Effects with Radiative Transfer Theory 373
2 Foldy-Lax Self-Consistent Multiple Scattering Equations 376
3 Analytical Solutions of Point Scatterers 382
4 Monte Carlo Simulation Results of Point Scatterers 392
CHAPTER 8 PARTICLE POSITIONS FOR DENSE MEDIA CHARACTERIZATIONS AND SIMULATIONS 403
1 Pair Distribution Functions and Structure Factors 404
2 Percus—Yevick Pair Distribution Functions for Multiple Sizes 411
3 Monte Carlo Simulations of Particle Positions 414
4 Sticky Particles 424
5 Particle Placement Algorithm for Spheroids 444
CHAPTER 9 SIMULATIONS OF TWO-DIMENSIONAL DENSE MEDIA 453
1 Introduction 454
2 Random Positions of Cylinders 458
3 Monte Carlo Simulations of Scattering by Cylinders 469
4 Sparse-Matrix Canonical-Grid Method for Scattering by Many Cylinders 486
CHAPTER 10 DENSE MEDIA MODELS AND THREE-DIMENSIONAL SIMULATIONS 495
1 Introduction 496
2 Simple Analytical Models For Scattering From a Dense Medium 496
3 Simulations Using Volume Integral Equations 512
4 Numerical Simulations Using T-Matrix Formalism 533
CHAPTER 11 ANGULAR CORRELATION FUNCTION AND DETECTION OF BURIED OBJECT 551
1 Introduction 552
2 Two-Dimensional Simulations of Angular Memory Effect and Detection of Buried Object 553
3 Angular Correlation Function of Scattering by a Buried Object Under a 2-D Random Rough Surface (3-D
Scattering) 564
4 Angular Correlation Function Applied to Correlation Imaging in Target Detection 575
CHAPTER 12 MULTIPLE SCATTERING BY CYLINDERS IN THE PRESENCE OF BOUNDARIES 593
1 Introduction 594
2 Scattering by Dielectric Cylinders Above a Dielectric Half-Space 594
3 Scattering by Cylinders in the Presence of Two Reflective Boundaries 622
CHAPTER 13 ELECTROMAGNETIC WAVES SCATTERING BY VEGETATION 641
1 Introduction 642
2 Plant Modeling by Using L-Systems 644
3 Scattering from Trees Generated by L-Systems Based on Coherent Addition Approximation 654
4 Coherent Addition Approximation with Attenuation 667
5 Scattering from Plants Generated by L-Systems Based on Discrete Dipole Approximation 669
6 Rice Canopy Scattering Model 685
References and Additional Readings 691
INDEX 693
About the Author :
Leung Tsang is the author of Scattering of Electromagnetic Waves: Numerical Simulations, 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.
Review :
"this graduate textbook presents numerical simulation techniques and results for electromagnetic wave scattering in random media and rough surfaces..." (SciTech Book News, Vol. 25, No. 3, September 2001)
