• DocumentCode
    1705131
  • Title

    Choosing the right geometry for electrodynamics

  • Author

    Schadt, Frank

  • Author_Institution
    Laser Metrol. Dept., Pforzheim UAS, Pforzheim, Germany
  • fYear
    2010
  • Firstpage
    393
  • Lastpage
    396
  • Abstract
    This paper discusses how modern Differential Geometry can be applied in engineering electrodynamics. At first, it shows some drawbacks of Gibbsian Vector Calculus, then introduces the more classical index based form of Rie-mannian Geometry. Finally, it is shown how modern Differential Geometry, especially the calculus Differential Forms, help generalize and simplify Vector Analysis and thus elctromagnetic field theory.
  • Keywords
    differential geometry; electrodynamics; electromagnetic field theory; Gibbsian vector calculus; Riemannian geometry; classical index; differential forms; differential geometry; eletromagnetic field theory; engineering electrodynamics; vector analysis; Calculus; Geometry; Indexes; Maxwell equations; Tensile stress; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Technologies in Electrical and Electronics Engineering (SIBIRCON), 2010 IEEE Region 8 International Conference on
  • Conference_Location
    Listvyanka
  • Print_ISBN
    978-1-4244-7625-1
  • Type

    conf

  • DOI
    10.1109/SIBIRCON.2010.5555110
  • Filename
    5555110