Radiation parameter extraction for transmission‐line interconnects by using method‐of‐moments solutions

A novel differential equation model for a microstrip low‐pass filter

“…Firstly, the conventional equation fails to indicate the radiation characteristics from the discontinuities of the line itself, which has been observed in practice for a long time [7][8][9]. This becomes important, especially for interconnects of the high-speed transmission lines.…”

Generalized non‐uniform transmission‐line models for local radiation from microstrip bends in MMICs

“…Before Equations (5) are used to solve a practical problem, the equation coefficients of the non-uniform transmission-line parameters in (5) have to be determined for a given structure under a given frequency. For the traditional transmission-line equations, the exact extraction of per-unit-length parameters has to be done only under the matching conditions for both excitation port and load port so that the assumption of an infinite-length line can be simulated [11]. Obviously, finding perfect matching conditions is not easy at certain circumstances.…”

“…However, this kind of lumped equivalent circuits could only be used for a lower frequency range. In order to simplify the analysis, to model the higher frequency range, and to show the local radiations along the bends, the generalized non-uniform transmission-line equations [10,11] are used in this paper for the first time. A major difference from the traditional non-uniform transmission-line equations is that the generalized transmission-line equations have two special items, the dependent voltage aV and the dependent current source bI: These two terms express the local radiation effects (near field emitting and absorbing).…”

2D generalized transmission‐line equations for a microstrip cross

“…(7) and (8) [10], into Eqs. (7)(8), parameters L, C, ␣, and ␤ of the per-unit-length can be found. Thus, the differential Eqs.…”