Browsing by Author "Shapoval, O. V."
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Item Open Access Test of accuracy of the generalized boundary conditions in the scattering by thin dielectric strips(IEEE, 2014-05) Nosich, A. I.; Shapoval, O. V.; Sukharevsky, Ilya O.; Altıntaş, AyhanThe two-dimensional (2D) scattering of the E and H-polarized plane electromagnetic waves by a free-standing thinner than the wavelength dielectric strip is considered numerically. Two methods are compared: singular integral equations (SIE) on the strip median line obtained from the generalized boundary conditions for a thin dielectric layer and Muller boundary integral equations (BIE) for arbitrarily thick strip. The comparison shows the domain of acceptable accuracy of approximate model derived for thin dielectric strips. © 2014 IEEE.Item Open Access Validity and limitations of the median-line integral equation technique in the scattering by material strips of sub-wavellength thickness(Institute of Electrical and Electronics Engineers, 2014-07) Sukharevsky, Ilya O.; Shapoval, O. V.; Altıntaş, Ayhan; Nosich, A. I.Considered is the 2-D scattering of a plane wave by a thin flat material strip. The data obtained by using the empirical method of generalized boundary conditions and singular integral equations on the strip median line are compared with the results of solving the Muller boundary integral equation that takes full account of strip thickness. Discretization of integral equations in both cases is performed using the Nystrom methods that lead to convergent algorithms. Numerical results cover E and H polarizations and two types of thin strips: conventional dielectric and metal in the optical range. The validity and limitations of approximate model are established and discussed.Item Open Access Wave scattering by one and many thin material strips: singular integral equations, Meshless Nystrom discretization, and periodicity caused resonances(IEEE, 2014) Shapoval, O. V.; Sukharevsky, Ilya. O.; Altıntaş, Ayhan; Sauleau, R.; Nosich, A. I.We consider the medial-line singular-integral equation technique for the analysis of the scattering by multiple thin material strips. Their discretization is performed using the Nystrom-type scheme that guarantees convergence. Numerical study of the scattering by periodic arrays of a few hundred or more strips reveals specific high-Q resonances caused by the periodicity.