Modeling and Parameter Extraction of Coplanar Symmetrical Meander Lines

In this paper, a coplanar symmetrical meander line structure is presented, and an equivalent circuit model is proposed to allow estimation of its electrical characteristics based on numerical modeling. The parasitic couplings in the proposed structure are considerably different from those of a simple meander line with a ground structure below it. Analysis and derivation of inductive and capacitive couplings and of resistance in the effective frequency band are addressed in detail, and the effects of geometrical parameters on the electrical characteristics are also demonstrated. The validity of the proposed equivalent circuit model is verified by both commercial electromagnetic simulator and measurement of the scattering parameters in the frequency domain, as well as of the reflected and transmitted waveforms in the time domain. Because the proposed model is easily coded, and takes little time to compute the parameters, it is very useful in the design of inductance and capacitance in circuits on substrate, which can be used for the design of time-delay elements and stop band filters in power delivery lines.