Electromagnetic Theory
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Electromagnetic Theory

Notes and problems from UofT ECE1228 (2016)

About the Book

This book contains course notes from the Fall 2016 session of the University of Toronto Electromagnetic Theory course (ECE1228H), taught by Prof. M. Mojahedi.

The syllabus described this course as covering the fundamentals of electromagnetic theory, including topics such as

- Maxwell's equations

- constitutive relations and boundary conditions

- wave polarization.

- Field representations: potentials

- Green's functions and integral equations.

- Theorems and concepts: duality, uniqueness, images, equivalence, reciprocity and Babinet's principles.

- Plane cylindrical and spherical waves and waveguides.

- radiation and scattering.

About the Author

Peeter Joot
Peeter Joot

Peeter Joot is a math and physics enthusiast with a love of geometric algebra.

Peeter's education includes a B.A.Sc from UofT (1997 Engineering Science - computer engineering), 2019 UofT M.Eng (ECE electromagnetics), a lot of self-study, and non-degree study of most of the interesting 4th year UofT undergrad physics courses.

Peeter's day job is software development. He has over 20 years of experience with low level systems programing, operating system and hardware abstraction and exploitation, concurrency, and large scale refactoring. Peeter works for LzLabs and now has fun with PL/I, COBOL, JCL, VSAM, CICS and other legacy subsystems sure to scare away most developers of his generation.

Table of Contents

  • Copyright
  • Document Version
  • Dedication
  • Preface
  • Contents
  • List of Figures
  • 1 Introduction.
  • 1.1 Conventions for Maxwell's equations.
  • 1.2 Units.
  • 2 Boundaries.
  • 2.1 Integral forms.
  • 2.2 Constitutive relations.
  • 2.3 Polarization and magnetization.
  • 2.4 Linear and angular momentum in light.
  • 2.5 Helmholtz's theorem.
  • 2.6 Problems.
  • 3 Electrostatics and dipoles.
  • 3.1 Polarization and Magnetization.
  • 3.2 Point charge.
  • 3.3 Electric field of a dipole.
  • 3.4 Bound (polarized) surface and volume charge densities.
  • 3.5 Problems.
  • 4 Magnetic moment.
  • 4.1 Magnetic moment.
  • 4.2 Conductivity.
  • 4.3 Problems.
  • 5 Boundary value conditions.
  • 5.1 Boundary conditions.
  • 5.2 Conducting media.
  • 5.3 Boundary conditions with zero magnetic fields in a conductor.
  • 5.4 Problems.
  • 6 Poynting vector.
  • 6.1 Problems.
  • 7 Time harmonic fields.
  • 7.1 Problems.
  • 8 Lorentz-Lorenz dispersion.
  • 8.1 Lorentz-Lorenz Dispersion.
  • 8.2 Calculating the permittivity and susceptibility.
  • 8.3 No damping.
  • 8.4 Multiple resonances.
  • 8.5 Problems.
  • 9 Druid model.
  • 9.1 Druid model.
  • 9.2 Conductivity
  • 9.3 Problems.
  • 10 Wave equation.
  • 10.1 Wave equation.
  • 10.2 Time harmonic form.
  • 10.3 Tunnelling.
  • 10.4 Cylindrical coordinates.
  • 10.5 Waves.
  • 10.6 Problems.
  • 11 Quadrupole expansion.
  • 11.1 Explicit moment and quadrupole expansion.
  • 11.2 Problems.
  • 12 Fresnel relations.
  • 12.1 Single interface TE mode.
  • 12.2 Single interface TM mode.
  • 12.3 Normal transmission and reflection through two interfaces.
  • 12.4 Total internal reflection.
  • 12.5 Brewster's angle.
  • 12.6 Problems.
  • 13 Gauge freedom.
  • 13.1 Problems.
  • A Useful formulas and review.
  • B Geometric Algebra.
  • C Electrostatic self energy.
  • D Magnetostatic force and torque.
  • E Line charge field and potential.
  • F Cylindrical gradient operators.
  • G Spherical gradient operators.
  • H Spherical Laplacian.
  • I Transverse gauge.
  • J Mathematica notebooks.
  • Index
  • Bibliography

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