• DocumentCode
    1428916
  • Title

    Calculation of Electromagnetic Fields in Three Dimensions Using the Cauchy Integral

  • Author

    Seagar, Andrew

  • Author_Institution
    Sch. of Eng., Griffith Univ., Gold Coast, QLD, Australia
  • Volume
    48
  • Issue
    2
  • fYear
    2012
  • Firstpage
    175
  • Lastpage
    178
  • Abstract
    This paper describes a method for calculating the 3-D monochromatic electromagnetic fields scattered by conducting and dielectric objects using the Cauchy integral cast in a multidimensional form based on Clifford algebra. Formal relationships to methods based on quaternions and vector calculus are presented. The characteristics of solutions based on the Cauchy method are described and its advantages over comparable methods involving Greens functions are discussed.
  • Keywords
    Green´s function methods; boundary-value problems; computational electromagnetics; electromagnetic fields; vectors; 3-D monochromatic electromagnetic fields; Cauchy integral; Clifford algebra; Greens functions; boundary value problems; quaternions; vector calculus; Equations; Geometry; Integral equations; Quaternions; Vectors; Boundary value problems; Cauchy integral; Clifford algebra; electromagnetic fields; integral equations;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/TMAG.2011.2173300
  • Filename
    6136752