Advanced Modeling in Computational Electromagnetic Compatibility

Learn the latest numerical methods to solve complex electromagnetic compatibility problems
This text combines the fundamentals of electromagnetics with numerical modeling to tackle a broad range of current electromagnetic compatibility (EMC) problems, including problems dealing with lightning, transmission lines, and grounding systems. The author sets forth a solid foundation in the basics before advancing to specialized topics. Not only do readers learn to solve EMC problems, they also learn to develop their own EMC computational models for applications in both research and industry.
Advanced Modeling in Computational Electromagnetic Compatibility is divided into three complementary parts:
Part One, Fundamental Concepts in Computational Electromagnetic Compatibility, provides readers with all the fundamentals of electromagnetic theory. Next, the author introduces the basics of numerical modeling, including the design and use of computational models for the analysis of static, quasi–static, and scattering problems.
Part Two, Analysis of Thin Wire Antennas and Scatterers, analyzes wire antennas using the frequency domain and the time domain integral equation formulation. The author demonstrates the advantage of the Boundary Element Method for handling EMC problems that involve analysis of wire configurations of arbitrary shapes.
Part Three, Computational Models in Electromagnetic Compatibility, sets forth the solutions of specific EMC problems using the wire antenna theory presented in Part Two. The final chapter examines the growing controversy surrounding the potential health risks associated with exposure to low frequency and transient electromagnetic fields.
Throughout the text, numerical examples taken from both academia and industry are provided. References at the end of each chapter guide readers to additional information for each topic. In short, with this text, readers can fully leverage antenn a theory and numerical methods for the solution of EMC problems.

Spis treści:
PART I: FUNDAMENTAL CONCEPTS IN COMPUTATIONAL ELECTROMAGNETIC COMPATIBILITY.
