ECE1228: ELECTROMAGNETIC THEORY

This is a fundamental course in engineering electromagnetics as it is applied in RF/microwave,

antenna and optical devices.

Course Outline

1. FUNDAMENTAL CONCEPTS (4 lectures)

Maxwell’ equations: integral form

: differential form

Constitutive relations

Time-dependent wave equation

Boundary conditions

Time-harmonic fields

Power flow: Poynting theorem

Wave equation

2. FIELD REPRESENTATIONS (6 lectures)

Inhomogeneous wave equation

Vector and scalar potentials

Hertz vectors

Linear system concepts

Solution to the 3-D wave equation

Green’s functions

Integral equations

Field representation via potential and Hertz vectors

3. PLANE WAVES (3 lectures)

Nature of a plane wave

Polarization states

Plane-wave expansion

Reflection and transmission at an interface

4. PLANAR WAVEGUIDES (3 lectures)

Mode concepts

Grounded dielectric slab (thin-film waveguides)

Rectangular metallic guide

Rectangular cavity

5. CYLINDRICAL WAVES (4 lectures)

Scalar wave functions

Circular metallic guide

Coaxial cable

Fiber optical cable

Cylindrical wave representations

6. SPHERICAL WAVES (2 lectures)

Scalar wave functions

Vectror wave functions

7. THEOREMS AND CONCEPTS (4 lectures)

Duality

Uniqueness

Image theory

Equivalence principles

Babinet’s principle

Reciprocity

Prerequisite

ECE 320F or ECE 357S

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