29.13.16 Smith Charts

1 Data Requirements
2 Creating the Graph
- 2.1 Smith Chart Tool Controls
3 Template
4 Notes

Data Requirements

Requires a selection of at least one Y column of values and an associated X column;

By default, the X and Y columns are treated as real part and imaginary part of Zl. (Zl=Real+Imag*j).

If what you have is Mag and Angle(in degree) data for $\Gamma$ and want to plot a Smith chart from them,

Highlight the X and Y columns and plot a Smith Chart
Click the button on graph.
In the opened dialog, click Reinterpret Data as Mag / Angle button

Creating the Graph

Select Plot > Specialized: Smith Chart

click the Smith Chart button on the 2D Graphs toolbar.

To customize the Smith Chart, edit the Plot Details and Axes dialog boxes. Additionally, click the button to open the Smith Chart tool.

Smith Chart Tool Controls

The Normalization Group

Re-normalize the current Smith Chart by entering or selecting a factor, from the Factor combo box. Click Normalize to perform the normalization.

The Current Active Data Set Group

If you have plotted multiple data sets into the Smith Chart, the Convert Data to Mag / Angle and the Reinterpret Data as Mag / Angle buttons act on the active data plot. You can change the active data plot in the Smith Chart from the Data menu or by selecting the data plot icon in the legend. To update the Smith Chart tool with this change, click the Update button on the tool. (Note: R = real part, X = imaginary part)

The Convert Data to Mag / Angle Button

Click this button to convert the active data plot into the Mag / Angle format and put the data in the source worksheet. $\Gamma =\frac{z-1}{z+1}$ = Mag*exp(j*Angle)

The Reinterpret Data as Mag / Angle Button

Click this button to treat the active data plot as the Mag / Angle format, and convert the data into R / X format. The data is then re-plotted.

The Reverse R Axis Button

Click this button to reverse the real part axis of the Smith Chart.

The Constant SWR Circle Group

Given the point position specified, select the circle point density and the line color. Click the Add button to add a constant SWR circle through the given point.

Template

The Smith Chart graph is created from the SMITHCHT.OTP template (installed to the Origin program folder).

Notes

From Origin 2019, Smith chart supports zooming in. Use Scale In button on the Tools toolbar to zoom in a rectangle area.
For complex: Gamma = (z-1)/(z+1), if the real part of z is negative,

for scatter plot, if real or imag part of Gamma is outside of interval [-1,1], that data point will not be shown;
for line plot, the part outside the real and imag of Gamma rectangle （-1 $\leq$ real $\leq$ 1 && -1 $\leq$ imag $\leq$ 1） will be clipped.

To show Mag/Angle for a z data in Data Reader, click More button in the Preferences dialog and choose <M>: Magnitude or <A>: Angle to show them in the Data Reader.