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Windowing of the Discrete Green's Function for Accurate FDTD Computations

Abstract

The paper presents systematic evaluation of the applicability of parametric and nonparametric window functions for truncation of the discrete Green's function (DGF). This function is directly derived from the FDTD update equations, thus the FDTD method and its integral discrete formulation can be perfectly coupled using DGF. Unfortunately, the DGF computations require processor time, hence DGF has to be truncated with appropriate window function. The presented results extend previously published report which evaluates the accuracy of the DGF truncation for the most frequently applied window functions, i.e., Hann, Hamming, Gaussian and exponential windows. In this contribution, the accuracy of the DGF windowing is demonstrated for other window functions useful in the digital signal processing, i.e., Barlett, Blackman, Bohman, Flat top and Kaiser windows. The study concludes that abrupt truncation of DGF waveforms results in an increase in the error of the electromagnetic field computations in comparison to the solution obtained for the DGF waveform truncated using a suitable window function. Truncation errors were compared for a wide range of window functions demonstrating the best performance for the Hann window.

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Category:
Conference activity
Type:
materiały konferencyjne indeksowane w Web of Science
Title of issue:
PIERS 2013 Stockholm: Progress in Electromagnetics Research Symposium strony 155 - 159
ISSN:
1559-9450
Language:
English
Publication year:
2013
Bibliographic description:
Stefański T..: Windowing of the Discrete Green's Function for Accurate FDTD Computations, W: PIERS 2013 Stockholm: Progress in Electromagnetics Research Symposium, 2013, The Electromagnetics Academy,.
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Gdańsk University of Technology

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