Browsing by Subject "Generalized boundary conditions"

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    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, Ayhan
    The 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.
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    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.
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    Validity of generalized boundary conditions and singular integral equation method in the scattering of light by thin dielectric strips
    (IEEE, 2014) Shapoval O. V.; Sukharevsky, Ilya O.; Altıntaş, Ayhan
    We consider the two-dimensional (2D) scattering of a plane wave of light by a thin flat dielectric nanostrip. Empirical method of generalized boundary conditions and singular integral equations on the strip median line is compared with Muller boundary integral equations method that does not assume the strip thickness to be small. The conclusions are achieved about the validity of approximate models for thin dielectric strips.