• DocumentCode
    883555
  • 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
  • Volume
    40
  • Issue
    5
  • fYear
    1993
  • fDate
    5/1/1993 12:00:00 AM
  • Firstpage
    1028
  • Lastpage
    1032
  • 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;
  • fLanguage
    English
  • Journal_Title
    Electron Devices, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9383
  • Type

    jour

  • DOI
    10.1109/16.210217
  • Filename
    210217