• DocumentCode
    995696
  • Title

    Using the concept of linkage of closed loops to determine topological invariants of a cutting graph

  • Author

    Harrold, C.S.

  • Author_Institution
    Rutherford Appleton Lab., Chilton, UK
  • Volume
    24
  • Issue
    1
  • fYear
    1988
  • fDate
    1/1/1988 12:00:00 AM
  • Firstpage
    401
  • Lastpage
    403
  • Abstract
    The calculation of time varying electromagnetic fields requires that the topological connectivity of conducting material be known in order to ensure that a magnetic scalar potential is well defined. The intersection of cutting surfaces with a multiply connected conducting region forms looplike components of a cutting graph. It is shown that it is possible to distinguish these components by determining a measure for the linkage of loops in the space surrounding the conductor
  • Keywords
    electromagnetic fields; graph theory; closed loops linkage; conducting material; cutting graph; magnetic scalar potential; multiply connected conducting region; time varying EM fields; topological connectivity; topological invariants; Conducting materials; Conductors; Couplings; Electromagnetic fields; Equations; Gaussian processes; Laboratories; Potential well;
  • fLanguage
    English
  • Journal_Title
    Magnetics, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9464
  • Type

    jour

  • DOI
    10.1109/20.43941
  • Filename
    43941