ECE 450
Homework 3
Due: Tue, Feb 8, 2011, 5 PM
1. A Hertzian radiation source with the current density
J(r, t) = xIo x(x 100)(y )(z 100) cos( t)
A
,
m2
is embedded in free space and its oscillation frequency f = 2 = 300 MHz. Assuming that Io x = 1
A.m, de
ECE 450
Homework 11
Due: Wed, May 5, 2010, 5 PM
1. Rectangular waveguides - Rectangular waveguides are commonly used in X-band microwave circuitry.
Waveguides at most other frequencies are either too big (imagine what a waveguide for a 1Mhz signal
looks l
ECE 450
Homework 9
Due: Mon, April 12, 2010, 5 PM
1. The propagation of ocean waves on the surface of deep water is governed by the dispersion relation
=
gk
where g represents gravitational acceleration and , k are the frequency and wavenumber, respective
ECE 450
Homework 2
Due: Tue, Feb. 2, 2010, 5 PM
1. Inhomogeneous Wave Equations (assuming time-harmonic variations)
2 V + k 2 V = o
2 A + k 2 A = o J
1 ejk|r|
4o |r|
The response of the system to an impulse was given in lecture as V (r) =
and Ai (r) =
o e
ECE 450
Homework 8
Due: Fri, April 2, 2010, 5 PM
1. A uniform, time-harmonic, circularly polarized plane wave propagating in air is impinging obliquely
upon a planar air-dielectric interface. The wavelength of the wave in air is 1 m. The magnetic
permeabi
ECE 450
Homework 10
Due: Wed, April 21, 2010, 5 PM
1. Total Internal Reection - A uniform, time-harmonic plane wave with TM polarized electric eld
phasor
x z j2 x+z V
2
Ei = e
m
2
propagating in glass is impinging obliquely upon a planar glass-air inter
ECE 450
Homework 7
Due: Thur, March 11, 2010, 5 PM
1. A uniform, time-harmonic plane wave propagating in air is impinging upon a planar air-dielectric
interface. The angle of incidence with respect to the normal to the interface is 45o . The frequency
of
ECE 450
Homework 6
Due: Thurs., March 4, 2010, 5 PM
1. A linear antenna array of length of 4.65 m is radiating in air. The operating frequency is 1 GHz.
Assume that all antenna elements are identical and that their driving currents are of the same magnitu
ECE 450
Homework 5
Due: Fri, Feb 26, 2010, 5 PM
1. Consider an array of four identical z -polarized short dipoles with input currents Io = 10 A at
locations (x, y, z) = (d, 0, 0) and (0, d, 0) and Io = 1180 A at locations (x, y, z) = (d, 0, 0) and
(0, d,
ECE 450
Homework 3
Due: Tue, Feb. 2, 2010, 5 PM
1. Consider a circular wire loop of radius a carrying a time-harmonic current I = Io cos (t) and
radiating in a homogeneous medium of electric permittivity and magnetic permeability . The loop
is placed on t
ECE 350
Homework 8 Solutions
Due: Fri, Oct 21, 2016, 5 PM
V.
1. We are given a uniform plane wave Ei (r, t) =(2
x 4 3
y + 4
z ) cos(t 2 3y 6z) m
V.
i (r) = (2
y + 4
z )ej(2 3y+6z) m
a) The phasor will be E
x 4 3
b) Breaking the ki into its vector compone
ECE 350
Homework 9
Due: Tue, Nov 1, 2016
1. A TM polarized TEM wave propagating in glass with r = 1 and r = 2.25 is incident on the x = 0
plane interface with free-space. The wave magnetic field intensity phasor is
i = ye
H
j(x+z)
A
.
m
a) Calculate the
ECE 350
Homework 7 Solutions
1.
a) The wave vector is given as k = (, , 0) =
x y .
p
i. Magnitude of k is k = |k| = 2 + ()2 = 2. The wavelength is =
= 2 m.
ii. Assuming free space propagation, the wave frequency is = 2f = 2 c = 3 2 108
iii. The angles an
ECE 350
Homework 1
1. On the y = 0 plane there is an innite surface current density described by
J(x, y, z) = z2 cos(2fo t)(y) A/m2
where fo = 100 MHz. Assuming free space everywhere else, determine H(x, 0+ , z), E(x, 0+, z) and
the average power transpor
ECE 350
Homework 5 Solutions
1. Retarded vector potential A has only component, i.e. A = A
.
