# course: Electromagnetic Waves

- number:
- 141372
- teaching methods:
- lecture with tutorials
- media:
- Videoübertragung, Moodle
- responsible person:
- Prof. Dr. Ralf Peter Brinkmann
- Lecturers:
- Dr. Denis Eremin (ETIT), M. Sc. Michael Klute (ETIT)
- language:
- german
- HWS:
- 4
- CP:
- 5
- offered in:
- winter term

## dates in winter term

- start: Tuesday the 12.10.2021
- lecture Tuesdays: from 10:15 to 11.45 o'clock in ID 04/401
- tutorial Thursdays: from 10:15 to 11.45 o'clock in ID 04/401

## Exam

Date according to prior agreement with lecturer.

Form of exam: | oral |

Registration for exam: | FlexNow |

Duration: | 30min |

## goals

The students learn the theory of electromagnetic waves and can solve problems in the field of high frequency technology, photonics or plasma technology.

## content

- A. Electrostatics *

- Revisit of Coulomb's law, Poisson's equation and Gauss's law; Interpretation by means of the Helmholtz decomposition theorem for vector fields
- Green's theorem, formal solution of the Poisson equation with help of the Green's function
- The Laplace equation in Cartesian and spherical coordinates and spherical functions; Green's function in spherical coordinates, multipole expansion

- B. Magnetostatics *

- Biot-Savart's law and Ampere's law; Continuity equation, vector potential and gauge transformations
- Faraday's induction law

- C. Electrodynamics (basics) *

- The Maxwell equations: displacement current, continuity equation; Electrodynamic potentials, gauge transformation by means of scalar calibration
- The Coulomb and Lorenz calibrations, scalar wave equation
- Green's function of the wave equation, retarded potentials
- d'Alembert solutions of the wave equation
- Conservation equations: charge, momentum and angular momentum conservation, Poynting's theorem
- Transition conditions at media boundaries and plane waves in non-conductive media; Conductive media and inhomogeneous plane waves

- D. Electrodynamics *

- Polarization of electromagnetic waves, Stokes parameters
- Revisit of the superposition principle for EM waves, phase / group velocity; Wave packets and propagation in dispersive media
- Revisit of oscillation types in waveguides; Cylindrical hollow / waveguide
- Radiation of localized oscillating sources, near and far field approximations

## requirements

keine

## recommended knowledge

Contents of the Bachelor Lectures (PO 13) Mathematics 1, 2 and 3 as well as General Electrical Engineering 1, 2, 3 and 4

## materials

### tutorials:

## literature

- Panofsky, Wolfgang K. H., Phillips, Melba "Classical Electricity and Magnetism", Dover Publications Inc., 2005
- Heald, Mark A., Marion, Jerry B. "Classical Electromagnetic Radiation", Dover Publications Inc., 1995
- Griffiths, D.J. "Introduction to Electrodynamics", Prentice Hall, 1999
- Jackson, John David "Klassische Elektrodynamik", Gruyter, Walter de GmbH, 1988
- Zangwill, A. "Modern Electrodynamics", Cambridge University Press, 2013

## miscellaneous

The course will be taught in class