Electrodynamics 1

Course number: 203-1-2381
3+2 hours, 4 points

Lecturer: Michael Gedalin
Assistant: Ben Yellin(site)

Lectures / Classes / Reception hours:

Day	Time	Building / Room	Comments
Monday	12-14	34/207	Lecture
Wednesday	9-11	28/301	Lecture
Sunday	13-14	28/204	Reserved for additional lectures (only when announced)
Thursday	10-12	54/326	Reception hours of M. Gedalin

Syllabus (from the Shnaton site):

Mathematical reminder: Vector calculus.
Maxwell equations in vacuum, continuity and boundary conditions.
Electrostatics in free space, Green function.
Electrostatics with boundaries, Laplace equation for various symmetries.
Magnetostatics.
Electrodynamics, induction, conservation laws.
Electromagnetic waves.
Fields of moving charges.
Radiation.
Relativistic electrodynamics.

Sources and links:

Main source: Griffiths, Introduction to Electrodynamics, Prentice Hall, 1999, QC 680.G74 (1989)
A: Pollack & Stump, Electromagnetism, QC 760.P65 2002
B:Bo Thide, Electromagnetic field theory
C:Landau & Lifshitz, The classical theory of fields, QC 665.E4L3713 1995
DJackson, Classical electrodynamics, QC 631.J3 1999
Exercises
Lecture notes
Useful links
Gedalin's teaching page

Course structure

No.	Topic	Basic source	Additional sources
1	Mathematical reminder: Vector calculus	Ch.1, Appendices	A.2
2	Maxwell equations in vacuum, continuity conditions		B.3
3	Electrostatics: Laplace and Poisson equations, Green's function, multipole expansion	Ch.2-3	A.3 (1-6), C.5 (36-42)
4	Boundary problems: conductors, general methods for Laplace equation	Ch.2-3	A.4 (1-4), A.5 (1-3), D.3
5	Magnetostatics	Ch.5	A.8 (2-7), C.5 (38, 43-45)
6	Electrodynamics	Ch.7-8	D.5 (15-18)
7	Electromagnetic waves	Ch.9	A.11 (1-2, 4-5), B.2, C.6 (46-50)
8	Fields of moving charges	Ch.10	B.7, C.8 (62-64)
9	Radiation	Ch.11	B.7.3, B.8, C.9
10	Relativistic electrodynamics	Ch.12	A.12, B.4, B.5*, C.1 (1-7), C.2 (8-9), C.3 (15-25), C.4 (26-33)

More details

Maxwell equations in vacuum(Week 1)
- Maxwell equations
- Charge conservation
- Integral theorems
- Potential and vector potential
- Differential vector operators in orthogonal curvilinear coordinates.
- Jump conditions
- Microscopic and macroscopic fields
Electrostatics in free space (Week 2)
- Laplace and Poisson equations
- General solution for Poisson equation without boundaries
- Multipole expansion
- Green function
- Dipole moment and polarization
Electrostatics with boundaries (Week 3)
- Conductors
- Boundary conditions
- Solution of Laplace equation for various symmetries
- Legendre polynomials, spherical harmonics, etc
- *Energy of conductors
- Simple dielectric media
- *Thermodynamics of simple dielectrics
- Electrostatic stress tensor and forces
Magnetostatics (Week 4)
- Vector potential, gauge
- Energy of a system of currents
- Multipole expansion
- Magnetic moment and magnetization
- Simple magnetic media
- *Thermodynamics of simple magnetics
- Magnetostatic stress tensor and forces
Electrodynamics (Week 4)
- Induction
- Conservation laws
- Stress tensor
- *Mutual and self-inductance
- Quasistatic fields, skin-effect
Electromagnetic waves (Weeks 5-6)
- Wave equation
- Dispersion relation
- Plane waves in vacuum, polarization
- *Partially polarized light
- Waveguide
- Waves in simple media
- Refraction, reflection
Fields of moving charges (Week 7-8)
- Retarded Green function
- Lienard-Wiechert potentials
- Close zone and radiation field
Radiation (Weeks 9-10)
- Radiation from oscillating sources
- Dipole radiation
- Radiation of accelerated charge
- Magnetodipole radiation
- Bremsstrahlung, cyclotron radiation.
Relativistic electrodynamics (Weeks 11-12)
- Special relativity in 4-space
- Metrics, Lorentz transform, 4-velocity
- 4-potential and electromagnetic field tensor
- Maxwell equations in 4-formalism
- *Energy-momentum tensor