. Thus, we write
a) From B = H = A , the magnetic eld is H = rH H
r
(1)
(
)
1
1
r
=
=
H
A
(A sin )
(rA )
r sin
r r
(
)
jkr
jkr
I0 a2
r
e jkr
e
1
e
=
ECE 350
Homework 7
1. For each uniform plane TEM wave described below in terms of its wave vector k determine the
corresponding (i) wavelength , (ii) wave frequency (assume free space propagation), (iii) angles
and describing the propagation direction of
ECE 450
Homework 4
Due: Tue, Feb. 16, 2010, 5 PM
= j Io l()ksin() ejkr .
1. In the class notes it is given that the field of a z-directed linear antenna is E
4
r
The dependence of the radiation field on theta is determined by the two factors sin() and l(
ECE 450 Spring 2011
Homework 3 Solutions
Due: Thu, Feb 10, 2011, 5PM
1. For a Hertzian radiation source with the current density
J(r,t) = x
I0 !x(x 100)(y)(z 100)cos(t)
the oscillation frequency f =
a) The wavelength is =
c
f
b) The wavenumber is k =
2
A
ECE 450 Spring 2011
Homework 13 Solutions
Due: Wed, May 4, 2011, 5 PM
1.
a) Given the air filled rectangular cavity dimensions, a = 2b = 4d = 8 cm, the dispersion relation
for cavities
k 2 = kx2 + ky2 + kz2
infers that
fmnl =
s
c m 2
2
a
+
n 2
b
+
2
l
.
305
October 1945.
Wireless World
EXTRA-TERRESTRIAL RELAYS
Can Rocket Stations Give World-wide
LTHOUGH it is posm'ble, by
a suitable choice of fre-
quencies and routes. to pro.
vide telephony circuiu between
any two points or regions of the
earth for a lar
JULY, 1928 PHYSICAL REVIEW VOLUME 32
THERMAL AGITATION OF ELECTRIC CHARGE
IN CONDUCTORS*
BY H. NYQUIST
ABSTRACT
The electromotive force due to thermal agitation in conductors is calculated by means
of principles in thermodynamics and statistical mechanics
Jicamarca, Peru - 288x288 m array, 50 MHz
Close up view:
18432 half-wave dipoles a quarter-wave above
a reflecting ground plane covered with chicken wire
Arecibo, Puerto Rico - 300 m diameter, 430 MHz
\ ', ECE 350 ' Fields and Waves ll Spring 15
University of Illinois Dragic
Exam 3
Wednesday, Apr 22, 2015 e 12:00-12:55 PM
i Nam 50 (Ho n S . j
, Panamj: 12 Noon 1
Please clearly PRINT your name in CAPITAL LETTERS and circle your section in the above bo
f dx dy(V,XT)-ez
= f dx dy(V,xT)-ez,
where T =fxex +fyey andZ =fzez. Here,fx, fy, f, and
()5 are functions of x, y, and 2 variables. They vanish when
|x| or ly| goes to innity. The functions fx, fy, and f, repre-
sent eld components of guided modes, while
ECE 350 . 2 Fields and Waves ll Spring 15
University of Illinois Dragic
Exam 1
Friday, Feb 20, 2015 12:001:00 PM
W [L gm. ' :_ i
[Section] 12 Noon _ ]
Please clearly PRINT your name in CAPITAL LETTERS and circle your section in the above boxes.
This
ECE 385
Lab 7
SOC with NIOS II in SystemVerilog
Jiale Quan, Kai Zhang
ABM Thursday 11:30 2:20
Lab TA: Bilal Gabula, Shuo Li
Introduction
In this lab, we will implement a simple SOC (System-On-Chip)
interfacing with peripherals such as the on-board switche
Antennas Chap. 9
+ /12
\/o V2
2\ V -
222
cfw_R . s + e
.
i _ :
V2
L11
pled antennas.
the receiving antenna 2 is a
[tenna is thus
2 (9.5.8)
lent A [depicted in Figure
na 2 is open-circuited; deg
electric eld that would be
e short dipole is electrically
eld
ECE 385
LAB 6
Simple Computer SLC-3.2 in SystemVerilog
Jiale Quan, Kai Zhang
ABM Thursday 11:30 2:20
Lab TA: Bilal Gabula, Shuo Li
Introduction:
In this lab, we will design and implement a simple microprocessor using
System Verilog, it will be a subset of