Accurate frequency-dependent formula for series line impedance of microstrip on lossy silicon substrate

Author

Ymeri, Hasan ; Nauwelaers, Bart ; Maex, Karen ; De Roest, D.

Author_Institution

Dept. of Electr. Eng., Katholieke Univ., Leuven, Belgium

fYear

2001

fDate

2001

Firstpage

307

Lastpage

312

Abstract

Presents a new analytical model for frequency-dependent series line impedance of microstrip on lossy silicon substrate. The presence of lossy silicon substrate is included in the coupling equations for the magnetic vector potential by means of two basic concepts: the longitudinal current density distribution in silicon and frequency-dependent magnetic flux penetration into the silicon substrate, which is called substrate skin effect. The closed-form expression for series impedance per unit length has been derived, based on a self-consistent field method to determine the current distribution in the structure. It is shown that the calculated frequency-dependent distributed inductance and the associated resistance are in good agreement with the results obtained from rigorous full wave solutions and closed-form solution using image plane concept

Keywords

MMIC; VLSI; current distribution; inductance; integrated circuit design; integrated circuit interconnections; integrated circuit modelling; microstrip lines; skin effect; IC interconnect structure; MMIC; Si; VLSI; closed-form expression; coupling equations; distributed inductance; frequency-dependent magnetic flux penetration; longitudinal current density distribution; lossy substrate; magnetic vector potential; microstrip line; self-consistent field method; series line impedance; substrate skin effect; Analytical models; Closed-form solution; Couplings; Current density; Equations; Frequency; Impedance; Magnetic flux; Microstrip; Silicon;

fLanguage

English

Publisher

ieee

Conference_Titel

Electron Devices for Microwave and Optoelectronic Applications, 2001 International Symposium on

Conference_Location

Vienna

Print_ISBN

0-7803-7049-X

Type

conf

DOI

10.1109/EDMO.2001.974325

Filename

974325