RF · Microwave Series

Smith Chart and Matching

Ten steps from normalization and L/C movement to admittance, line rotation, and single-stub matching.

Why Use a Smith Chart

13 · Smith chart · normalized impedance · reflection coefficient · matching

Why Use a Smith Chart

I used the RFDH Smith-chart notes to revisit mapping complex reflection and impedance on one bounded plane with a hand calculation and my own diagram.

Normalized Impedance

14 · Smith chart · normalized impedance · reflection coefficient · matching

Normalized Impedance

I used the RFDH Smith-chart notes to revisit normalizing by reference impedance and restoring ohms with a hand calculation and my own diagram.

Reading Resistance and Reactance Circles

15 · Smith chart · normalized impedance · reflection coefficient · matching

Reading Resistance and Reactance Circles

I used the RFDH Smith-chart notes to revisit reading intersections of constant-resistance circles and reactance arcs with a hand calculation and my own diagram.

Load and Reflection Coefficient

16 · Smith chart · normalized impedance · reflection coefficient · matching

Load and Reflection Coefficient

I used the RFDH Smith-chart notes to revisit reading |Γ| and phase from distance and angle with a hand calculation and my own diagram.

Series L and C Movement

17 · Smith chart · normalized impedance · reflection coefficient · matching

Series L and C Movement

I used the RFDH Smith-chart notes to revisit how series reactance moves along a constant-resistance circle with a hand calculation and my own diagram.

Shunt L and C in Admittance

18 · Smith chart · normalized impedance · reflection coefficient · matching

Shunt L and C in Admittance

I used the RFDH Smith-chart notes to revisit adding parallel elements as susceptance on the admittance chart with a hand calculation and my own diagram.

Switching Between Impedance and Admittance

19 · Smith chart · normalized impedance · reflection coefficient · matching

Switching Between Impedance and Admittance

I used the RFDH Smith-chart notes to revisit using a 180-degree rotation to switch between z and y with a hand calculation and my own diagram.

Transmission-Line Rotation

20 · Smith chart · normalized impedance · reflection coefficient · matching

Transmission-Line Rotation

I used the RFDH Smith-chart notes to revisit how line length rotates phase on a constant-|Γ| circle with a hand calculation and my own diagram.

Two Single-Stub Matching Solutions

21 · Smith chart · normalized impedance · reflection coefficient · matching

Two Single-Stub Matching Solutions

I used the RFDH Smith-chart notes to revisit finding a g=1 point and cancelling susceptance with a stub with a hand calculation and my own diagram.

Re-reading Cadence L-Matching and Stub Screens

22 · Smith chart · normalized impedance · reflection coefficient · matching

Re-reading Cadence L-Matching and Stub Screens

I used the RFDH Smith-chart notes to revisit re-reading my stored Smith trajectory by design frequency and component order with a hand calculation and my own diagram.

Back to the complete RF map

Publication first-page preview