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Interpolation techniques to improve the accuracy of the plane wave excitations in the finite difference time domain method
Author(s) -
Oğuz Uğur,
Gürel Levent
Publication year - 1997
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/97rs02515
Subject(s) - finite difference time domain method , interpolation (computer graphics) , plane wave , plane (geometry) , grid , phase velocity , wave propagation , finite difference method , mathematics , mathematical analysis , physics , optics , geometry , classical mechanics , motion (physics)
The importance of matching the phase velocity of the incident plane wave to the numerical phase velocity imposed by the numerical dispersion of the three‐dimensional (3‐D) finite difference time domain (FDTD) grid is demonstrated. In separate‐field formulation of the FDTD method, a plane wave may be introduced to the 3‐D computational domain either by evaluating closed‐form incident‐field expressions or by interpolating from a 1‐D incident‐field array (IFA), which is a 1‐D FDTD grid simulating the propagation of the plane wave. The relative accuracies and efficiencies of these two excitation schemes are compared, and it has been shown that higher‐order interpolation techniques can be used to improve the accuracy of the IFA scheme, which is already quite efficient.