• DocumentCode
    264607
  • Title

    Green´s function asymptotic in periodic medium

  • Author

    Starkov, Ivan ; Starkov, Alexander

  • Author_Institution
    SIX Res. Centre, Brno Univ. of Technol., Brno, Czech Republic
  • fYear
    2014
  • fDate
    26-30 May 2014
  • Firstpage
    220
  • Lastpage
    223
  • Abstract
    Green´s function asymptotic properties of the wave field in a periodic medium is analytically examined. The solution is constructed by the stationary phase method. It is shown that some singularities occur in this approach. Therefore, we focus on the description of the vicinity of a singular cone where the usual stationary phase method fails and determine a smooth transition from the standard asymptotic form to the new one. A detailed analysis of the obtained results is given.
  • Keywords
    Green´s function methods; wave propagation; Green´s function asymptotic properties; periodic medium; singular cone; singularities; smooth transition; standard asymptotic form; stationary phase method; wave field; Diffraction; Educational institutions; Equations; Green´s function methods; Mathematical model; Periodic structures; Standards;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Days on Diffraction (DD), 2014
  • Conference_Location
    St. Petersburg
  • Print_ISBN
    978-1-4799-7331-6
  • Type

    conf

  • DOI
    10.1109/DD.2014.7036454
  • Filename
    7036454