Hollow Waveguides
55
Then, Pd becomes
Pd =
and
kz
00
! 2 2
4
2 ks
I
C
dl|rs Ez |2 ,
H
dl|rs Ez |2
k2
C
R
=
.
2
4kz ks
dS|Ez |2
(2.4.38)
(2.4.39)
S
The above method of computing the attenuation of a wa
Submitted to the Annals of Applied Probability
HIGH DIMENSIONAL SPARSE COVARIANCE ESTIMATION:
ACCURATE THRESHOLDS FOR THE MAXIMAL DIAGONAL ENTRY
AND FOR THE LARGEST CORRELATION COEFFICIENT
By Aharon B
The Annals of Statistics
2008, Vol. 36, No. 1, 199227
DOI: 10.1214/009053607000000758
Institute of Mathematical Statistics, 2008
REGULARIZED ESTIMATION OF LARGE
COVARIANCE MATRICES
B Y P ETER J. B IC
This article was downloaded by: [Academy of Mathematics and System Sciences]
On: 21 June 2012, At: 23:53
Publisher: Taylor & Francis
Informa Ltd Registered in England and Wales Registered Number: 1072
ECE 531 Theory of Guided Waves
Homework 9
Due Nov 8, 2012
Reading Assignment: Lecture Notes Chapters 5 and 6
Do Problems 5-6.
Additional Problem:
(a) Convince yourself that if the LHM slab is matched
ECE 531 Theory of Guided Waves
Take Home Exam 1
Due October 11, 2012
Problem 1:
Show that for a cold, collisionless plasma consisting of freely moving
electrons, that the dispersion relation for permi
ECE 531 Theory of Guided Waves
Take Home Exam 2
Due November 27, 2012
Problem 1:
Assume that you have a circular microstrip patch antenna with radius a and thickness d ,
use a magnetic wall model:
(a)
ECE 531 Theory of Guided Waves
Homework 2
Due September 13, 2012
Reading Assignment: Lecture Notes Chapter 2
Do Problems 2-1, 2-2, 2-3, 2-8 of lecture notes
Additional Problem:
Please give the physica
ECE 531 Theory of Guided Waves
Homework 3
Due September 20, 2012
Reading Assignment: Lecture Notes Chapter 2
Do Problems 2-12, 2-13, 2-17 of lecture notes
Addition problem:
Explain physically why an e
ECE 531 Theory of Guided Waves
Homework 6
Due October 18, 2012
Reading Assignment: Lecture Notes Chapter 4
Do Problems 4-1
New Problem:
Let us assume that the waveguide in Fig. 4.1 of the notes is of
190
Theory of Microwave and Optical Waveguides
The above is a matrix equation of the form
b=Aa
(5.2.34)
where,
[b]m = hfm , Hinc i, [A]mn = i!hfm , 2 G2m
1 G1m , fn i, [a]n = an
(5.2.35)
and
hfm , G,
136
Theory of Microwave and Optical Waveguides
l
y
^
n
Sp
V
Sa
d
So
S
Figure 4.1: Excitation of a cylindrical, hollow waveguide by a probe.
A dyadic Greens function is dened to be a solution to the fo
28
Theory of Microwave and Optical Waveguides
Exercises for Chapter 1
Problem 1-1: The fundamental units in electromagnetics can be considered to be meter,
kilogram, second, and coulomb.
(a) Show that
82
Theory of Microwave and Optical Waveguides
Exercises for Chapter 2
Problem 2-1: Many transmission line systems have more than two conductors, like your
home telephone line, computer bus etc. If you
Chapter 1
Preliminary Background
1.1
Introduction
Waveguiding phenomena occur naturally or are man made. For instance, waveguides are
a fundamental component of radio wave, microwave and optical circu
Inhomogeneously Filled Waveguides
109
where d is the thickness of the slab. In etalon application, regions 1 and 3 are free space while
region 2 is dielectric. Specializing to the case when regions 1
Coupling of Waveguides and Cavities
163
Now, if we lay another waveguide on top of the rst waveguide, the radiating electric and
magnetic dipoles couple most e ciently into the TE10 mode of the top wa
Discontinuities in Waveguides
217
I (z
I ( z ), V ( z )
z ), V ( z
z)
Z
Y
Figure 5.26: Lumped element model for deriving the CRLH transmission line equations.
@ 2 I(z)
= ZY V (z)
@z 2
(5.8.12)
or
2
=
Microwave Integrated Circuits
325
Figure 7.22: Equivalent circuit for a T junction.
+
V1
V1
1
2
l
0
0
V2
Plane of symmetry
1
A
A
1
V3
0
0
4
3
V4
Figure 7.23: A directional coupler made of microstrip l
244
Theory of Microwave and Optical Waveguides
Hs =
i
[k r H + ! rs Ez ],
z
2 z s z
ks
(6.6.7b)
we deduce that in region 1,
1
X
E1s =
n (k1s , rs )
!1 bn z rs <g
n (k1s , rs )],
(6.6.8a)
1
X
n (k1s ,
298
Theory of Microwave and Optical Waveguides
y
z
r
x
r
Slot Line
Microstrip Line
r
r
Coplanar Strips
Coplanar Waveguide
Figure 7.1: Dierent kinds of microwave integrated circuits waveguides.
rs Hs =
ECE 531 Theory of Guided Waves
Homework 7
Due October 25, 2012
Reading Assignment: Lecture Notes Chapter 4
Do Problems 4-7
New Problem:
Go through the mode-matching solution in Section 4.2.3 and make