Field Theory Concepts: Electromagnetic Fields. Maxwell's Equations Grad, Curl, DIV. Etc. Finite-Element Method. Finite-Difference Method. Cha

ISBN-13: 9783642489433 / Angielski / Miękka / 2012 / 218 str.

Adolf J. Schwab

Opis

"Field Theory Concepts" is a new approach to the teaching and understanding of field theory. Exploiting formal analo- gies of electric, magnetic, and conduction fields and introducing generic concepts results in a transparently structured electomagnetic field theory. Highly illustrative terms alloweasyaccess to the concepts of curl and div which generally are conceptually demanding. Emphasis is placed on the static, quasistatic and dynamic nature of fields. Eventually, numerical field calculation algorithms, e.g. Finite Element method and Monte Carlo method, are presented in a concise yet illustrative manner.

Spis treści

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, b>0; c=0.- 8.3 Telegraphist’s Equation with a>0; b=0; c=0.- 8.4 Telegraphist’s Equation with b>0; 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.

O autorze

Prof. Dr. ADOLF JOSEF SCHWAB studierte und promovierte an der Elite-Universität Karlsruhe auf dem Gebiet der Elektrotechnik. Seinem Aufenthalt als Postdoctoral Fellow am MIT in den USA folgte 1972 die Habilitation. 1976 erhielt er einen Ruf als Professor an die Universität Darmstadt, 1978 an die Universität Dortmund. Im Jahre 1980 wurde er zum Ordentlichen Professor und Direktor des Instituts für Elektroenergiesysteme und Hochspannungstechnik an der Elite-Universität Karlsruhe ernannt. Von 1989 bis 1993 leitete er das ABB Konzernforschungszentrum in Heidelberg. Heute ist Prof. Schwab Ordinarius im Ruhestand und leitet die Prof. Schwab Consulting und Partner.