
132 Microwave Engineering
E
y
= C B (−j
ωμ
/h
2
) sin(m
π
x/a) cos(n
π
y/b) e
−j
β
z
= E
y0
sin(m
π
x/a) cos(n
π
y/b) e
−j
β
z
Since m = n = 1, a = b = √6 and
β
g
= 1.1 rad/m
E
x
= E
x0
cos(
π
x/√6) sin(
π
y/√6) e
−j1.1z
V/m
E
y
= E
y0
sin(
π
x/√6) cos(
π
y/√6) e
−j1.1z
V/m
EXAMPLE 3.3
Calculate the values of inductive and capacitive reactances of equiva-
lent circuits for (a) TE
11
and (b) TM
11
of 10 GHz wave propagating in an
air-lled hollow rectangular waveguide with a = 5 cm and b = 2.5 cm.
Illustrate these values in equivalent circuits and calculate correspond-
ing Z
0
(TM) and Z
0
(TE).
Solution
Given m = n = 1 for both TE and TM waves, a = 5 cm and b = 2.5 cm.
For air,
μ