• DocumentCode
    1761953
  • Title

    The Evolution of Maxwell´s Equations from 1862 to the Present Day

  • Author

    Arthur, J.W.

  • Author_Institution
    Sch. of Eng., Univ. of Edinburgh, Edinburgh, UK
  • Volume
    55
  • Issue
    3
  • fYear
    2013
  • fDate
    41426
  • Firstpage
    61
  • Lastpage
    81
  • Abstract
    Maxwell´s equations have undergone several changes of form in the 150 years since they first emerged. This has been due not only to changes in their mathematical expression and physical interpretation, but also to historical accidents and trends. This article examines: what they were in the beginning; how they evolved into their customary form over the course of 40 years; the significant variations there have been since then; who have been the major proponents of these changes; and finally, what they did, or did not, contribute. Brief explanations of the main mathematical variations are included.
  • Keywords
    Maxwell equations; history; Maxwell equations; historical accident; mathematical expression; mathematical variation; physical interpretation; Difference equations; Diffraction; Electromagnetics; Engineering education; History; Maxwell equations; Quaternions; Differential forms; Gibbs; Heaviside; Hertz; Lorentz; Maxwell; Maxwell equations; electrodynamics; electromagnetic engineering education; geometric algebra; history; quaternions;
  • fLanguage
    English
  • Journal_Title
    Antennas and Propagation Magazine, IEEE
  • Publisher
    ieee
  • ISSN
    1045-9243
  • Type

    jour

  • DOI
    10.1109/MAP.2013.6586627
  • Filename
    6586627