McMaster University Electrical and Computer Engineering

ECE 757 - Detailed Course Outline with Lecture Notes

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Date	Lecture	Description
September9th	0	Organizational Meeting
September 16th	1	Maxwell’s Equations: Integral Form, Differential Form, The Constitutive Relationships.
	2	Maxwell’s Equations: Boundary Conditions, Time-Harmonic Fields, Power and Energy Relationships.
September 23	3	The TLM Method: Transient Response of a Transmission Line, Thevenin Equivalent, Sinusoidal Steady State, Discrete TLM models of Lumped Elements.
	4	The TLM Method: 1D TLM, Correspondence with Maxwell’s Equations.
October 7th	5	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.
	6	The TLM Method: 3D TLM using Symmetric Condensed Nodes (SCN), Applications.
October 28th	7	The FDTD Method: Finite Difference Approximations (FDA) of Derivatives, Yee’s Cell, Update Equations for the 3D case
November 4th	8	The FDTD Method: 2D FDTD, 1D FDTD, Stability.
	9	The FDTD Method: Boundary Conditions, Mur’s 1^st and 2^nd order ABC
November 11th	10	The MoM: Differential Equations and Their Solutions, Relation between Integral and Differential Equations, the Green’s Function, Inner Products, Basis and Weighting Functions, Formulation of the Method of Moments (MoM).
	11	The MoM: Applications
	12	The Finite Element Method (FEM): The Ritz Method, Galerkin’s method, Introduction to FEM and General Steps, 1D FEM
	13	The Finite Element Method (FEM): 1D FEM, Applications
	14	The Finite Element Method (FEM): 2D FEM, Applications
	15	The Finite Element Method (FEM): Vector Finite Element
	16	The Mode Matching Method (MM): Basic Concepts
	17	The Mode Matching Method (MM): Applications
	18	The Beam Propagation Method: Basic concepts
	19	The Beam Propagation Method: Applications
	20	Open Discussion

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