Post on 12-May-2018
EEE194RF_L10 2
Admittance Transformation(Smith Chart)
• impedance representation in Smith Chart
0Γ
)(1)(1
d
djxrzin Γ−
Γ+=+=
• admittance representation in Smith Chart
)(1
)(1
)(1
)(11
0 de
de
d
d
zY
Yy
j
j
in
inin Γ−
Γ+≡
Γ+Γ−
=== −
−
π
π
180 degreephase shift
EEE194RF_L10 3
Transformation21
21
11 jyjz inin −=→+=
EEE194RF_L10 4
Alternative: re-interpretation
Instead of rotating the reflection coefficient about180 degree, we keep the location fixed and rotate theentire Smith Chart by 180 degree.
EEE194RF_L10 5
Re-interpretation leads to ZY-Smith Chart
The Smith Chart inits original form iskept for impedancedisplay,
but a second SmithChart is rotated by180 degree foradmittance display.