Learning Outcomes
After the successful completion of the course, the students will be capable of treating subjects regarding to:
1. The nature of the electromagnetic field
2. The conception of Maxell's equations and their solutions and also the physical phenomena which these solutions describe, explain and predict
3. The Propagation of the electromagnetice forces
4. The electromagnetic fields produced by moving charges and the retarded potentials concept.
5. The concept and the theory of relativistic electrodynamics
Course Content (Syllabus)
Section 1: Electromagnetic field equations: Maxwell equations in space and time domain, both in differential and integral form. Emphasis is laid to dynamic phenomena, which the third and fourth Maxwell equations explain and describe(electromagnetic induction, displacement current etc). Scalar and vector potentials are defined. Coulomb and Lorenz gauges are analyzed. The energy of electric charge and current distributions, the electromagnetic field energy and Poynting vector are analyzed. The equation of electromagnetic field energy conservation is proved.
Section 2 : Solution of Maxwell's equation in Space and time domain-electromagnetic wave propagation: a) plane electromagnetic waves b) electromagnetic properties of materials c) propagation of electromagnetic waves in space and material media d) boundary conditions e)electromagnetic field of time varying charges and currents.
Section 3 :Electromagnetic field of moving charges: Global solution of Maxwell equations concerning retarded potentials. Solution is found for the electromagnetic field of moving particles with constant velocity or accelerated. Emphasis is laid to the limited velocity of electromagnetic force propagation.
Section 4: Relativistic electrodynamics: Postulate of electric charge conservation, Lorenz transformations and unchanging of Maxwell' equations and their solutions. Transformations of scalar and vector potentials, electric and magnetic field intensities. Emphasis is laid to the unified entity of the electromagnetic force
Keywords
electromagnetic field, electromagnetic induction, scalar potential, vector potential, Maxwell' s equations, electromagnetic field in space, plane electromagnetic waves, electromagnetic field in material media, retarded potentials, electromagnetic fields of moving charges, relativistic electrodynamics
Course Bibliography (Eudoxus)
1. Θεωρία Ηλεκτρομαγνητικού Πεδίου (Κ.Γ. Ευθυμιάδης, Αικ. Σιακαβάρα, Ε. Παπαδημητράκη - Χλίχλια, Ι.Α. Τσουκαλάς, Εκδόσεις CopyCity Ε.Π.Ε., 2015)
2. Εισαγωγή στην Ηλεκτροδυναμική (σε έναν τόμο) (David Griffiths, Ιδρυμα Τεχνολογίας & Έρευνας - Πανεπιστημιακές Εκδόσεις Κρήτης, 2012)