• DocumentCode
    1841785
  • Title

    Efficient calculation of Fourier coefficients of green´s function on smooth contours

  • Author

    Tuchkin, Yu.A. ; Suvorova, O.A.

  • Author_Institution
    Dept. of Theor. Radiophys., Nat. Acad. of Sci. of The Ukraine, Kharkov, Ukraine
  • fYear
    2011
  • fDate
    12-16 Sept. 2011
  • Firstpage
    1189
  • Lastpage
    1192
  • Abstract
    As we found out, Analytical Regularization Method for 2D diffraction and relevant spectral problems modeling can be performed for infinitely smooth boundary contour of a 2D obstacle as super-algebraically (faster any algebraic) converging one in respect to the size of corresponding algebraic system, when the size tends to infinity. Herein we discuss also various algorithms for construction of infinitely smooth approximation (with any predetermined accuracy) to given finitely smooth contour.
  • Keywords
    Fourier series; Green´s function methods; approximation theory; diffraction gratings; surface topography; 2D diffraction; 2D obstacle; Fourier coefficients; Green´s function; analytical regularization method; infinitely smooth approximation; infinitely smooth boundary contour; relevant spectral problems; smooth contours; Approximation methods; Diffraction; Fourier series; Junctions; Kernel; Oscillators; Transforms;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electromagnetics in Advanced Applications (ICEAA), 2011 International Conference on
  • Conference_Location
    Torino
  • Print_ISBN
    978-1-61284-976-8
  • Type

    conf

  • DOI
    10.1109/ICEAA.2011.6046520
  • Filename
    6046520