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
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;
Conference_Titel :
Electromagnetics in Advanced Applications (ICEAA), 2011 International Conference on
Conference_Location :
Torino
Print_ISBN :
978-1-61284-976-8
DOI :
10.1109/ICEAA.2011.6046520
