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PREFACE
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In 5, we consider scattering and emission by plane-parallel layered media, which provide simple but very useful models for geophysical remote sensing. We solve this problem in two different ways: the coherent or wave approach, which is exact, versus the incoherent or radiative transfer approach. This gives us some insights into the approximations involved in RT theory. In 6, we discuss the single scattering approximation, where each particle is assumed to scatter independently. However, we take into account of the phase coherence in the addition of scattered fields. We demonstrate the existence of an interesting correlation effect in random media scattering known as the memory effect. As will be shown in Volumes II and III, this effect persists even when multiple scattering is included. Applications of single scattering to synthetic aperture radar (SAR) and random media scattering are also discussed. In s 7 and 8, we take a closer look at the radiative transfer equation and its solutions. The iterative method is useful when scattering is weak and provides physical correspondence with different orders of multiple scattering. When scattering is strong, the discrete ordinate eigenanalysis approach can be used to obtain numerically exact solutions. For scattering media with inhomogeneous profiles, the method of invariant imbedding can be applied. Diffusion approximation is useful when, upon multiple scattering, the intensities have been diffused almost uniformly in all directions. We illustrate these solution techniques with extensive examples from active and passive microwave remote sensing. In 9, we discuss wave scattering by random rough surfaces. Despite much theoretical and numerical efforts, the two "classical" analytical approximations of small perturbation method and Kirchhoff approach are still the simplest and most widely used analytical methods for solving rough surface problems. Here they are illustrated using one-dimensional rough sUrfaces with Dirichlet and Neumann boundary conditions. Two-dimensional rough surface scattering problems are discussed extensively in Volumes II and III. Acknowledgments We would like to acknowledge the collaboration with our colleagues and graduate students. In particular, we wish to thank Professor Chi Chan of City University of Hong Kong, Professor Joel T. Johnson of Ohio State University, Dr. Robert T. Shin of MIT Lincoln Laboratory, and Dr. Dale Winebrenner of University of Washington. The graduate students who completed their Ph.D. theses from the University of Washington on random media scattering include Boheng Wen (1989), Kung-Hau Ding (1989), Shu-Hsiang Lou
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PREFACE
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(1991), Charles E. Mandt (1992), Richard D. West (1994), Zhengxiao Chen (1994), Lisa M. Zurk (1995), Kyung Pak (1996), Guifu Zhang (1998), and Qin Li (2000). Much of their dissertation works are included in this book. Financial supports from the Air Force Office of Scientific Research, Army Research Office, National Aeronautics and Space Administration, National Science Foundation, Office of Naval Research, and Schlumberger-Doll Research Center for research materials included in this book are gratefully acknowledged. Special thanks are due to Chite Chen for her contributions on the MATLAB programs, Henning Braunisch for careful proofreading on parts of the manuscript, and Bae-Ian Wu for production assistance. We would also like to thank Chi On Ao for his help in editing and typsetting the manuscript.
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Leung Tsang Seattle, Washington Jin Au Kong Cambridge, Massachusetts Kung-Hau Ding Hanscom AFB, Massachusetts May 2000
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Scattering of Electromagnetic Waves: Theories and Applications Leung Tsang, Jin Au Kong, Kung-Hau Ding Copyright 2000 John Wiley & Sons, Inc. ISBNs: 0-471-38799-1 (Hardback); 0-471-22428-6 (Electronic)
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INTRODUCTION TO ELECTROMAGNETIC SCATTERING BY A SINGLE PARTICLE
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Basic Scattering Parameters Scattering Amplitudes and Cross Sections Scattering Amplitude Matrix Rayleigh Scattering Rayleigh Scattering by a Small Particle Rayleigh Scattering by a Sphere Rayleigh Scattering by an Ellipsoid Scattering Dyads 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 References and Additional Readings
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