Electromagnetic Scattering

0.1 Introduction The present volume is about the physics of electromagnetic scattering, not mathematics, and is intended as a reference book for engineering and physics students as well as researchers in electromagnetic scattering. Although the subject is on electromagnetic scattering, acoustic or scalar scattering will be discussed occasionally when it is deemed helpful and advantageous. In the current decade we are witnessing an emergence of inverse scattering theory. Before we embark on this exciting journey, perhaps this is an appropriate time to summarize and assess in one volume some of the important re­ sults of electromagnetic scattering which have been found in recent decades. Since the end of WW II two significant physical phenomena in electromag­ netic scattering, optimal polarization and exterior resonant frequencies, have been discovered and a powerful mathematical technique, called the integral equation method, has been incorporated. These physical quantities, which characterize the scattered field for a given scatterer, are not directly observ­ able but can only be extracted by mathematical means from the measured scattering data. They are given special attention. The Present Book Discusses The Physics Of Electromagnetic Scattering. It Is Intended As A Reference Book For Engineering And Physics Graduate Students As Well As Researchers In These Fields. In Addition To Electromagnetic Scattering, The Acoustic Or Scalar Scattering Is Also Occasionally Discussed, As Related To The Electromagnetic Phenomena. Traditional Textbooks Treat The Subject Of Polarization Less Than Fully, Despite The Fact That It Bears Fundamentally On Electromagnetic Scattering, For Example In Radar Detection Of Scatterers. This Book Addresses This Phenomena In A Systematic Way. Much Of The Material Of The Book Is Drawn From The Author's Own Research At The University Of Michigan. Front Matter....Pages i-xvii Integral Representations for Fields....Pages 1-45 Polarization....Pages 46-92 Scattering Matrix....Pages 93-131 Optimal Polarizations....Pages 132-165 Scattering from Moderately Rough Surfaces....Pages 166-182 Scattering from a Stratified Medium....Pages 183-199 Review of Potential Theory....Pages 200-215 Fredholm Alternative....Pages 216-228 Integral Equation Method....Pages 229-295 Exterior Resonant Frequencies....Pages 296-330 Back Matter....Pages 331-389 Contents: Integral Representations for Fields Polarization Scattering Matrix Optimal Polarizations Scattering from Moderately Rough Surfaces Scattering from a Stratified Medium Review of Potential Theory Fredholm Alternative Integral Equation Method Exterior Resonant Frequencies Diagonalization of an S-matrix A Deficient System of Equations Reflection-coefficient Matrix Statistical Averages The Cauchy Integral and Potential Functions Decomposition of a Plane Wave Index.