• DocumentCode
    1428623
  • Title

    Computing capacitances via the Schwarz-Christoffel transformation in structures with rotational symmetry

  • Author

    Costamagna, Eugenio ; Fanni, Alessandra

  • Author_Institution
    Dipt. di Elettronica, Pavia Univ., Italy
  • Volume
    34
  • Issue
    5
  • fYear
    1998
  • fDate
    9/1/1998 12:00:00 AM
  • Firstpage
    2497
  • Lastpage
    2500
  • Abstract
    The solution of Laplace´s equation problems in cylindrical coordinates via conformal mapping of the axial cross-section for structures exhibiting rotational symmetry is revisited. Numerical algorithms are used to perform Schwarz-Christoffel transformations. Capacitance values are obtained for structures already examined in the literature by means of other methods, and accuracy is discussed. The capacitance of the circular patch resonator is accurately computed
  • Keywords
    Laplace equations; capacitance; electrostatics; Laplace equation problems; Schwarz-Christoffel transformation; axial cross-section; capacitance values; capacitances computation; circular patch resonator; conformal mapping; cylindrical coordinates; numerical algorithms; rotational symmetry; static fields; Availability; Capacitance measurement; Computational geometry; Coordinate measuring machines; Electrostatic measurements; Grid computing; Laplace equations; Magnetic field measurement; Poisson equations; Transforms;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.717575
  • Filename
    717575