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Main textbook:
For selected topics:
It is highly recommended to read the "mathematical preparations" in Chapter 1 of Nolting's book.
Lecture and exercise in English.
In order to pass the module each of the following requirements must be met:
Date: July 12, 2018, 09:00 – 12:00, Y15-G-20
Allowed collection of formulas: 3 handwritten double-sided A4 pages or 2 double-sided A4 pages in Latex. Only your personal Latex formulas are allowed, i.e. it is not allowed to include external PDF files of figures in a Latex document.
Allowed tools: standard pocket calculator without data storage and internet connection. No other electronic devices are allowed.
Date: September 11, 2018, 09:00 – 12:00, Y16-G-15
Format of the exam:
The exact (personalised) schedule will be communicated in due time.
The exercises play a crucial role for the understanding of the lecture!
Series | To be handed in by | Discussed on | Solution |
---|---|---|---|
Exercise sheet 0 | --- | 22.02.2018 | |
Exercise sheet 1 | 27.02.2018 | 01.03.2018 | |
Exercise sheet 2 | 06.03.2018 | 08.03.2018 | |
Exercise sheet 3 | 13.03.2018 | 15.03.2018 | |
Exercise sheet 4 | 20.03.2018 | 22.03.2018 | |
Exercise sheet 5 | 27.03.2018 | 29.03.2018 | |
Exercise sheet 6 | 10.04.2018 | 12.042018 | |
Exercise sheet 7 | 17.04.2018 | 19.04.2018 | |
Exercise sheet 8 | 24.04.2018 | 26.04.2018 | |
Exercise sheet 9 | 02.05.2018 (12 noon) | 03.05.2018 | |
Exercise sheet 10 | 08.05.2018 | 10.05.2018 | |
Exercise sheet 11 | 17.05.2018 | 17.05.2018 | |
Exercise sheet 12 | 29.05.2018 | 31.05.2018 | |
Exam | 12.07.2018 | 12.07.2018 |
Date | Topic |
---|---|
21.02.18 |
|
23.02.18 |
Electric potential; Gauss and Stokes theorems; Maxwell equations of electrostatics in differential and integral form (Nolting 1.5.1-2 & 2.1.2-3) |
28.02.18 | Poisson equation; E-field at interfaces; cartesian multipole expansion (Nolting 2.1.3-4; 2.2.4; 2.2.6-7) |
2.3.18 | Spherical multipole expansion (Nolting 2.3.8); Formulation of general Boundary value problems (Nolting 2.3.1-2) |
7.3.18 | Existence and uniqueness of solution (Nolting 2.3.1-2); Green theorems (Nolting 1.5.3); Green function; formal solution of Dirichlet/Neumann problems (Nolting 2.3.3) |
9.3.18 | Method of image charges (Nolting 2.3.4) |
14.3.18 | Seperation of variables (Nolting 2.3.6); Electrostatic field energy (Nolting 2.1.5) |
16.3.18 | Capacitors (Kroeger/Unbehauen 5.6); Microscopic and macroscopic fields in Dielectrics (Nolting 2.4.1) |
21.3.18 | Maxwell equations, field-behaviour at interfaces and field energy in dielectrics (Nolting 2.4.1, 2.4.3) |
23.3.18 | 3. Magnetostatics: Electric currents, continuity, Ohm's law, thread of current, electric power (Nolting 3.1); Ampere law, Magnetic field, Biot-Savart law (Nolting 3.2.1) |
28.3.18 | Biot-Savart law for current distributions; Lotentz force, torque; vector potential; gauge invariance; Maxwell equations of magnetostatics (Nolting 3.2.1-3.2.3) |
11.4.18 | Solenoid; Magnetic multipole expansion; dipole moment; magnetic force and torque on a confined current distribution (Nolting 3.3) |
13.4.18 | Magnetostatics in matter: magnetisation, microscopic currents, magnetic field H, Maxwell equations, classification of magnetic materials, behaviour at interfaces (Nolting 3.4.1-3.4.3) |
18.4.18 |
Boundary-value magnetostatic problems (Nolting 3.4.4); 4. Electrodynamics: Faraday law ; Maxwell displacement current; Maxwell's equations in the vacuum (Nolting 4.1.1-2) |
20.4.18 | Maxwell equations. in matter; Electrodynamic potentials; gauge invariance; Coulomb gauge; Lortenz gauge (Nolting 4.1.2-3); Green function of wave equation (Jackson 6.6; see also Nolting 4.3.5. 4.3.7) |
25.4.18 | Spherical wave solutions (Jackson 6.6; see also Nolting 4.3.5. 4.3.7); Electromagnetic field energy; Pointing vector; field momentum (Nolting 4.1.4-5) |
27.4.18 | Maxwell stress tensor (Nolting 4.1.5); Quasi-stationary fields: induction and self-induction, magnetic field energy, alternating currents (Nolting 4.2.1-3) |
2.5.18 | 5. Relativistic formulation of electrodynamics. Coordinate transformations: contravariant and covariant vectors, tensors, metric tensor. Special relativity: Galilei and Lorentz transformations (Jackson 11.1, 11.3-6, 11.9-10) |
4.5.18 | Light cone, proper time, time dilatation, space contraction, relativistic 4-velocity, 4-momentum and force. Relativistic electrodynamics: current 4-vector, 4-potential, wave equation, field-strength tensor, Lorentz transformation of E- and B-fields (Jackson 11.1, 11.3-6, 11.9-10) |
9.5.18 |
Dual strength tensor, field invariants, Maxwell equations, Lorentz force (Jackson 11.1, 11.3-6, 11.9-10). 6. Electromagnetic waves. Wave solutions of Maxwell equations Plane waves (Nolting 4.3.1) |
11.5 | Plane transverse waves, linear polarisation (Nolting 4.3.2-3) |
16.5 | circular polarisation; Wave packets (Nolting 4.3.3-4); Straight wave guides (Jackson 8.2); |
18.5 | Straight wave guides (Jackson 8.2-4); Retarded potentials (Jackson 12.11) |
23.5 | Radiation of a moving point charge: Lienard-Wiechert potentials; E- and B-fields, Poynting vector, radiation power (Jackson 14.1-3; see also Nolting 4.5.5) |
25.5 |
Bremsstrahlung; synchrotron radiation (Jackson 14.1-3; see also Nolting 4.5.5); Hertz dipole (Jackson 9.1-2, 9.4; see also Nolting 4.5.2-3) |
30.5 | 7. Electromagnetic waves in matter. Wave equations in metal (Nolting 4.3.9) and insulators (Nolting 4.3.10). Reflection and refraction. Energy transport in different media. |
1.6 |
Dispersion. Lorentz oscillator model; (Connection between D- and E-field; Kramers-Kronig relations) |