FDTD-Based Metamaterial (MTM) Modeling and Simulation

Abstract

Metamaterial (MTM) modeling and simulation using the Finite-Difference Time-Domain (FDTD) method is discussed. The frequency dependence of the permittivity and permeability of the metamaterial is modeled using the Lorentz model. All the metamaterial approaches introduced for this purpose (i.e., auxiliary differential equation, ADE, Z-transform, ZT, and piecewise linear recursive convolution, PLRC) are reviewed. Simple MATLAB codes are developed in both one dimension (1D) and two dimensions (2D). Comparisons in terms of memory requirements and computational times among ADE-FDTD, ZT-FDTD, and PLRC-FDTD codes are also given.