Selected Topics in Electronic Engineering

Electromagnetic Theory

A 23-part course from mathematical foundations through Maxwell's equations, waves, numerical methods and antennas.

• 01. Mathematical Language & NotationSymbols, notation and mathematical conventionsM²S: worksheet1  worksheet2
• 02. Complex Numbers, Exponentials & PhasorsComplex arithmetic, Euler forms and phasor foundationsM²S: worksheet
• 03. Vector Algebra & Coordinate SystemsVector operations and Cartesian, cylindrical and spherical coordinatesM²S: worksheet
• 04. Multivariable Calculus & IntegrationPartial derivatives, multiple integrals and the calculus toolkit for EMM²S: worksheet
• 05. Electric & Magnetic FieldsCore electric and magnetic field concepts and physical interpretationM²S: worksheet
• 06. Gradient, Divergence & CurlField derivatives and the operators used in electromagnetic theoryM²S: worksheet
• 07. Maxwell's EquationsIntegral and differential forms with their electromagnetic meaningM²S: worksheet
• 08. Sinusoidal Fields & Phasor-Domain MaxwellSteady-state sinusoidal fields and frequency-domain field equationsM²S: worksheet
• 09. From Maxwell to the Wave EquationDerivation and interpretation of the electromagnetic wave equationM²S: worksheet
• 10. Plane Waves, Polarization, Impedance & PowerWave behaviour, polarization, intrinsic impedance and power flowM²S: worksheet
• 11. Electromagnetic Boundary ConditionsNormal and tangential field behaviour at material interfacesM²S: worksheet
• 12. Transmission Lines as EM SystemsTransmission-line behaviour developed from electromagnetic principles
• 13. Waveguides & CavitiesModes, cutoff and propagation in guided electromagnetic structures
• 14. Introduction to Computational ElectromagneticsWhy and how electromagnetic field problems are solved numerically
• 15. Potentials, Field Equations & Green's FunctionsPoisson, Laplace and Helmholtz equations with Green-function methods
• 16. Method of Moments for 2D ElectromagneticsIntegral-equation formulation, discretisation and numerical solution
• 17. FEM, FDTD & Eigenmode SolversCore numerical methods for field, time-domain and modal analysis
• 18. Radiation, Antennas, Scattering & ReciprocityRadiating fields, antenna principles, scattering and reciprocity
• 19. Teaching & Synthesis GuideA joined-up view of the main ideas and their relationships
• 20. Worked Examples: Mathematical FoundationsPractice problems covering the mathematical foundations of the courseM²S: worksheet
• 21. Worked Examples: Maxwell & Wave TheoryWorked applications of Maxwell's equations and wave conceptsM²S: worksheet
• 22. Worked Examples: Interfaces, Lines & WaveguidesProblems on boundaries, transmission lines, guides and numerical EMM²S: worksheet
• 23. Worked Examples: Numerical EM & AntennasGreen functions, MoM, FEM, FDTD and antenna worked examplesM²S: worksheet