
4 Microwave Fundamentals 107
Next, consider the current per unit width owing in the wall, which we dene in our simplied
one-dimensional model by
Jjdx jdx
i
j
zz
ix
== =
+
∞∞
−+
()
∫∫
00
0
1
0
1
e
/δ
δ
(4.56)
We dene a complex surface impedance of the conducting wall by
Z
E
J
E
j
i
i
z
s
==
+
=+
()
00
0
11
1
δσδ
(4.57)
The real part of this impedance is the surface resistance:
R
f
s
==
1
0
12
σδ
πµ
σ
/
(4.58)
Note that
has the dimensions of a resistance, although strictly speaking, it is not a resistance in
the classical sense.
Next, consider the relationship between
J
z
and the tangential component of B at the wall.
Starting with Ampere’s law again, neglecting the so