BGU Physics Department

Course number: 203-1-2381

3+2 hours, 4 points

3+2 hours, 4 points

Lecturer: Michael Gedalin

- 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.

- 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

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) |

- 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