Scattering and propagation of the TE/TM waves on pre-fractal impedance grating in numerical results

Author

Nesvit, K.

Author_Institution

Dept. of Math. Phys. & Comput. Math., Karazin Kharkiv Nat. Univ., Kharkiv, Ukraine

fYear

2014

fDate

6-11 April 2014

Firstpage

2773

Lastpage

2777

Abstract

A transverse electric (TE) and magnetic (TM) wave diffraction problems on pre-fractal impedance strips are considered in this paper. This type of problems leads to boundary integral equations (IEs) with logarithmic singularities. A discrete mathematical model of the boundary IEs has been developed with the help of special quadrature formulas with the nodes in the nulls of Chebyshev polynomials. This research is completely aimed at performing numerical experiments with the help of an efficient discrete singularities method (DSM).

Keywords

Chebyshev approximation; boundary integral equations; electromagnetic wave propagation; electromagnetic wave scattering; fractals; Chebyshev polynomials; DSM; IE; TE wave scattering; TM wave scattering; boundary integral equations; discrete mathematical model; discrete singularities method; magnetic wave diffraction problems; numerical results; prefractal impedance grating; special quadrature formulas; transverse electric diffraction problems; Antennas; Diffraction; Diffraction gratings; Equations; Impedance; Mathematical model; Strips; boundary integral equations; fractal grating; numerical experiments;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation (EuCAP), 2014 8th European Conference on

Conference_Location

The Hague

Type

conf

DOI

10.1109/EuCAP.2014.6902400

Filename

6902400