Abstract
AbstractThe spiral line shows promise for miniaturization of circuits because it has the characteristics of a strip line and has a nonlinear structure. However, analysis of this line is difficult because of nonperiodic coupling between the conductors. This paper proposes a theoretical analysis to determine the distributed parameters for a traveling‐wave mode along the line. Theoretical analysis and experimental investigation are performed for the propagation characteristics of the spiral line. the innovative feature of this method is that the series impedance and the parallel admittance due to the primary constants of the line are expressed as integrals of the current distributions. From these expressions the distributed parameters for the forward wave and the backward wave are given in a series form containing complete elliptic integrals. These distributed parameters comprise the relations between the line structure and the frequency and represent the nonperiodic coupling between conductors. Using this method, we obtain the input admittance of the spiral line with its end open or shorted. Since the results agree well with measured data, validity of the method is confirmed. It is also shown that the frequency characteristic of the distributed parameters express that of the input admittance.
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