## Theory of Electromagnetic Fields

Lecturer (assistant) 0000002198 6 SWS Wintersemester 2020/21 German See TUMonline See TUMonline

### Objectives

After successful participation in the module events the students are in the position to - understand static, stationary, quasi-stationary, and high-frequency electromagnetic processes in technical applications - apply methods for field-theoretical analysis to technical problems - describe and explain various forms of electromagnetic wave propagation - characterize the field-theoretical basis of electrical components and networks

### Description

Continuum theory of electromagnetics (Maxwell's equations, balance equations, electromagnetic four-potential, field characteristics on material boundaries) Boundary value problem of the potential theory (Poisson's equation, Green's functions), applications: electrostatics, stationary currents, heat transfer Modelling of electromagnetic processes by means of compact models (spatial discretization by Kirchhoff networks, capacitors, inductors, complex phasor arithmetic) Electromagnetic waves in homogeneous media (general plane waves in 3D, harmonic plane waves, Fourier representation of general EM waves) Spatially evanescent EM waves in lossy and dispersive media (complex dispersion relation, eddy currents, skin effect) Guided electromagnetic waves (waveguides, cavity resonators, RF lines) Radiation problems (antennas, super potential, Hertzian dipole)

### Prerequisites

The following modules should be successfully completed before attending: - Analysis 1 - Analysis 2 - Lineare Algebra - Elektrizität und Magnetismus

### Teaching and learning methods

The module includes a lecture course and weekly tutorials. During the lecture course theoretical content and introductory examples will be conveyed in a teacher centered recitation. These will then be discussed with a tutor in the context of applications. Deepening will be reached by means of application examples in the tutorial exercises on self-prepared exercises, which are announced in advance by exercise sheets. The following types of media will be used: - presentations (PowerPoint) - printed lecture documents - tutorial problems (hardcopy and download)

### Examination

During a written final exam with a duration of 120 minutes, students solve mathematical problems and answer questions. By this they demonstrate their ability for applying field-theoretical methods to solve technical problems. They also furnish proof of understanding electromagnetic processes in technical applications.

### Recommended literature

G. Lehner: Elektromagnetische Feldtheorie Für Ingenieure und Physiker, Springer-Verlag, 2010 H. Henke: Elektromagnetische Felder, Springer-Verlag, 2011 D. J. Griffiths: Elektrodynamik, Pearson Studium, 3. Auflage, 2011 B. M. Notaroš: Electromagnetics, Pearson Education, 1. Auflage, 2010 H. Klingbeil: Elektromagnetische Feldtheorie, Teubner, 2011 G. Mrozynski: Elektromagnetische Feldtheorie – Eine Aufgabensammlung, Teubner, 2003 K. Küpfmüller, W. Mathis, A. Reibiger: Theoretische Elektrotechnik: Eine Einführung, 19. Auflage, Springer-Vieweg, 2013 K. Simonyi: Theoretische Elektrotechnik, Wiley-VCH, 1993 J.D. Jackson: Klassische Elektrodynamik, 5. Auflage, Walter-de-Gruyter-Verlag, 2014 J.M. Jin: Theory and Computation of Electromagnetic Fields, 2nd Ed., Wiley IEEE-Press, 2015