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Cursus: 201700143
Fields and Waves
Cursus informatie
Studiepunten (ECTS)15
VoertaalEngels M.P. de Jong
VorigeVolgende 5
Docent W.T.E. van den Beld
Docent P.L. de Boeij
Contactpersoon van de cursus M.P. de Jong
Docent M.P. de Jong
dr. A.Y. Kovalgin
Inschrijven via OSIRISJa
Aantal onvoldoende toetsen1
a. The student is able to use Maxwell's classical theory of electromagnetism to describe and evaluate electromagnetic fields and waves produced by electric charges, which are either stationary (producing static electric fields), moving at constant velocity (producing static magnetic fields) or accelerating (leading to emission/absorbtion of electromagnetic waves).
b. Using force- and potential fields, the student will be able to calculate forces acting on charges that are stationary or moving at constant velocity and understand the extension of Maxwell's field theory to describe other physical phenomena, such as gravitational forces or heat flow.
c. The student can calculate fields by means of summation (integration) over sources and can apply integral rules (Gauss's- and Stokes's laws) in case of highly symmetric charge- or current density distributions.
d. The student is able to design, construct and test a sending antenna for a wireless communication device. The working of a finite elements method (COMSOL) is understood and is applied to calculate electromagnetic radiation (antenna patterns and impedance) to optimize the antenna design.
e. The student understands how electric fields behave inside linear, isotropic materials.
f. The student will have a view on how an international science organization sets its goals, operates and what the engineering issues are related to the domain of Advanced Technology.
g. The student is able to work in a group to gain knowledge in a Problem Based Learning style.
Complex engineering problems – like describing a wing's airflow profile, or an electrical spool's magnetic field – require a mathematical description that employs vectors, a quantity that has both a magnitude and a direction in 3 dimensional space. In this module you will apply vector mathematics in the field of electromagnetism. The behaviour of electric and magnetic fields and their interaction is given by the so-called Maxwell equations. Just four differential equations that describe a wealth of phenomena ranging from big magnets used for medical imaging to the behaviour of light (which is an electromagnetic phenomena) to the interaction between electrons and protons. In a Problem Based Learning style you will solve and discuss successive problems with a small group of students to get insight first in electrostatics, followed by magnetostatics. With magnetostatics you are already able to understand the design of electromagnets, magnetic fields created by a constant current. Electrostatics and magnetostatics are combined in the field of electrodynamics, the mutual interaction of electric and magnetic fields. This forms the basis to understand optical effects and wireless communication. This knowledge will have to be used in the project team for the design and realization of an antenna that works as well as possible within the 100 MHz range. To support the antenna design process the Finite Element Method is introduced. The Finite Element method is used in many engineering areas to evaluate a system described by (partial) differential equations such as fluid motion, thermal behaviour, mechanical stress and bending as well as electromagnetic phenomena. In many engineering problems it is actually a combination of these effects that play a role, for example the cooling of a mechanical structure to prevent thermal expansion with the flow of a cooling fluid. Working with a Finite Element method is not just ask the computer for an answer, as an answer it will give. Therefore this technique can only be used with a proper set-up of the problem and the validation of the results.  
In the last few years one week of this module was spent on an excursion to CERN to see large magnets of various designs at work. During this visit several problems associated with particle beam dynamics and magnet design and realization are made. Above all this trip provides insight in this international renown institute.

Fields: vector- and scalar fields, gradient, divergence, rotation, flux and circulation of vector fields, Theorems of Gauss and Stokes;

Waves:  the wave equation and its solutions;

Electrostatics: electric field, Coulomb's Law, superposition of fields from charges and charge distributions, Gauss's Law, electrostatic potential, dipole, equations of Laplace and Poisson, dielectrics, electrostatic analogues;

Magnetostatics: magnetic field, Ampere's Law, Law of Biot and Savart, vector potential, current and current density, magnetic dipole, energy density,.

Electrodynamics: induction, plane waves in free space, radiation, interference, polarization, resonance in cavities, waveguides, transmission lines, phase and group velocity, pointing vector, reflection and diffraction.
Participating study
Bachelor Advanced Technology
Verplicht materiaal
Online version of R. Feynman, R. Leighton, and M. Sands, "The Feynman Lectures on Physics"
Aanbevolen materiaal
R. Feynman, R. Leighton, and M. Sands, "The Feynman Lectures on Physics" , 3 volumes 1964, 1966 ISBN-10: 0-201-02115-3, ISBN-13: 978-0-201-02115-8 (1970 paperback three-volume set) ISBN-10: 0-201-50064-7,
(Vervolg '-R. Feynman, R. Leighton, and M. Sands,) ISBN-13: 978-0-201-50064-6 (1989 commemorative hardcover three-volume set) ISBN-10: 0-8053-9045-6, ISBN-13: 978-0-8053-9045-2 (2006 the definitive edition (2nd printing); hardcover)
D.J. Griffiths, "Introduction to Electrodynamics" ISBN-10: 0-321-85656-2, ISBN-13: 978-0-321-85656-2
D.K. Cheng, "Field and wave electromagnetics" ISBN-10: 0-201-12819-5, ISBN-13: 978-0-201-12819-2
F. Gustrau and D. Manteuffel, "EM Modeling of Antennas and RF Components for Wireless Communication Systems" ISBN-10: 3-540-28614-4, ISBN-13: 978-3-540-28614-1
S.J. Orfanidis, "Electromagnetic Waves and Antennas" (online), Available on:




Zelfstudie met begeleiding

Electro- and magnetostatics (PBL)

Electromagn. radiation (Antenna Project)

Finite Element Methods

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