# course: Electromagnetic Fields

number:
141367
teaching methods:
lecture with tutorials
media:
Moodle, computer based presentation, black board and chalk
responsible person:
Prof. Dr. Ralf Peter Brinkmann
lecturer:
Dr. Denis Eremin (ETIT)
language:
english
HWS:
3
CP:
5
offered in:
summer term

## dates in summer term

• start: Monday the 12.04.2021
• lecture Mondays: from 12:15 to 13.45 o'clock
• tutorial Wednesdays: from 12:15 to 13.00 o'clock

## Exam

##### Die Angaben zu den Prüfungsmodalitäten (im WiSe 2020/2021 | SoSe 2021) erfolgen vorbehaltlich der aktuellen Situation. Notwendige Änderungen aufgrund universitärer Vorgaben werden zeitnah bekanntgegeben.

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 fields and waves and are able to apply the techniques to related problems in engineering and physics.

## content

1. Helmholtz theorem

2. General overview of Maxwell's equations. Different approximations: electrostatics, magnetostatics, Darwin

1. Electrostatics: Coulomb's law, Gauss's law
2. Green's function in electrostatics
3. Magnetostatics: Bio-Savart's law, Ampere's law
5. Displacement current, Maxwell's equations, vector and scalar potentials
6. Gauge transformations, Lorenz gauge, Coulomb gauge
7. Energy conservation, Poynting theorem
8. Conservation of linear momentum
9. Plane waves in nonconducting media
10. Properties of electromagnetic waves, polarization
11. Propagation of a wave's packet, phase and group velocity
12. Cylindrical waveguides and cavities
13. TM, TE, and TEM waves
14. Waveguide modes
15. Resonant cavities
16. Green's function for a time-dependent problem in free space
17. Fields and radiation of localized oscillating sources

None

## recommended knowledge

Fundamental knowledge of electromagnetics, partial differential equations, and vector calculus would be helpful.

## literature

1. Jackson, John David "Classical Electrodynamics", Wiley & Sons, 1998
2. Griffiths, D.J. "Introduction to Electrodynamics", Prentice Hall, 1999
3. Zangwill, A. "Modern Electrodynamics", Cambridge University Press, 2013
4. Kendall, P.C. "Vector Analysis and Cartesian Tensors", CRC Press, 1992

## miscellaneous

SOMMERSEMESTER 2021

Der Kurs beginnt am 12. April. Im Moment müssen wir uns alle der Herausforderung des Coronavirus stellen.

Zu Beginn jeder Woche werden Vorlesungen hochgeladen und jede Woche am Mittwoch um 12:00 werde ich auf diejenigen warten, die Fragen zu den Vorlesungen oder anderen Fragen haben, die für den Kurs auf Zoom relevant sind,

Den Moodle-Kurs für diesen Vorlesungskurs finden Sie auf

https://moodle.ruhr-uni-bochum.de/m/course/view.php?id=27578

The course will start on the 12th of April. At the moment we all have to face the challenge posed by the corona-virus.

At the beginning of each week lectures will be uploaded and each week on Wednesdays at 12:00 I will wait for those who have any questions regarding the lectures or other questions relevant to the course on Zoom, https://ruhr-uni-bochum.zoom.us/j/99308760452?pwd=MVgyNUxHeUVtUDVhVzgzeURhbG9QQT09

The moodle course for this class can be found on https://moodle.ruhr-uni-bochum.de/m/course/view.php?id=27578