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Cursus: NWI-NM001B
NWI-NM001B
Electrodynamics
Cursus informatieRooster
CursusNWI-NM001B
Studiepunten (ECTS)3
CategorieMA (Master)
VoertaalEngels
Aangeboden doorRadboud Universiteit; Faculteit der Natuurwetenschappen, Wiskunde en Informatica; Wiskunde, Natuur- en Sterrenkunde;
Docenten
Coördinator
dr. ir. G.A. de Wijs
Overige cursussen docent
Docent
dr. ir. G.A. de Wijs
Overige cursussen docent
Contactpersoon van de cursus
dr. ir. G.A. de Wijs
Overige cursussen docent
Collegejaar2016
Periode
KW1  (29-08-2016 t/m 06-11-2016)
Aanvangsblok
KW1
Onderwijsvorm
voltijd
Opmerking-
Inschrijven via OSIRISJa
Inschrijven voor bijvakkersJa
VoorinschrijvingNee
WachtlijstNee
Plaatsingsprocedure-
Cursusdoelen
  • The student understands the conservation laws (energy, momentum, and in particular angular momentum) and can apply
    these to simple physical problems.1
  • The student understands the concept of Green's function and can apply this to derive the multipole radiation formulas and Lienard-Wiechert potentials mentioned below.
  • The student can analyze oscillating charge and current distributions and calculate the radiated fields and power spectrum of the lowest multipoles (electric and magnetic dipole and electric quadrupole).1
  • The student can analyze a simple scattering process and determine the radiated fields, its polarization and power spectrum in the long-wavelength limit.1
  • The student understands the Liénard−Wiechert potential and the derivation of the acceleration fields, and can apply the resulting formalism to accelerated charges.1
  • The student is familiar with the radiation characteristics of ultra-relativistic charged particles moving in straight lines and circular orbits, e.g. synchrotron radiation.1
  • The student understands Cerenkov radiation at a qualitative level.

1Level: Jackon, Classical Electrodynamics.

Inhoud
The subject of this course is electromagnetic radiation. The course opens with short review of Maxwell's equations and the potentials, followed by the conservations laws for energy, momentum and angular momentum and a derivation of the retarded Green function from Maxwell’s equations. This Green function is the basis for the treatment of radiation, starting with the radiation of an oscillating charge distribution in the multipole expansion up to and including the quadrupole term. A further application is Rayleigh scattering and the structure function of a material.
This Green function is also used to derive the potential (Lienard-Wiechert) and radiation from an accelerated charge. The special case of a constant velocity larger than the speed of light in a medium leads to a qualitative description of Cerenkov radiation. The case of uniform circular motion is worked out to the point of a qualitative treatment of the power spectrum of cyclotron and synchrotron radiation.
Other important examples that are treated in the course are radiation from scattering of light to a free electron. (Thomson and Compton scattering) and radiation from a collision of two charges (Bremsstrahlung).
Onderwerpen
• Conservation laws (energy, momentum angular momentum)
• Green's function for radiation
• electric and magnetic dipole radiation, electric quadrupole radiation
• scattering of EM waves. Rayleigh's law.

• Liénard-Wiechert potentials
• Radiation of an accelerated charge, Larmor formula
• Radiation of linear accelerated motion versus circular motion, power spectrum of synchrotron radiation
• Cerenkov radiation, Brehmsstrahlung
Toetsinformatie
Written examination
Voorkennis
Bachelors course electromagnetism; calculus
Literatuur
Necessary:

• J.D. Jackson, Classical Electrodynamics, Wiley 1998, ISBN 0-4713-0932-X
• A syllabus will be distributed during the course.
Werkvormen

• 16 hours lecture
• 16 hours problem session
• 52 hours individual study period
Verplicht materiaal
Boek
J.D. Jackson, Classical Electrodynamics, Wiley 1998
Dictaat
Dictaat 'Electrodynamics 1 & 2'
Werkvormen
Cursusgebeurtenis

Hoorcollege

Werkcollege

Toetsen
Tentamen
Weging1
GelegenhedenBlok KW1, Blok KW2

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