Scattering from artificial plasma cylinder using nonstandard FDTD

Abstract

This paper implements Nonstandard Finite Difference Time Domain (NS-FDTD) method to analyses the scattering effect of electromagnetic wave by an artificial plasma cylinder. This NS-FDTD which requires less iteration time for convergence has proved to be around 10,000 times more accurate than the standard FDTD. For a chosen problem, the ratio between wave length and grid space in NS-FDTD need to be only 8 whereas for the standard algorithm it has to be 1140 for the same qualitative result. In this paper, NS-FDTD algorithm which is already successfully implemented for lossless and low loss medium is extended to high loss medium. An artificial negative permittivity metamaterial medium of cylindrical profile is designed using periodic arrangement of thin conducting wires and NS-FDTD is used to study the scattering properties of the plasma structure. For simplicity, interacting field quantities are realized in terms of propagation equation. Converging points of stability function are carefully selected by choosing appropriate value of conductivity. Plane wave of frequency less than the plasma frequency of the artificial plasma cylinder is used for the study. The result obtained is compared with standard FDTD which proves the obvious advantage of using this novel algorithm.