FDTD implementation and application of high order impedance boundary condition using rational functions

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)2397-2408
Journal / PublicationIEEE Transactions on Antennas and Propagation
Issue number8
Publication statusPublished - 2009


An algorithm is proposed for the implementation of the high-order surface impedance boundary condition using the finite-difference time-domain method. The surface impedance function of a lossy medium is approximated by a series of rational functions in the Laplace domain, whereas the dyadic differential operator is approximated by a second-order power series. By assuming that the fields are piecewise linear, the time-domain convolution integrals are computed using a recursive formula. The impedance function of a coating layer is approximated by a third-order power series. The algorithm can be applied to scattering problems of a three-dimensional coating for both vertically and horizontally polarized waves. The advantage of the proposed method is that the result can be applied to media of arbitrary conductivities, with a wide range of incident angles from zero to graze. Some numerical examples are given to substantiate the theory. © 2009 IEEE.

Research Area(s)

  • Approximate operator expansion, Coating, Finite-difference time-domain method, Rational function, Scattering, Surface impedance boundary conditions