• DocumentCode
    1809915
  • Title

    Elements of the spectral theory of double-periodic gratings

  • Author

    Velychko, L. ; Kryvchikova, G.

  • Author_Institution
    Usikov Inst. of Radiophys. & Electron., Kharkov, Ukraine
  • fYear
    2012
  • fDate
    28-30 Aug. 2012
  • Firstpage
    467
  • Lastpage
    470
  • Abstract
    The paper presents results required for constructing the spectral theory of two-dimensionally periodic structures. The analytical representation for the canonical Green function is derived, a natural domain for the spectral parameter (complex-valued frequency) is determined in the form of the infinite-sheeted Riemann surface, statements that allow one to estimate domain of localization for the elements of a spectral set.
  • Keywords
    Green´s function methods; diffraction gratings; periodic structures; 2D periodic structures; canonical Green function; double periodic gratings; infinite sheeted Riemann surface; spectral parameter; spectral theory; Gratings; Green function; Oscillators; Resonant frequency; Scattering;
  • 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.2012.6331188
  • Filename
    6331188