# PHY1510H S general: Electromagnetism

Course Title | PHY1510H S general |
---|---|

Session | winter |

Year of Study | 1st year |

Time and Location |
Time: TR1 Location: MP1115 |

Course Homepage | Link to Course Homepage |

Pierre
Savaria |

#### Official Description

1. Electrostatics: Electrostatic field and potential; Laplace and Poisson equations and their formal solutions in terms of Green functions; electrostatic potential energy.
2. Boundary-Value Problems: Green functions as a generalisation of the method of images; boundary-value problems with azimuthal symmetry; Green function expansions inspherical coordinates applied to boundary-value problems.
3. Multipoles, Dielectrics: Multipole expansions for field, potential, and energy; electrostatics in media with boundary-value problems, susceptibility, energy in dielectrics.
4. Magnetostatics and Faraday's Law: Laws of Ampère and Biot and Savart, vector potential, magnetic field of, and force on, a localised current distribution; magnetic energy, magnetic fields in macroscopic media with some examples; Faraday's Law, quasi-static fields.
5. Maxwell's Equations, Conservation Laws: Maxwell's equations for fields and potentials, Cauchy initial-value problem of the theory and gauge arbitrariness; Green functions for the wave equation; Poynting's theorem in media, applications to harmonic fields.
6. Plane EM Waves and Wave Propagation: Plane waves in non-conducting media, polarisation, reflection and refraction, dispersion.
7. Radiating Systems: electric dipole and quadrupole radiation, magnetic dipole radiation.
8. Relativity and Electromagnetism in the Four-vector Formalism: Postulates of Relativity, Lorentz transformations, relativistic four-vector formalism, Faraday field tensor, four-potential, transformation of fields, gauge and duality properties of the theory, relativistic treatment of energy-momentum of electromagnetic fields.
9. Particle and Field Dynamics: Motion of particles in electromagnetic fields and Maxwell field equations derived in Lagrangian and Hamiltonian formalism.
10. Fields and Radiation from Relativistic Point-charges in Arbitrary Motion: Liénard-Wiechert potentials and Lorentz form-invariant fields; radiated power, non-relativistic and relativistic.

Textbook |
Jackson, J.D., Classical Electrodynamics, 3rd edition New York: Wiley, 1999. |
---|

## Additional Notes