Numerically stable algorithms for scattering by impedance cylinders

Sever E., Dikmen F., Tuchkin Y. A., SABAH C.

International Journal of Mechanics, vol.11, pp.64-68, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 11
  • Publication Date: 2017
  • Journal Name: International Journal of Mechanics
  • Journal Indexes: Scopus
  • Page Numbers: pp.64-68
  • Keywords: Analytical regularization, Electromagnetic scattering, Impedance cylinders, Super-algebraic convergence
  • Middle East Technical University Northern Cyprus Campus Affiliated: Yes

Abstract

Electric and Magnetic Field Integral Equations (EFIE&MFIE) on impedance cylinders with smoothly parametrized cross section contours under Transverse Magnetic and Electric (TM&TE) excitations are considered. It is possible to achieve super-algebraic convergence with accurate calculation of the kernels of integral equations. Unless the impedance value is too small or too big, these equations are Fredholm of the second kind and are subject to stable discretization procedures. Otherwise numerical stability requires Analytical Regularization. Numerical results to show evidence for these points are given.