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Rohde & Schwarz R&S ZNA Series - Page 144

Rohde & Schwarz R&S ZNA Series
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Concepts and features
R&S
®
ZNA
144User Manual 1178.6462.02 ─ 29
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.
The basic properties of the Smith chart follow from this construction:
The central horizontal axis corresponds to zero reactance (real impedance). The
center of the diagram represents Z/Z
0
= 1 which is the reference impedance of the
system (zero reflection). At the left and right intersection points between the hori-
zontal axis and the outer circle, the impedance is zero (short) and infinity (open).
The outer circle corresponds to zero resistance (purely imaginary impedance).
Points outside the outer circle indicate an active component.
The upper and lower half of the diagram correspond to positive (inductive) and
negative (capacitive) reactive components of the impedance, respectively.
Screen elements

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