Title :
An exact calculation of the two-dimensional capacitance of a wire and a new approximation formula
Author :
Ringhandt, A. ; Wagemann, H.G.
Author_Institution :
Inst. fuer Werkstoffe der Electrotechnik, Tech. Univ. Berlin, Germany
fDate :
5/1/1993 12:00:00 AM
Abstract :
Precise knowledge of the capacitance of interconnection lines to the ground plane is very important for the design of microelectronic circuits. The capacitance per unit length of a single line above a ground plane is calculated exactly by solving Laplace´s equation. The solution corresponds to a Fourier series, therefore it has to be calculated numerically for every size of the wire. The calculation results are described by a new approximation formula that improves previous solutions
Keywords :
boundary-value problems; capacitance; metallisation; series (mathematics); wires (electric); Fourier series; Laplace equation; approximation formula; interconnection lines; microelectronic circuit design; two-dimensional capacitance; wire; Boundary conditions; Capacitance; Dielectric constant; Differential equations; Electronic circuits; Integrated circuit interconnections; Laplace equations; Lead; Voltage; Wire;
Journal_Title :
Electron Devices, IEEE Transactions on
