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The Smith chart scaling is designed in such a way that reflection coefficient can be converted to normalised impedance or vice versa. Using the Smith chart, the normalised impedance may be obtained with appreciable accuracy by plotting the point representing the reflection coefficient treating the Smith chart as a polar diagram and then reading ...
Quarter-wave transformers are illustrated in an impedance Smith chart. Looking towards a load through a length l of lossless transmission line, the normalized impedance changes as l increases, following the blue circle. At l=λ/4, the normalized impedance is reflected about the centre of the chart.
If Z/Z 0 is inside the 1+jx circle on the Smith chart (i.e. if Re(Z/Z 0)>1), network (a) can be used; otherwise network (b) can be used. [2] A simple electrical impedance-matching network requires one capacitor and one inductor. In the figure to the right, R 1 > R 2, however, either R 1 or R 2 may be the source and the other the load.
Stubs can match a load impedance to the transmission line characteristic impedance. The stub is positioned a distance from the load. This distance is chosen so that at that point, the resistive part of the load impedance is made equal to the resistive part of the characteristic impedance by impedance transformer action of the length of the main ...
Looking towards a load through a length of lossless transmission line, the impedance changes as increases, following the blue circle on this impedance Smith chart. (This impedance is characterized by its reflection coefficient, which is the reflected voltage divided by the incident voltage.) The blue circle, centred within the chart, is ...
Using the scales on a Smith chart, the resulting impedance (normalized to ) can directly be read. Before the advent of modern electronic computers, the Smith chart was of particular use as a sort of analog computer for this purpose.
The impedance, Z, of the DUT can be calculated from the reflection coefficient by, = + where Z 0 is the characteristic impedance of the line. An alternative method is to plot the VSWR and distance to the node (in wavelengths) on a Smith chart. These quantities are directly measured by the slotted line.
English: Most basic explanation of the Smith chart. A wave travels down a transmission line of impedance Z0, terminated at a load ZL. The voltage reflection coefficient is Gamma. The normalized impedance is z. Each point on the Smith chart represents a value of z (bottom left), and also represents the corresponding value of Gamma (bottom right).