Electronic Applications of the Smith Chart: In Waveguide, Circuit, and Component Analysis

Chapter 4: Losses, and Voltage-Current Representations

4.1 Radial Loss Scales

In Chap. 3 it was shown that entry and exit to the coordinates of the SMITH CHART are conveniently accomplished through the use of appropriately graduated peripheral and radial scales. The peripheral scales (which were described in Chap. 3) relate all angular positions on the chart coordinates, as measured from its center, to corresponding physical positions along a waveguide. These scales include two linear length scales, one progressing clockwise and the other counterclockwise, from zero to one-half wavelength around the chart circumference. A third peripheral scale measures the phase angle of the voltage reflection coefficient in relation to chart coordinates. Each point along each of the three peripheral scales was shown to apply to all chart positions radially in line therewith.

Radial scales on the SMITH CHART (described in Chap. 3) were shown to be related to the magnitude of reflections from the load, or from discrete reflection points along the waveguide. These scales include voltage (and power) reflection coefficient magnitude and voltage (or current) standing wave ratio. A simple relationship between the magnitude of the voltage reflection coefficient and the voltage standing wave ratio was given.

It will now be shown that the effect of both dissipative and nondissipative losses encountered in a waveguide may also be represented on the SMITH CHART by appropriately graduated radial scales. Dissipative losses which will be considered include transmission loss (two-way attenuation) and standing wave loss factor (transmission loss coefficient). Nondissipative losses include reflection loss and

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