Equivalent Circuits of Microstrip Impedance Discontinuities and Launchers

An Impedance Transition Method to Verify the Reference Impedance of Multiline TRL Calibration

“…Generally, this offset is known by the propagation constant γ 1 and the physical length d 1 of the offset. 2) Transition parasitic: the transition between impedances does not occur instantaneously [27]. This non-ideal behavior of the impedance transition is accounted for by one of the three parasitic models presented in Fig.…”

“…The most common transmission line impedance transition models assume constant inductance and capacitance [27]. The models presented in Fig.…”

De-embedding parasitic components from propagation constant calculations

“…1. The simple launcher (transition) circuit consists of a shunt-series C-L elements that have been found to adequately model the impedance discontinuity effects [9,10]. Cd represents the shunt reactance present at a discontinuity while the inductance, L, mimics the discontinuity series reactance.…”

Wideband Conformal Antennas and Arrays

“…(3). Modeling of the probe was completed using a PI network equivalent [18], shown in Figure 10, where the values of the elements were found by comparison with direct HFSS results. Adaptation of this overall TL model for the sectioned substrate designs was completed by simply breaking each of the TL branches into series sections of TL mimicking the sectioning of the substrate.…”