Skip to Main Content
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
102 Microwave Engineering
3.3.7.3 Variation of Z
z
,
υ
and
λ
with Frequency
The variation of characteristic impedances (for TM and TE waves) with fre-
quency is given by Equations 3.26 and 3.28. The other parameters, namely,
operating frequency (f), cutoff frequency (f
c
), velocity (
υ
), velocity at cutoff
(
υ
c
), operating wavelength (
λ
) and cutoff wavelength (
λ
c
) are related and will
be as discussed below. These relations are obtained in view of Equations 3.22
and the general relations, for example,
υ
= f
λ
,
υ
=
ω
/
β
and
λ
= 2
π
/
β
obtained
in Chapter 2.
υ
= f
λ
=
ω
/
β
=
υ
0
/{1 (
ω
c
/
ω
)
2
} =
υ
0
/{1 (f
c
/f)
2
} (3.29a)
λ
=
λ
g
= 2
π
/
β
= 1/[f(
μ
/
ε
){1
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Microwave Engineering: Land & Space Radiocommunications

Microwave Engineering: Land & Space Radiocommunications

Gérard Barué
Microwave and Radar Engineering

Microwave and Radar Engineering

Gottapu Sasibhushana Rao

Publisher Resources

ISBN: 9781466591417