Diffraction problem of scattering and propagation TM wave on pre-fractal impedance strips above shielded dielectric layer

  • Authors

    • Kateryna Vitaliivna Nesvit Karazin Kharkiv National University
    2013-12-18
    https://doi.org/10.14419/ijamr.v3i1.1444

  • Abstract

    In this paper a discrete mathematical model of the diffraction of a plane electromagnetic wave by pre-Cantor impedance strips on a shielded dielectric layer is developed. The TM wave case is considered. The mathematical model is based on the boundary singular integral equation (SIE) of the first kind with supplementary conditions and the Volterra integral equation (IE) of the second kind. Numerical experiments may be carried out based on this discrete mathematical model using the discrete singularities method (DSM).

  • References

    1. Yu. V. Gandel, V. D. Dushkin, Mathematical models of two-dimensional diffraction problems: Singular integral equations and numerical discrete singularities method (in Russian), Monograph, Kharkov: Academy of Internal Defence of the MIA of Ukraine, (2012).
    2. Yu. V. Gandel, V. L. Sidelnikov, Method of integral equations in third boundary-value diffraction problem on boundary grating above a °at screen reflector (in Russian). Differential equations. Vol. 35, No. 9, (1999), pp. 1155-1161.
    3. K. V. Nesvit, Discrete mathematical model of diffraction on periodic pre-Cantor gratings with shield and numerical experiment. Bulletin of Karazin Kharkiv National University 1037 Series "Mathematical modeling. Information Technology. Automated Control Systems, Issue 20, (2012), pp. 146-157.
    4. Yu. V. Gandel, Introduction to methods of evaluation of singular and hypersingular integrals (in Russian). Textbook, Kharkov, Ukraine, (2002).
    5. I. K. Lifanov, The method of singular integral equations and numerical experiment (in Russian), TOO "Janus", Moscow, Russia, (1995).
    6. B. B. Mandelbrot, The Fractal Geometry of Nature, W. H. Freeman and Company, New York, (1983).

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  • How to Cite

    Nesvit, K. V. (2013). Diffraction problem of scattering and propagation TM wave on pre-fractal impedance strips above shielded dielectric layer. International Journal of Applied Mathematical Research, 3(1), 7-14. https://doi.org/10.14419/ijamr.v3i1.1444

    Received date: 2013-10-23

    Accepted date: 2013-11-24

    Published date: 2013-12-18