ECE 6341
Spring 2014
HW 4
1) Consider an infinite line source of current having the form
I = exp ( jk z 0 z ) ,
(z)
which is flowing on the z axis in an infinite medium with wavenumber k. Assume that the
wavenumber kz0 is real, so that the integral conver
ECE 6341
Spring 2014
HW 3
1) Show that
Az = ln ( ) e jkz
is a valid solution to the scalar Helmholtz equation. Note that kz = k and that there is no
variation. Determine the electric and magnetic fields that correspond to this vector potential.
What type
ECE 6341
Spring 2014
Homework 7
Please do Probs. 1, 2, 4-7.
1) Consider the wavenumber k=
y0
(k
2
0
k x2
)
1/2
=
, with k x k0 ( 0.5 j 0.5 ) .
Determine the numerical value of ky0 (in terms of k0) for each of the following cases
below. The top sheet is t
ECE 6341
Spring 2014
HW 2
Assigned problems: 1-5, 8-12.
1) Assume that a TEN models a layered structure, where the x direction (the direction
perpendicular to the layers) is the direction that the transmission line in the TEN runs.
Normally, we would use
ECE 6341
Spring 2014
HW 1
1) Sometimes people use the Hertz potentials instead of the magnetic and electric vector
potentials when solving problems. The electric and magnetic Hertz potentials are related
to the magnetic and electric vector potentials (in
ECE 6341
Spring 2014
Prof. David R. Jackson
ECE Dept.
Notes 41
1
Microstrip Line
Microstrip Line
I0
w
y
r , r
h
x
Dominant quasi-TEM mode:
B ( y) =
I0 /
2
w
y2
2
J sx ( x, y ) = B ( y ) e jkx 0 x
We assume a purely x-directed current and a real wave
ECE 6341
Spring 2014
Prof. David R. Jackson
ECE Dept.
Notes 42
1
Patch Antenna Example
Find
E x ( x, y , 0 )
W
L
y
r , r
h
x
Dominant (1,0) mode:
1
x
J sx ( x, y ) = cos
W
L
2
Patch Antenna (cont.)
Recall that
Ex = Gxx J sx
1 2 TM
( k , k ; z , z )