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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
289Scattering Parameters
Thus
s
13
= s
31
s
12
= s
21
s
23
= s
32
= s
13
(8.13)
The refection coefcient s
33
= 0 as port 3 is perfectly matched.
In view of the above properties, [S] matrix can be modied to
[ ] S
s s s
s s s
s s
=
11 12 13
12 22 13
13 13
0
(8.14)
In view of unity property
[s
ij
] [s
ij
*
] = [I] (8.15)
s s s
s s s
s s
s s s
s s s
11 12 13
12 22 13
13 13
11 12 13
12 22 13
0
* * *
* * **
* *
s s
13 13
0
1 0 0
0 1 0
0 0 1
=
(8.16)
This leads to the following set of equations:
s
11
s
11
*
+ s
12
s
12
*
+ s
13
s
13
*
= 1 (8.17a)
s
12
s
12
*
+ s
22
s
22
*
+ s
13
s
13
*
= 1 (8.17b)
s
13
s
13
*
+ s
13
s
13
*
= 1 (8.17c)
Using zero property,
s
13
s
11
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Publisher Resources

ISBN: 9781466591417