1. Introduction to Computational Electromagnetics and Electromagnetic Compatibility.
1.1 Historical Note on Modeling in Electromagnetics.
1.2 Electromagnetic Compatibility and Electromagnetic Interference.
1.2.1 EMC Computational Models and Solution Methods.
1.2.2 Classification of EMC Models.
1.2.3 Summary Remarks on EMC Modeling.
1.3 References.
2. Fundamentals of Electromagnetic Theory.
2.1 Differential Form of Maxwell Equations.
2.2 Integral Form of Maxwell Equations.
2.3 Maxwell Equations for Moving Media.
2.4 The Continuity Equation.
2.5 Ohm’s Law.
2.6 Conservation Law in the Electromagnetic Field.
2.7 The Electromagnetic Wave Equations.
2.8 Boundary Relationships for Discontinuities in Material Properties.
2.9 The Electromagnetic Potentials.
2.10 Boundary Relationships for Potential Functions.
2.11 Potential Wave Equations.
2.11.1 Coulomb Gauge.
2.11.2 Diffusion Gauge.
2.11.3 Lorentz Gauge.
2.12 Retarded Potentials.
2.13 General Boundary Conditions and Uniqueness Theorem.
2.14 Electric and Magnetic Walls.
2.15 The Lagrangian Form of Electromagnetic Field Laws.
2.15.1 Lagrangian Formulation and Hamilton Variational Principle.
2.15.2 Lagrangian Formulation and Hamilton Variational Principle in Electromagnetics.
2.16 Complex Phasor Notation of Time–Harmonic Electromagnetic Fields.
2.16.1 Poyinting Theorem for Complex Phasors.
2.16.2 Complex Phasor Form of Electromagnetic Wave Equations.
2.16.3 The Retarded Potentials for the Time–Harmonic Fields.
2.17 Transmission Line Theory.
2.17.1 Field Coupling Using Transmission Line Models.
2.17.2 Derivation of Telegrapher’s Equation for the Two–Wire Transmission Line.
2.18 Plane Wave Propaga tion.
2.19 Radiation.
2.19.1 Radiation Mechanism.
2.19.2 Hertzian Dipole.
2.19.3 Fundamental Antenna Parameters.
2.19.4 Linear Antennas.
2.20 References.
3 Introduction to Numerical Methods in Electromagnetics.
3.1 Analytical Versus Numerical Methods.
3.1.1 Frequency and Time Domain Modeling.
3.2 Overview of Numerical Methods: Domain, Boundary, and Source Simulation.
3.2.1 Modeling of Problems via the Domain Methods: FDM and FEM.
3.2.2 Modeling of Problems via the BEM: Direct and Indirect Approach.
3.3 The Finite Difference Method.
3.3.1 One–Dimensional FDM.
3.3.2 Two–Dimensional FDM.
3.4 The Finite Element Method.
3.4.1 Basic Concepts of FEM.
3.4.2 One–Dimensional FEM.
3.4.3 Two–Dimensional FEM.
3.5 The Boundary Element Method.
3.5.1 Integral Equation Formulation.
3.5.2 Boundary Element Discretization.
3.5.3 Computational Example for 2D Static Problem.
3.6 References.
4 Static Field Analysis.
4.1 Electrostatic Fields.
4.2 Magnetostatic Fields.
4.3 Modeling of Static Field Problems.
4.3.1 Integral Equations in Electrostatics Using Sources.
4.3.2 Computational Example: Modeling of a Lightning Rod.
4.4 References.
5 Quasistatic Field Analysis.
5.1 Introduction.
5.2 Formulation of the Quasistatic Problem.
5.3 Integral Equation Representation of the Helmholtz Equation.
5.4 Computational Example.
5.4.1 Analytical Solution of the Eddy Current Problem.
5.4.2 Boundary Element Solution of the Eddy Current Problem.
5.5 References.
6 Electromagnetic Scattering Analysis.
6.1 The Electromagnetic Wave Equations.
6.2 Complex Phasor Form of the Wave Equations.
6.3 Two–Dimensional Scattering from a Perfectly Conducting Cylinder of Arbitrary Cross–Section.
6.4 Solution by the Indirect Boundary Element Method.
6.4.1 Constant Element Case.
6.4.2 Linear Elements Case.
6.5 Numerical Ex ample.
6.6 References.
PART II: ANALYSIS OF THIN WIRE ANTENNAS AND SCATTERERS.
7 Wire Antennas and Scatterers: General Considerations.
7.1 Frequency Domain Thin Wire Integral Equations.
7.2 Time Domain Thin Wire Integral Equations.
7.3 Modeling in the Frequency and Time Domain: Computational Aspects.
7.4 References.
8 Wire Antennas and Scatterers: Frequency Domain Analysis.
8.1 Thin Wires in Free Space.
8.1.1 Single Straight Wire in Free Space.
8.1.2 Boundary Element Solution of Thin Wire Integral Equation.
8.1.3 Calculation of the Radiated Electric Field and the Input Impedance of the Wire.
8.1.4 Numerical Results for Thin Wire in Free Space.
8.1.5 Coated Thin Wire Antenna in Free Space.
8.1.6 The Near Field of a Coated Thin Wire Antenna.
8.1.7 Boundary Element Procedures for Coated Wires.
8.1.8 Numerical Results for Coated Wire.
8.1.9 Thin Wire Loop Antenna.
8.1.10 Boundary Element Solution of Loop Antenna Integral Equation.
8.1.11 Numerical Results for a Loop Antenna.
8.1.12 Thin Wire Array in Free Space: Horizontal Arrangement.
8.1.13 Boundary Element Analysis of Horizontal Antenna Array.
8.1.14 Radiated Electric Field of the Wire Array.
8.1.15 Numerical Results for Horizontal Wire Array.
8.1.16 Boundary Element Analysis of Vertical Antenna Array: Modeling of Radio Base Station Antennas.
8.1.17 Numerical Procedures for Vertical Array.
8.1.18 Numerical Results.
8.2 Thin Wires Above a Lossy Half–Space.
8.2.1 Single Straight Wire Above a Dissipative Half–Space.
8.2.2 Loaded Antenna Above a Dissipative Half–Space.
8.2.3 Electric Field and the Input Impedance of a Single Wire Above a Half–Space.
8.2.4 Boundary Element Analysis for Single Wire Above a Real Ground.
8.2.5 Treatment of Sommerfeld Integrals.
8.2.6 Calculation of Electric Field and Input Impedance.
8.2.7 Numerical Results for a Single Wire Above a Real Groun