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

Jacek Gulgowski , Tomasz P. Stefański

Abstract

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 precision of computations. The proposed derivation is obtained without processing in any symbolic mathematics software and relies on the application of known properties of GHF. The difference between the developed recurrence scheme and the direct FDTD simulation is approximately at the level of numerical noise, which confirms the correctness of our derivation. The results obtained should be useful for the development of computational techniques employing FDTD and the diakoptic approach.
Author Jacek Gulgowski (FMPI / IM)
Jacek Gulgowski,,
- Institute of Mathematics
, Tomasz P. Stefański
Tomasz P. Stefański,,
-
Journal seriesJournal of Electromagnetic Waves and Applications, ISSN 0920-5071, (A 20 pkt)
Issue year2019
Vol33
No5
Pages637-653
Publication size in sheets0.8
Keywords in Englishfinite-difference time-domain methods, Green's function, discrete Green's function, Gauss hypergeometric function
ASJC Classification2208 Electrical and Electronic Engineering; 3100 General Physics and Astronomy; 2504 Electronic, Optical and Magnetic Materials
DOIDOI:10.1080/09205071.2019.1568308
Languageen angielski
Score (nominal)25
ScoreMinisterial score = 20.0, ArticleFromJournal
Ministerial score (2013-2016) = 25.0, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2016 = 0.633; WoS Impact Factor: 2017 = 0.864 (2) - 2017=0.806 (5)
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