McMaster University Electrical and Computer Engineering

ECE 750 - Detailed Course Outline with Lecture Notes

 

Please click on the lecture number to download the notes.
 

Date

Lecture

Description

Sept. 8

1

Organizational Meeting

Sept. 15

2

Maxwell’s Equations: Integral Form, Differential Form, The Constitutive Relationships.

Sept. 17

3

Maxwell’s Equations: Boundary Conditions, Time-Harmonic Fields, Power and Energy Relationships.

Sept. 22

4

The TLM Method: Transient Response of a Transmission Line, Thevenin Equivalent, Sinusoidal Steady State, Discrete TLM models of Lumped Elements.

Sept. 24

5

The TLM Method: 1D TLM, Correspondence with Maxwell’s Equations.

Sept. 29

 

Class Cancelled

Oct. 1

6

The TLM Method: 2D TLM using Shunt Nodes, Modeling of Free space, Modeling of General Lossy Medium, Modeling of Boundaries, The Johns Matrix Absorbing Boundaries, Dispersion in 2D TLM.

Oct. 6

7

The TLM Method: 3D TLM using Symmetric Condensed Nodes (SCN), Applications.

 

*

First Project

Oct. 8

8

Auxiliary Vector Potentials: Magnetic Vector Potential, Electric Vector Potential, Construction of Solutions using Potentials.

Oct. 13

9

Class Cancelled: Thanksgiving

Oct. 15

10

Auxiliary Vector Potentials: Solution of Vector Potential Wave Equations, Applications.

Oct. 20

11

The FDTD Method: Finite Difference Approximations (FDA) of Derivatives, Applications in Solving Differential Equations.

Oct. 22

12

The FDTD Method: 1D FDTD, Stability.

Oct. 27

13

The FDTD Method:  2D FDTD, 3D FDTD.

Oct. 29

 

The FDTD Method:  Mur’s 1st and 2nd order ABC, Liao’s ABC, Applications.

 

*

Second Project

Nov. 3

 

14

Electromagnetic Theorems: Duality Theorem, Uniqueness Theorem,  Image Theory, Reciprocity Theorem, Surface Equivalence Theorem, Applications

Nov. 5

15

The MoM:  Differential Equations and Their Solutions, Relation between Integral and Differential Equations, The Green’s Function.

Nov. 10

16

The MoM: Inner Products, Basis and Weighting Functions, Formulation of the Method of Moments (MoM).

Nov. 12

17

The MoM: Applications

 

*

Third Project

Nov. 19

18

The Finite Element Method (FEM): The Ritz Method, Galerkin’s method, Introduction to FEM and General Steps, 1D FEM

Nov. 24

19

The Finite Element Method (FEM): 2D FEM, Applications

Nov. 26

20

The Finite Element Method (FEM): 3D FEM, Applications

 

 

Fourth Project

Dec. 1

21

Final Examination

 

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