Department of Electrical and Computer Engineering
ECE 4390 Engineering Computations IV
Laboratory 5: The Finite-Difference Time-Domain Method for EM
Tuesday, November 16, 2010
Due Date: Tuesday, November 30, 2010
Part I: One-Dimensional Plane Waves
1) Sta
1. Transient Plane Wave
Here we discuss the specification of an incident plane wave using the coordinates shown in Figure 1,
where we denote the unit vectors of the spherical coordinate system as a r , a and a and those of the
Cartesian coordinate sys
Conjugate Directions
Powells method is based on a model quadratic objective function and conjugate
n
directions in R with respect to the Hessian of the quadratic objective function.
n
what does it mean for two vectors u, v R to be conjugate ?
n
Definiti
Functions of Several Variables
The Unconstrained Minimization Problem
In n dimensions the unconstrained problem is stated as
minimize f(x), x R
n
where f(x) is a scalar objective function of vector argument x, and x is a column vector of n real
variables.
Minimization Using Descent Information
we will consider the minimization of unconstrained functions of several variables
where we now assume we have some derivative information such as the gradient
vector or the Hessian matrix.
Recall that Powells metho
Department of Electrical and Computer Engineering
ECE 4390 Engineering Computations IV
Laboratory 3: Solution of Transmission Lines Using Finite Difference Methods
Tuesday, October 19, 2010
Due Date: Tuesday, October 26, 2010
Part I: Solution of the Trans
_08_ELC4340_Spring13_Transmission_Lines.doc, V130228
Transmission Lines
Inductance and capacitance calculations for transmission lines.
matrices, effect of ground conductivity. Underground cables.
1.
GMR, GMD, L, and C
Equivalent Circuit for Transmission