Informations for semester 2023/24/2
Course description
The course consists of
The schedule, topics and recommended literature (including lecture notes) are given below.
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Exercise classes: every Wednesday, 14:15-16:00 (F3M01)
Instructor: Balázs Hetényi
There are 11 sessions involving problem solving, and 2 sessions in which mini-projects are reported. Mini-projects consist of sources on a given topic assigned for homework, which are reported in a short seminar type presentation.
Registration for mini-project presentation (deadline: 13th of March)
Course schedule
Written sources are listed after each lecture; for the abbreviations cf. the list of recommended reading below.
For each exercise class the topic designation is a link to the corresponding problem sheet.
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Lecture 1 (12th Feb): Potential theory I. Laplace equation in rectangular domains. Spherical coordinates (JCE 2.8-2.9 and 3.1; ELN 3.3-3.4)
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Lecture 2 (19th Feb): Potential theory II. Laplace equation with azimuthal symmetry. Edge effect. (JCE 3.2-3.4; ELN 3.5)
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Lecture 3 (1st of Mar): Potential theory III. Spherical harmonics and their addition theorem. Multipole expansion. (JCE 3.2-3.4; ELN 3.5)
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Lecture 4 (4th Mar): Surface effects in conductors. General theory of wave guides. (JCE 8.1-8.2)
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Lecture 5 (11th Mar): TEM, TE and TM modes in wave guides, Energy density and current, phase and group velocities. (JCE 8.3-8.4 and 8.5 up to eqn. (8.54); ELN 9.5.1)
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Lecture 6 (18th Mar): Resonant cavities. Quality factor, Lorentz resonance curve. (JCE 8.7-8.8; ELN 9.5.2)
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Lecture 7 (25th Mar): Electromagnetic waves in matter, dispersion, plasma frequency, Kramers-Kornig relation. Absorption and conductivity, Drude model. (JCE 7.5-7.6 and 7.10; ELN 9.3)
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Lecture 8 (8th Apr): Radiation of localized oscillating sources. Multipole expansion of radiation. (JCE 9.1-9.3; ELN 10.2)
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Lecture 9 (15th Apr): Scattering of electromagnetic waves. Scattering on inhomogeneities, density fluctuations. (JCE 10.1-10.2; ELN 12.1-2)
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Exercise class: (17th Apr, mini-project presentations)
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Lecture 10 (22nd Apr) Electromagnetic field of a moving charge. Lienard-Wiechert potentials and field strength. Radiated power. (JCE 14.1 and 14.2; ELN 11.1-3 and 14.5
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Lecture 11 (29th Apr): Radiation field of accelerated charge, angular distribution. Radiated power, relativistic Larmor formula. (JCE 14.3 and 14.4; ELN 11.4-5)
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Lecture 12 (6th May): Distribution in frequency spectrum and angle. Cherenkov radiation (JCE 14.5 and 13.4)
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Lecture 13 (13th May): Radiation backreaction, the Abraham-Lorentz force (JCE 16.1-16.3)
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Exercise class 11 (15th May, "relativistic electrodynamics II")
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Exercise class: (22nd May, mini-project presentations)
Recommended reading:
Course requirements
Condition for signature: attending at least 70% of exercise classes + submission of all homeworks with a score of at least 40% + complete a mini-project.
Evaluation:
The whole course is evaluated together with a single mark, given as a combination of the following:
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homework: after each of the eleven problem solving classes, the solution of three assigned problems must be submitted. Weight: 30%
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mini-project presentation. Weight: 30%
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written test during the last week of the semester on 24th May (Friday) from 8:00 to 10:00 - includes problem solving and theory. Once the written test has been taken, further exams are oral. Weight: 40%
The results are combined with the weights given above and marked according to
0-39: fail (1) 40-54: pass (2) 55-69: average (3) 70-84: good (4) 85-100: excellent (5)
During tests and exams, student can use the following mathematical supplement, as well as the summary of calculus in curvilinear coordinates (printed from Wikipedia).
