Transcript M-Network.ppt

Microwave Network Analysis
For TEM transmission line, voltage and current can be uniquely
Defined as:

V   E  d

V
, I   H  d , Z0 
I
C
For non - TEM lines, the equivalent voltage and current
are defined by :
Voltage and current are defined for a particular mode,
voltage is proportion al to the transvers e electric field
current is proportion a; to the transvers e magnetic field.
1
Power  VI *
2
V
 Z for a single travellin g wave
I
Et ( x, y, z )  e ( x, y )( A e  jz  A e jz ) 
e ( x, y )   jz
(V e
 V  e jz )
C1
H t ( x, y, z )  h ( x, y )( A e  jz  A e jz ) 
h ( x, y )   jz
(I e
 I  e jz )
C2
zˆ  e ( x, y )
h ( x, y ) 
Zw
V ( z )  (V  e  jz  V  e jz )
I ( z )  I  e  jz  I  e jz
V V
   Z0

I
I
I
I
C 2   
A
A
1 

P  A
2
2
 *
V
I
*
*
ˆ
e

h
.
z
ds

e

h
.zˆds
* 
S
2C1C2 S
C1C2*   e  h * .zˆds
S
V  V  C1
Z0     
 Z w ( ZTE or Z TM )  1
I
I
C2
The general field can be expressed as:
N
en ( x, y )   jz
 jz
Et ( x, y, z )  
(Vn e
 Vn e )
C1n
n 1
N
hn ( x, y )   jz

H t ( x, y , z )  
(I n e
 I n e jz )
C2 n
n 1
The concept of Impedance