R&S ZNB - Smith

Concepts and Features
R&S
®
ZNB/ZNBT
109User Manual 1173.9163.02 ─ 55
Examples for definite magnitudes and phase angles:
●
The magnitude of the reflection coefficient of an open circuit (Z = infinity, I = 0) is
one, its phase is zero.
●
The magnitude of the reflection coefficient of a short circuit (Z = 0, U = 0) is one, its
phase is –180 deg.
Smith
For "Smith" traces the response values are interpreted as reflection coefficients S
ii
and
represented in terms of their corresponding complex impedance Z(S
ii
) = R(S
ii
) + j X(S
ii
).
In a diagram, the grid lines overlaid to a "Smith" trace correspond to points of equal
resistance R and reactance X:
●
Points with the same resistance are located on circles.
●
Points with the same reactance produce arcs.
The following example shows a Smith chart with a marker used to display the stimulus
value, the complex impedance Z = R + j X and the equivalent inductance L.
Smith chart construction
In a Smith chart, the impedance plane is reshaped so that the area with positive resist-
ance is mapped into a unit circle.
Screen Elements