Title :
PEEC Formulation Based on Dyadic Green´s Functions for Layered Media in the Time and Frequency Domains
Author :
Kochetov, Sergey V. ; Leone, Marco ; Wollenberg, Guenter
Author_Institution :
Inst. for Fundamental Electr. Eng. & Electromagn. Compatibility, Otto-von-Guericke Univ. Magdeburg, Magdeburg
Abstract :
This paper presents a novel time- and frequency-domain concept of modeling with the partial element equivalent circuit (PEEC) method, which applies the mixed potential integral equation (MPIE) with dyadic Green´s functions for layered media (DGFLM-PEEC). On the one hand, it represents an exact full-wave semianalytical solution for an arbitrary configuration of traces and via holes in multilayered printed circuit boards. On the other hand, the DGFLM-PEEC model is represented in a circuit form, and thus, may be included in general-purpose circuit simulators. The paper derives a general DGFLM-PEEC formulation, which may be applied to all types of the MPIE with dyadic Green´s functions. Using this concept, a particular type of layered media, namely a lossy dielectric between two grounds (stripline region), is thoroughly investigated and used to set up a particular DGFLM-PEEC model. The closed-form expressions for partial inductances and potential coefficients have been derived for this case. The time- and frequency-domain DGFLM-PEEC models for the stripline region have been validated using the measurements and the simulation by the method of moments.
Keywords :
Green´s function methods; circuit simulation; equivalent circuits; frequency-domain analysis; inhomogeneous media; integral equations; printed circuits; time-domain analysis; DGFLM-PEEC model; PEEC formulation; circuit simulators; dyadic Green´s functions; frequency domains; layered media; mixed potential integral equation; multilayered printed circuit boards; partial element equivalent circuit; time domains; Circuit simulation; Closed-form solution; Dielectric losses; Equivalent circuits; Frequency domain analysis; Green´s function methods; Integral equations; Nonhomogeneous media; Printed circuits; Stripline; Dyadic Green´s functions (DGFs); partial element equivalent circuit (PEEC); striplines, time-domain analysis;
Journal_Title :
Electromagnetic Compatibility, IEEE Transactions on
DOI :
10.1109/TEMC.2008.2005837