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

Chapter 2: Waveguide Electrical Parameters

2.1 Fundamental Constants

Two fundamental waveguide constants, the characteristic impedance and the propagation constant, will next be discussed in terms of traveling voltage and current waves, as well as in terms of primary circuit elements. The relationship of these two waveguide constants to the normalized input impedance character istics of a waveguide will be shown. This relationship is the basis for the coordinate arrangement of the SMITH CHART. Following this, the use of the SMITH CHART coordinates in converting from normalized impedances to normalized admittances will be described.

2.2 Primary Circuit Elements

It is well known that the impedance characteristics of any electrical circuit may be completely described in terms of four primary circuit elements: resistance R, inductance L, capacitance C, and conductance G.

Waveguides may be regarded as specific forms of electrical circuits composed, basically, of these four primary circuit elements. If the waveguide is of uniform configuration along its length the primary circuit elements are uniformly distributed and, what is equally if not more important, are always related one to the other as constant ratios, such as the ratio L/G, RIG, etc., per unit length of waveguide. One may develop directly from these primary circuit elements the two previously mentioned fundamental waveguide constants by any one of several methods. The results only will be given here.

To the same extent that four primary circuit elements are required and used for analysis of circuit impedance characteristics, the two fundamental waveguide...

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