E. Pillai et W. Wiesbeck, DERIVATION OF EQUIVALENT-CIRCUITS FOR MULTILAYER PRINTED-CIRCUIT BOARD DISCONTINUITIES USING FULL-WAVE MODELS, IEEE transactions on microwave theory and techniques, 42(9), 1994, pp. 1774-1783
Recent advances in increasing transmission rates for digital communica
tion systems necessitates special attention during printed circuit boa
rd (PCB) design. This contribution provides a methodology for developi
ng appropriate simple equivalent circuits to describe the discontinuit
ies in multilayer boards. The effects of inhomogeneous substrate mater
ial, via holes, crossovers and coupled lines are examined. The incorpo
ration of substrate loss in the difference equation system is addition
ally treated. The equivalent circuits are intended for system simulati
on, where minimal computational overhead is desired. The Finite Differ
ence Frequency Domain (FDFD) and Finite Difference Time Domain (FDTD)
methods provide in conjunction the basis for calculating the scatterin
g parameters [S] and fields of the discontinuities, from which equival
ent circuits are derived. Excellent S parameter agreement between fiel
d computation and equivalent circuit is achieved upto 20 GHz for all s
tructures considered. Measurements are indicated where appropriate.