Integral equation methods for electromagnetics

This text/reference is a detailed look at the development and use of integral equation methods for electromagnetic analysis, specifically for antennas and radar scattering. Developers and practitioners will appreciate the broad-based approach to understanding and utilizing integral equation methods and the unique coverage of historical developments that led to the current state-of-the-art. In contrast to existing books, Integral Equation Methods for Electromagnetics lays the groundwork in the initial chapters so students and basic users can solve simple problems and work their way up to the most advanced and current solutions. This is the first book to discuss the solution of two-dimensional integral equations in many forms of their application and utility. As 2D problems are simpler to discuss, the student and basic reader can gain the necessary expertise before diving into 3D applications. This is also the first basic text to cover fast integral methods for metallic, impedance, and material geometries. It will provide the student or advanced reader with a fairly complete and up-to-date coverage of integral methods for composite scatterers.

1. Fundamental Concepts and Theorems; 1.1 Maxwell's Equation in Differential Time Domain Form; 1.2 Maxwell's Equations in Integral Form; 1.3 Maxwell's Equations in Phasor Form; 1.4 Natural Boundary Conditions; 1.5 Poynting's Theorem; 1.6 Uniqueness Theorem; 1.7 Superposition Theorem; 1.8 Duality Theorem; 1.9 Volume Equivalence Theorem; 1.10 Surface Equivalence Theorem; 1.11 Reciprocity and Reaction Theorems; 1.12 Approximate Boundary Conditions; Problems; Bibliography; 2. Field Solutions and Representations; 2.1 Field Solutions in Terms of Vector and Hertz Potentials

2.2 Solution for the Vector and Scalar Potentials2.3 Near- and Far-Zone Field Expressions; 2.4 Direct Solution of the Vector Wave Equation; 2.5 Two-Dimensional Fields; 2.6 Spectral Field Representations; 2.7 Radiation over a Dielectric Half Space; Problems; Bibliography; 3. Integral Equations and Other Field Representations; 3.1 Three-Dimensional Integral Equations; 3.2 Two-Dimensional Representations; Problems; Bibliography; 4. Solution of Integral Equations for Wire Radiatorsand Scatterers; 4.1 Formulation; 4.2 Basis Functions; 4.3 Pulse-Basis-Point-Matching Solution; 4.4 Source Modeling

4.5 Calculation of the Far…