Search results for: FINITE-DIFFERENCE TIME-DOMAIN METHODS, GREEN'S FUNCTION, DISCRETE GREEN'S FUNCTION, GAUSS HYPERGEOMETRIC FUNCTION - Bridge of Knowledge

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Search results for: FINITE-DIFFERENCE TIME-DOMAIN METHODS, GREEN'S FUNCTION, DISCRETE GREEN'S FUNCTION, GAUSS HYPERGEOMETRIC FUNCTION

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Search results for: FINITE-DIFFERENCE TIME-DOMAIN METHODS, GREEN'S FUNCTION, DISCRETE GREEN'S FUNCTION, GAUSS HYPERGEOMETRIC FUNCTION

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Search results for: FINITE-DIFFERENCE TIME-DOMAIN METHODS, GREEN'S FUNCTION, DISCRETE GREEN'S FUNCTION, GAUSS HYPERGEOMETRIC FUNCTION

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Search results for: FINITE-DIFFERENCE TIME-DOMAIN METHODS, GREEN'S FUNCTION, DISCRETE GREEN'S FUNCTION, GAUSS HYPERGEOMETRIC FUNCTION

  • Applications of the discrete green's function in the finite-difference time-domain method

    In this paper, applications of the discrete Green's function (DGF) in the three-dimensional (3-D) finite-difference time-domain (FDTD) method are presented. The FDTD method on disjoint domains was developed employing DGF to couple the subdomains as well as to compute the electromagnetic field outside these subdomains. Hence, source and scatterer are simulated in separate subdomains and updating of vacuum cells, being of little...

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  • Recurrence scheme for FDTD-compatible discrete Green's function derived based on properties of Gauss hypergeometric function

    Publication

    In this paper, the formulation of one-dimensional FDTD (Finite-difference time-domain)-compatible discrete Green's function (DGF) is derived based on the Gauss hypergeometric function (GHF). The properties of GHF make it possible to derive the recurrence scheme only in the time domain for the DGF generation. Furthermore, this recurrence scheme is valid for any stable time-step size and can be implemented using standard numerical...

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  • FDTD-Compatible Green's function based on scalar discrete Green's function and multidimensional Z-transform

    Publication

    - Year 2015

    In this contribution, a new formulation of the discrete Green's function (DGF) is presented for the finitedifference time-domain (FDTD) grid. Recently, dyadic DGF has been derived from the impulse response of the discretized scalar wave equation (i.e., scalar DGF) with the use of the multidimensional Z-transform. Its software implementation is straightforward because only elementary functions are involved and a single function...

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  • Acceleration of the discrete Green's function computations

    Publication

    - Year 2012

    Results of the acceleration of the 3-D discrete Green's function (DGF) computations on the multicore processor are presented. The code was developed in the multiple precision arithmetic with use of the OpenMP parallel programming interface. As a result, the speedup factor of three orders of magnitude compared to the previous implementation was obtained thus applicability of the DGF in FDTD simulations was significantly improved.

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  • Accuracy of the discrete Green's function computations

    Publication

    - Year 2012

    This paper discusses the accuracy of the discrete Green's function (DGF) computations. Recently closed-form expression of the DGF and its efficient numerical implementation were presented which facilitate the DGF applications in FDTD simulations of radiation and scattering problems. By carefully comparing the DGF results to those of the FDTD simulation, one can make conclusions about the range of the applicability of the DGF for...