volume | PIER Journals

Abstract

This paper presents the general numerical dispersion relationship for the three-dimensional (3-D) Radial Point Interpolation (RPIM) method in lossy media. A similar analysis has also been carried out and compared with the traditional Finite-Difference Time-Domain (FDTD) method. Both methods investigate dispersion, numerical loss, and anisotropy versus electric conductivity. The RPIM reveals lower numerical loss errors (NLE) in a wide conductivity range at the considered frequency. Furthermore, the numerical experiments show that a slight increase in the conductivity, for the lossless case, has almost removed the numerical anisotropy dispersion, which improves the numerical resonance frequency precision. Therefore, this effect can be used as an anisotropy optimization technique for lossless media. Based on a close examination of the experimental results around the resonant frequency, the numerical error for the lossless case was divided by ten. As a result, the experimental and theoretical resonance frequencies are found to be in good agreement.

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Dr. Hichem Naamen

Dr. Ajmi Ben Hadj Hamouda

Dr. Taoufik Aguili