• DocumentCode
    1809937
  • Title

    Homogenization of spectral problem on periodic networks and lattices

  • Author

    Krylova, A.S. ; Sandrakov, G.V.

  • Author_Institution
    Comput. Math. Dept., Taras Shevchenko Nat. Univ. of Kiev, Kiev, Ukraine
  • fYear
    2012
  • fDate
    28-30 Aug. 2012
  • Firstpage
    471
  • Lastpage
    472
  • Abstract
    In this paper the homogenization of a spectral problem on small-periodic networks and lattices with periodic boundary conditions is considered. Asymptotic expansions for eigenfunctions and corresponding eigenvalues on a network and lattices are constructed. The theorem is proved that is the justification of asymptotic expansions for some eigenvalues and eigenfunctions of problem on the network.
  • Keywords
    eigenvalues and eigenfunctions; optical lattices; asymptotic expansions; eigenfunctions; homogenization; lattices; periodic boundary conditions; periodic networks; spectral problem; Boundary conditions; Eigenvalues and eigenfunctions; Electromagnetics; Equations; Lattices; Oscillators;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mathematical Methods in Electromagnetic Theory (MMET), 2012 International Conference on
  • Conference_Location
    Kyiv
  • ISSN
    2161-1734
  • Print_ISBN
    978-1-4673-4478-4
  • Type

    conf

  • DOI
    10.1109/MMET.2012.6331189
  • Filename
    6331189
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1809937