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Informationen zum Autor Andrey Osipov, Microwaves and Radar Institute, German Aerospace Center (DLR), Germany. Sergei Tretyakov, Department of Radio Science and Engineering, Aalto University, Finland. Klappentext This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics Zusammenfassung This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. Inhaltsverzeichnis Preface xi Acknowledgements xiii List of Abbreviations xv 1 Introduction 1 1.1 Scattering and Diffraction Theory 1 1.2 Books on Related Subjects 3 1.3 Concept and Outline of the Book 5 References 8 2 Fundamentals of Electromagnetic Scattering 11 2.1 Introduction 11 2.2 Fundamental Equations and Conditions 11 2.2.1 Maxwell's Equations 12 2.2.2 Constitutive Relations 12 2.2.3 Time-harmonic Scattering Problems 19 2.3 Approximate Boundary Conditions 26 2.3.1 Impedance Boundary Conditions 26 2.3.2 Generalized (Higher-order) Impedance Boundary Conditions 31 2.3.3 Sheet Transition Conditions 32 2.4 Fundamental Properties of Time-harmonic Electromagnetic Fields 35 2.4.1 Energy Conservation and Uniqueness 35 2.4.2 Reciprocity 39 2.5 Basic Solutions of Maxwell's Equations in Homogeneous Isotropic Media 42 2.5.1 Plane, Spherical, and Cylindrical Waves 43 2.5.2 Electromagnetic Potentials and Fields of External Currents 46 2.5.3 Tensor Green's Function 50 2.5.4 E and H Modes 54 2.5.5 Fields with Translational Symmetry 58 2.6 Electromagnetic Formulation of Huygens' Principle 61 2.6.1 Compact Scatterers 62 2.6.2 Cylindrical Scatterers 67 2.7 Problems 70 References 84 3 Far-field Scattering 87 3.1 Introduction 87 3.2 Scattering Cross Section 87 3.2.1 Monostatic and Bistatic, Backscattering and Forward-scattering Cross Sections, Differential, Total, Absorption, and Extinction Cross Sections 87 3.2.2 Scattering Width 91 3.2.3 Backscattering from Impedance-matched Bodies 93 3.3 Scattering Matrix 95 3.3.1 Definition 95 3.3.2 Scattering Matrix in Spherical Coordinates 97 3.3.3 Scattering Matrix in the Plane of Scattering Coordinates 99 3.4 Far-field Coefficient 101 3.4.1 Integral Representations and Far-field Conditions 102 3.4.2 Reciprocity of Scattered Fields 106 3.4.3 Forward Scattering 108 3.4.4 Cylindrical Bodies 113 3.5 Scattering Regimes 120 3.5.1 Resonant-size Scatterers 120 3.5.2 Electrically Large Scatterers 121 3.6 Electrically Small Scatterers 125 3.6.1 Physics of Dipole Scattering 126 3.6.2 Dipole Scattering in Terms of Polarizability Tensors 129 3.6.3 Magneto-dielectric Ellipsoid 131 3.6.4 Rotationally Symmetric Particles 137 3.7 Problems 148 References 162 4 Planar Interfaces 165 4.1 Introduction 165 4.2 Interface of Two Homogeneous Semi-infinite Media 167 4.2.1 Reflection and Transmission Coefficients 167 4.2.2 Brewster's Angle 173 4.2.3 Total Internal Reflection 173 4.2.4 Interfaces with Double-negative Materials 176 4.2.5 Surface Waves 177 4.2.6 Vector Solution of Reflection and Transmission Problems 179 4.3 Arbitrary Number of ...
