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A major topic in this book is the study of propagation and scattering of waves by randomly distributed particles. We first consider scattering by a single particle. This chapter and the next discuss and derive the scattering characteristics of a single particle. Both exact and solutions are studied. Scattering by a single . | Scattering of Electromagnetic Waves Theories and Applications 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 Chapter 1 INTRODUCTION TO ELECTROMAGNETIC SCATTERING BY A SINGLE PARTICLE 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 - 1 - 2 1 ELECTROMAGNETIC SCATTERING BY SINGLE PARTICLE A major topic in this book is the study of propagation and scattering of waves by randomly distributed particles. We first consider scattering by a single particle. This chapter and the next discuss and derive the scattering characteristics of a single particle. Both exact and solutions are studied. Scattering by a single particle is an important subject in electromagnetics and optics. There exist several excellent textbooks on this subject van de Hulst 1957 Kerker 1969 Bohren and Huffman 1983 . We will treat those topics that are pertinent to later chapters of multiple scattering by random discrete scatterers. 1 Basic Scattering Parameters 1.1 Scattering Amplitudes and Cross Sections Consider an electromagnetic plane wave impinging upon a