Assignment 03: Smith Chart
March 6, 2013
1. Write a python/octave function to generate a YZ smith chart on Python/Octave. All your plots will be overlaid on this plot.
(You can use the code given in the YZanalysis.pdf for the basic code, but will have to

General Properties of a Waveguide Mode
February 6, 2013
The two curl equations of Maxwell's equations can be written as
E
H
(1)
= aH
= bE
where a = j and b = j . Then, we have
x
x
Ex
y
y
Ey
z
j
Ez
Hx
= a Hy
Hz
(2)
This can be also written as
E j z E = a

Gyrotropic Materials
February 6, 2013
When a material response is due to a magnetic eld, it is called a gyrotropic material. An example of such a material is
an electron gas (with neutralizing, stationary positive charges). Let us derive the wave equation

Uniqueness for Magnetic Field Solution
April 1, 2013
1
Uniqueness of Solution
Consider a cavity that is current-free with connected, conducting walls. Since the cavity is current free, we can write
H = 0
and hence
Then, assuming to be homogeneous and line

Computing Vector Identities
January 12, 2011
Vector identities are the biggest headaches of Electromagnetics. Bizarre identities
appear and we are expected to feel happy about their appearance. Fortunately for those
who arent that fond of these manipulati

Steady State Power in Waves
March 3, 2013
We start with Phaser version of the Poynting Theorem for elds:
E J j E D + j H B dV
E H dS =
2P =
S
(1)
V
We assume that the elds are related by
J = E
D = E
B = H
where , and are Hermitian (all three have to be H

The YZ Smith chart
March 6, 2013
We start with a waveguide with z = 0 at the load and z < 0 as we move towards the source. The solution of
the waves in the waveguide is
V (z) = V + e j( t z) +V e j( t+ z)
1
I(z) =
V + e j( t z) V e j( t+ z)
Z0
At the load

Chapter 7
Counters and Registers
Introduction
Circuits for counting are needed in computer
and digital systems
A Counter circuit consists of a series of flipflops (FFs) connected together to produce a
sequence of states
The state is often referred as a

ECE 2301 TRANSMISSION LINES & WAVEGUIDES
Test II
Date: November 29, 2013
Time: 40 Minutes
a) Explain why a lumped model of a transmission line does not give the same results as a distributed model.
b) Using a well labeled diagram, briey describe the const

TUTORIALS/EXERCISE PROBLEMS
1. A coaxial lossless transmission line with an inner conductor of diameter 2 mm and internal
diameter for the exterior conductor of 7.5 mm is filled with polythene dielectric (r = 2.56, r =
1).
[Exercise/Homework]
2. For a di

EEC 2504/ETI 2505 DIGITAL SIGNAL PROCESSING
LABORATORY WORK
Instructions: Attempt ALL questions
1. Use MATLAB to evaluate the first 20 values for the LTI systems represented
by the following impulse response:
h n 1 u n 2 u n 3
n
2. Use MATLAB to evaluate

ANTENNAS ASSIGNMENT
(a) An infinitesimal dipole antenna of length l metres carrying a uniform current I 0 has
I le jkr
magnetic vector potential components given by: A x A y 0 and A z 0
az .
4r
Derive equations for its H and E fields components.
(8 marks)

Possible project topics for EE5491
April 3, 2013
1. An optical bre (core radius a m, cladding radius 125 m) is spliced (welded) to another optical bre of the same type, but
with core radius a m. Determine the the power reected at the splice,
A new type sp

The Dielectric Constant and the Displacement
Vector
January 10, 2012
Let us start with what we know: If we have a set of known charges, the eld due to
those charges is given by
E =
(1)
0
Even if the charges are not known, this equation is true, except tha

Assignment 0: Electrostatics
January 18, 2013
Posted: 18/1/2013
Due: 25/1/2013
1. Rederive the uniqueness result for the solution of Poissons Equation when the region within the cavity is lled with an
inhomogeneous dielectric, i.e., where is a function of

1. Derive the ABCD matrices for the single series, single shunt, pi, tee and transformer 2-port circuits.
2. Derive the table in textbook that converts ABCD, Z, Y and hybrid parameters into each other.
3. Repeat the example problem of a high frequency tra

EE5491 Assignment 2: Anisotropic waves
January 31, 2013
Given on:
Due on:
31/1/2013
8/2/2013
A plane wave is injected into a medium with a dielectric whose material response
is given by
=
0
1
0
0
0
0 ,
0
0
1
= 0
(1)
2
i.e., its optical axis is aligned a

Assignment 0: Electrostatics
January 22, 2013
Posted: 18/1/2013
Due: 25/1/2013
1. Rederive the uniqueness result for the solution of Poissons Equation when the region within the cavity is lled with an
inhomogeneous dielectric, i.e., where is a function of

Assignment 5: RF Filter Design
March 24, 2013
1. Optical Transmitter front end: Design a low pass Bessel lter with a cutoff frequency of fc where fc = 10GHz and is
a factor between 0.5 and 1 (typically 0.8). The lter is designed to accept digital two leve

Assignment 2: Waveguides
February 9, 2013
1. An air-lled waveguide has a semicircular cross-section, as shown.
a
(a) Does the TEM mode exist?
(b) Find the frequency and eld structure of the T E01 , T M11 and T E11 modes.
(c) Write a Python program to plot

The Cross Product, Volume and Determinants
January 12, 2011
We all know the formula
AB =
x
Ax
Bx
y
Ay
By
z
Az
Bz
But what underlies this peculiar denition? The answer lies in how we dene differential volume, dV . In three dimensions with coordinates u, v

What is the Curl?
January 17, 2012
We have the denition of curl from our earlier Physics course
B =
x
x
Bx
y
y
By
z
z
Bz
Where does this denition come from? And what kinds of elds have non-zero
curl?
The Denition and Basic Properties
The curl of a eld is

The Material Response to Applied B and the
Magnetic Field Intensity H
January 23, 2013
This discussion parallels the discussion of the dielectric response. So we will go a
little quickly, assuming that you have already read that writeup.
If we have a set

Anisotropic Materials
January 23, 2013
When a material response is not isotropic (tensor , but scalar = 0 ), we get a matrix wave equation.
E = j 0 J + j E
From our Einstein notation approach, we can simplify the left hand side:
E
= i jk ei j (klm l Em )

Lecture 27
Counters
Overvie
w
Counters are important components in computers
The increment or decrement by one in response to input
Counters with D Flip Flops
Counters with JK and T Flip Flops
Types of Counters
Ripple counters
Flip flop output serv