Field Theory Concepts: Electromagnetic Fields. Maxwell's Equations Grad, Curl, DIV. Etc. Finite-Element Method. Finite-Difference Method. Charge Simul (Paperback, Softcover Repri)

1 Elementary Concepts of Electric and Magnetic Fields.- 1.1 Flux and Flux Density of Vector Fields.- 1.2 Equations of Matter - Constitutive Relations.- 2 Types of Vector Fields.- 2.1 Electric Source Fields.- 2.2 Electric and Magnetic Vortex Fields.- 2.3 General Vector Fields.- 3 Field Theory Equations.- 3.1 Integral Form of Maxwells Equations.- 3.1.1 Faraday's Induction Law in Integral Form Vortex Strength of Electric Vortex Fields.- 3.1.2 Ampere's Circuital Law in Integral Form Vortex Strength of Magnetic Vortex Fields.- 3.1.3 Gauss's Law of the Electric Field Source Strength of Electric Fields.- 3.1.4 Gauss's Law of the Magnetic Field Source Strength of Magnetic Fields.- 3.2 Law of Continuity in Integral Form Source Strength of Current Density Fields.- 3.3 Differential Form of Maxwell's Equations.- 3.3.1 Faradays Induction Law in Differential Form Vortex Density of Electric Vortex Fields.- 3.3.2 Ampere's Circuital Law in Differential Form Vortex Density of Magnetic Vortex Fields.- 3.3.3 Divergence of Electric Fields Source Density of Electric Fields.- 3.3.4 Divergence of Magnetic Fields Source Density of Magnetic Fields.- 3.4 Law of Continuity in Differential Form Source Density of Current Density Fields.- 3.5 Maxwell's Equations in Complex Notation.- 3.6 Integral Theorems of Stokes and Gauss.- 3.7 Network Model of Induction.- 4 Gradient, Potential, Potential Function.- 4.1 Gradient of a Scalar Field.- 4.2 Potential and Potential Function of Static Electric Fields.- 4.3 Development of the Potential Function from a Given Charge Distribution.- 4.3.1 Potential Function of a Line Charge.- 4.3.2 Potential Function of a General Charge Distribution.- 4.4 Potential Equations.- 4.4.1 Potential Equations for Fields without Space Charges.- 4.4.2 Potential Equations for Fields with Space Charges.- 4.5 Electric Vector Potential.- 4.6 Vector Potential of the Conduction Field.- 5 Potential and Potential Function of Magnetostatic Fields.- 5.1 Magnetic Scalar Potential.- 5.2 Potential Equation for Magnetic Scalar Potentials.- 5.3 Magnetic Vector Potential.- 5.4 Potential Equation for Magnetic Vector Potentials.- 6 Classification of Electric and Magnetic Fields.- 6.1 Stationary Fields.- 6.1.1 Electrostatic Fields.- 6.1.2 Magnetostatic Fields.- 6.1.3 Static Conduction Field (DC Current-Conduction Field).- 6.2 Quasi-Stationary Fields (Steady-State) Fields.- 6.2.1 Quasi-Static Electric Fields.- 6.2.2 Quasi-Static Magnetic Fields.- 6.2.3 Quasi-Static Conduction Fields.- 6.2.4 Conduction Fields with Skin Effect.- 6.3 Nonstationary Fields, Electromagnetic Waves.- 6.3.1 Wave Equation.- 6.3.2 Retarded Potentials.- 6.3.3 Hertz Potentials.- 6.3.4 Energy Density in Electric and Magnetic Fields, Energy Flow Density in Electromagnetic Waves.- 7 Transmission-Line Equations.- 8 Typical Differential Equations of Electrodynamics and Mathematical Physics.- 8.1 Generalized Telegraphist's Equation.- 8.2 Telegraphist's Equation with a, b0; c=0.- 8.3 Telegraphist's Equation with a0; b=0; c=0.- 8.4 Telegraphist's Equation with b0; a=0; c=0.- 8.5 Helmholtz Equation.- 8.6 Schroedinger Equation.- 8.7 Lorentz's Invariance of Maxwell's Equations.- 9 Numerical Calculation of Potential Fields.- 9.1 Finite-Element Method.- 9.2 Finite-Difference Method.- 9.3 Charge Simulation Method.- 9.4 Monte Carlo Method.- 9.5 General Remarks on Numerical Field Calculation.- A1 Units.- A2 Scalar and Vector Integrals.- A3 Vector Operations in Special Coordinate Systems.- A5 Complex Notation of Harmonic Quantities.- Literature.