Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation...

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EEE194RF_L10 2 Admittance Transformation (Smith Chart) • impedance representation in Smith Chart 0 Γ ) ( 1 ) ( 1 d d jx r z in Γ - Γ = = • admittance representation in Smith Chart ) ( 1 ) ( 1 ) ( 1 ) ( 1 1 0 d e d e d d z Y Y y j j in in in Γ - Γ Γ Γ - = = = - - p p 180 degree phase shift

Transcript of Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation...

Page 1: Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation leads to ZY-Smith Chart The Smith Chart in its original form is kept for impedance

EEE194RF_L10 2

Admittance Transformation(Smith Chart)

• impedance representation in Smith Chart

)(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

Page 2: Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation leads to ZY-Smith Chart The Smith Chart in its original form is kept for impedance

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Transformation21

21

11 jyjz inin −=→+=

Page 3: Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation leads to ZY-Smith Chart The Smith Chart in its original form is kept for impedance

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.

Page 4: Admittance Transformation (Smith Chart)ekim/e194rfs01/lec10ek.pdfEEE194RF_L10 5 Re-interpretation leads to ZY-Smith Chart The Smith Chart in its original form is kept for impedance

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.