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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
112 Microwave Engineering
3.4.2 TE Waves
For this case, E
z
0; thus, the eld components given by Equation 3.58 become
E
j
h
H
z
ρ
ωµ
ρ
∂φ
=
2
1
(3.60a)
E
j
h
H
z
φ
ωµ
∂ρ
=
2
(3.60b)
H
h
H
z
ρ
γ
∂ρ
=
2
(3.60c)
H
h
H
z
φ
γ
ρ
∂φ
=
2
1
(3.60d)
3.4.3 Solution of Wave Equation
In view of Equations 3.59 and 3.60, all the eld components are related to E
z
or H
z
. E
z
and H
z
can be obtained by solving Equations 3.53a and 3.53b for E
or H. These are obtained as below.
Equations 3.53a and 3.53b can be written in differential forms in cylindri-
cal coordinates as
1 1
0
2
2
2
2
ρ
∂ρ
ρ
∂ρ ρ
∂φ
E E
h E
z z
z
+ + =
(3.61a)
1 1
0
2
2
2
2
ρ
∂ρ
ρ
∂ρ ρ
∂φ
H H
h H
z z
z
+ + =
(3.61b)
To obtain the solu
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Publisher Resources

ISBN: 9781466591417