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Advanced Electromagnetics

Module EI7476

This Module is offered by TUM Department of Electrical and Computer Engineering.

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

EI7476 is a semester module in English language at Master’s level which is offered in winter semester.

This module description is valid from WS 2015/6 to SS 2019.

Total workloadContact hoursCredits (ECTS)
180 h 75 h 6 CP

Content, Learning Outcome and Preconditions


Mathematical basics on vector spaces, distributions, and complex analysis;
Field solutions by Green's functions;
Orthogonal series representations of Green's functions;
Solution of the Laplace-/Helmholtz equation in Cartesian, cylindrical, and spherical coordinates;
Dyadic Green's functions and vector Huygens principle; Surface and volume integral equation formulations of radiation and scattering problems;
Vector wave solutions in Cartesian and spherical coordinates: Mie series solutions;
Dyadic Green's functions in planar multilayered media:
The spectral domain immitance approach, transmission line representation, Sommerfeld integral representation, Michalski's mixed potential representation, dipole over a halfspace (earth), surface waves and lateral waves;
Basics of Variational Calculus;
Asymptotic expansion of radiation integrals: Method of Stationary Phase, saddle points and the nethod of steepest descent;
The Multilevel Fast Multipole Method and hierarchical field representations;

Learning Outcome

At the end of the module students understand advanced analytical methods for the solution of electromagnetic field problems. They are able to apply these methods to develop field solutions for modified geometrical and material configurations within the scope of the methods. They understand the relationship and the mutual utilization of mathematical and physical considerations in order to develop field solutions of practical relevance. They understand the importance of analytical concepts for the development of advanced numerical methods in electromagnetics.


Mathematics, Electrodynamics

The successful participation in the following modules is recommended:
- Technische Felder und Wellen

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VI 5 Advanced Electromagnetics Thu, 11:30–13:00, N4512
Mon, 08:45–09:30, N4512
Mon, 09:45–11:15, N4512

Learning and Teaching Methods

Learning method:
In addition to the individual methods of the students, consolidated knowledge is aspired by repeated lessons in excercises and tutorials.

Teaching method:
During the lectures students are instructed in a teacher-centered style. The tutorials are held in a student-centered style. The students are expected to give tutorials themselves.


- Presentation slides
- Lecture documents
- Tutorial problems and solutions
- Project work including presentations


- Jin, J.-M.: Theory and Computation of Electromagnetic Fields, Wiley 2010.
- Chew, W.C.: Waves and Fields in Inhomogeneous Media,IEEE Press, 1995
- Jackson, J.D.: Classical Electrodynamics, Wiley, 1962
- Tai, C.-T.: Dyadic Green Functions in Electromagnetic Theory, IEEE Press, 1994
- Senior, T.B.A., Volakis, J.L.: Approximate Boundary Conditions in Electromagnetics, IEE Series on Electromagnetic Waves, 1995
- Collin, R.E.: Field Theory of Guided Waves, IEEE Press, 1991
- Felsen, L.B., Marcuvitz, N.: Radiation and Scattering of Waves, IEEE Press, 1994

Module Exam

Description of exams and course work

The examination is adapted to the learning outcomes and consists of an oral examination of 25 min duration.

In the oral examination, students demonstrate by answering questions under time pressure and without helping material the theoretical knowledge of advanced methods for the solution of electrostatic as well as acoustic and electromagnetic field and wave problems. By describing solution concepts for particular field problems, they demonstrate the understanding of the relevant solution principles.

During the semester, students get the opportunity to participate in voluntary project tasks, in which they can solve different field problems in more detail. These project tasks can be used to improve the final grade.

The final grade consists of the grade of the written exam (100%).

Each of the overal grades for the project and homeworks tasks will count with 20% of the final grade, if the average grade of the written exam (60%), of the homework grade (20%) and of the project task grade (20%) will lead to an improvement of the grade.

Exam Repetition

There is a possibility to take the exam in the following semester.

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