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Microwave Engineering
book

Microwave Engineering

by Ahmad Shahid Khan
May 2014
Intermediate to advanced content levelIntermediate to advanced
800 pages
24h 50m
English
CRC Press
Content preview from Microwave Engineering
97Waveguides
2. If {(m
π
/a)
2
+ (n
π
/b)
2
} >
ω
2
με
,
γ
is purely imaginary (i.e.,
γ
= j
β
), the
wave progresses (theoretically) without attenuation. The phase shift
constant of the wave is
β γ ω µε
π π
β ω µε= =
+
=
2
2 2
2 2 2
m
a
n
b
h
nm
or
(3.22b)
3. Lastly, if {(m
π
/a)
2
+ (n
π
/b)
2
} >
ω
2
με
, the angular frequency
ω
=
ω
c
(= 2
π
f
c
), where f
c
is referred to as the cutoff or critical frequency and
is given by
f
m
a
n
b
c
=
+
1
2
2 2
π µε
π π
(3.22c)
3.3.4 Possible and Impossible Modes
In view of Equations 3.19 and 3.21, the following conclusions can be drawn:
3.3.4.1 Lowest Possible TM Mode
In case of the TM wav
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Publisher Resources

ISBN: 9781466591417