• DocumentCode
    2007697
  • Title

    A matrix electrodynamics: A similarity to the Heisenberg’s mechanics?

  • Author

    Gritsunov, Alexander ; Veryovkina, Anna

  • Author_Institution
    Dept. of Electron. Eng., Kharkiv Nat. Univ. of Radio Electron., Kharkov
  • fYear
    2008
  • fDate
    22-24 April 2008
  • Firstpage
    356
  • Lastpage
    357
  • Abstract
    A matrix approach to solving the electrodynamic problems is described. This specificity consists in the treatment of an electrodynamic system (ES) as an oscillating system with a finite number of the degrees of freedom. The ES is considered as a set of spatially localized partial oscillators (oscillets). Matrices of unit mutual pseudoenergies and unit mutual energies of the oscillators are evaluated. The ES eigenvalues, eigenfunctions and excited potentials can be calculated then basing on the lumped element circuit matrix theory. The main advantage of such approach is substitution of the partial derivative differential equations with the linear algebra problems and the ordinary differential equations.
  • Keywords
    differential algebraic equations; electrodynamics; linear algebra; lumped parameter networks; electrodynamic problems; linear algebra problems; lumped element circuit matrix theory; matrix electrodynamics; ordinary differential equations; partial derivative differential equations; spatially localized partial oscillators; Circuit simulation; Computational modeling; Differential equations; Eigenvalues and eigenfunctions; Electrodynamics; Electromagnetic devices; Linear algebra; Local oscillators; Matrices; Time domain analysis; eigenvalue problem; electrodynamic system; electromagnetic potential; linear algebra; lumped element circuit;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Vacuum Electronics Conference, 2008. IVEC 2008. IEEE International
  • Conference_Location
    Monterey, CA
  • Print_ISBN
    978-1-4244-1715-5
  • Type

    conf

  • DOI
    10.1109/IVELEC.2008.4556530
  • Filename
    4556530