资料介绍
II-3HOII-3. Scattering Matrix
(1) Normalized Voltage Waves-(1)
1-port NW : to/from the Load
V + ( x) = Z 0 a( x) V ( x) = Z 0 b( x)
Normalized Waves
v( x) ≡ V ( x) Z0 V + ( x) Z0 V ( x) Z0
1
x
Incident wave to the Load
i ( x) ≡ Z 0 I ( x) a ( x) ≡ b( x ) ≡
∴ v ( x ) = a ( x ) + b( x )
i ( x) = a ( x ) b( x )
(4) (5)
Ae
jβx
≡ V ( x)
+
Reflected wave from the Load
Be + jβx ≡ V ( x)
Then the voltage and current waves are
V ( x) = V ( x) + V ( x) I ( x) = I ( x) I ( x) V + ( x) V ( x) = Z0 Z0
+ +
and
(1) (2)
a ( x) = b( x) =
b( x ) = Γ ( x) a ( x )
(6)
The normalized incident and reflected v. w.s are
Also, the reflection coefficients are V ( x) Γ( x) = + (3) V ( x)
1 [v( x) + i( x)] = 1 [V ( x) + Z 0 I ( x)] 2 2 Z0
(7) (8)
1 [v( x) i( x)] = 1 [V ( x) Z 0 I ( x)
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