Undergraduate mathematics courses: Multivariable analysis (MVE600 or equivalent), Complex analysis (MVE295 or equivalent)

To give ability to analyse and solve fundamental field problems.

Electrostatics

• Describe charge and charge densities and calculate field and potential from these concepts. 
• Explain how dielectric materials and metals are modeled. Be able to perform field calculations in the presence of these materials.
• Describe and solve boundary value problems in simple geometries.
• Explain and perform calculations of force, capacitance, and electrostatic energy.

Magnetostatics

• Explain conservation of charge, the concept of current and resistance and perform calculation using these concepts. 
• Explain current and current densities and calculate fields and vector potentials from these.magnetic vector potential for analysis, calculations and theoretical reasoning.
• Explain how magnetic materials are modeled. Be able to perform field calculations in the presence of these materials. 
• Describe and solve boundary value problems equations in simple geometries.
• Explain and perform calculations of force, inductance and magnetic energy.

Electrodynamics

• Explain Maxwell’s equations, the wave equations, and the physical interpretation of their solutions. 
• Be able to use time dependent field concepts in problem solving.
• Explain plane waves and their properties as well as apply these in problem solving in simple geometries. 
• Explain the basic principle of antennas and how these are characterized as well as to use the field expressions in problem solving. 

Electrostatics

Charge and charge densities, Coulomb's law, electrostatic field, Gauss' law, electrostatic potential, conductors and insulators, electric dipoles and dipole fields, torque and forces on dipoles in electric fields, polarisation and polarisation charge densities, electric displacement, boundary conditions, capacitance calculations, electrostatic energy, energy density in the electric field, force calculation using the energy method, Poisson's and Laplace's equations, uniqueness theorem, electrostatic boundary value problems. Steady electric current: Current density, Ohm's law, equation of continuity, boundary conditions, relaxation time, Joule's law, resistance calculations.

Magnetostatics

Magnetic flux density, Lorentz force, Ampère's law, magnetic vector potential, Biot-Savart's law, magnetic dipoles and dipole fields, torque and forces on dipoles in magnetic fields, magnetisation, magnetisation current densities, magnetic field intensity, boundary conditions, ferromagnetic hysteresis, inductance and mutual inductance, magnetic energy, energy density in magnetic field, force calulations using the energy method. 

Electrodynamics

Faraday's law of induction, displacement current density, Maxwell's equations, boundary conditions, wave equations, retarded potentials, complex vector fields, plane waves, skin effect, Poynting's theorem, reflection and transmission of plane wave at plane interface, Fresnel equations, Brewster angle, total internal reflection, antennas, Hertzian dipole.

Lectures, tutorials, problem solving. A non-obligatory "mid-period exam" can give bonus points for the exam. Voluntary web-based hand-in questions every week can give bonus points for the exam.

Course book: DK Cheng: Field and Wave Electromagnetics (Pearson New International Edition) 

Additional course material can be downloaded from the course webpage.

A written exam. Non-obligatory hand-in questions and a voluntary "mid-period exam" give bonus points for the exam.