A Study on Unconditionally Stable FDTD Methods for the Modeling of Metamaterials

Abstract

Abstract-We assess the performance of three unconditionally stable finite-difference time-domain (FDTD) methods for the modeling of doubly dispersive metamaterials: 1) locally one-dimensional FDTD; 2) locally one-dimensional FDTD with Strang splitting; and (3) alternating direction implicit FDTD. We use both double-negative media and zero-index media as benchmarks.

Two-Stage Perfectly Matched Layer for the Analysis of Plasmonic Structures

“…[20], finite-difference frequency-domain (FDFD) [21], and finite-element methods (FEM) [22]. More generally, the two-stage PML is suited for the analysis of subwavelength structures (not necessarily plasmonic) requiring highly refined meshes [23]. rea (NRF) funded by the Ministry of Education, Science and Technology (No.…”

Accurate FDTD modelling for dispersive media using rational function and particle swarm optimisation

“…The finite-difference time domain (FDTD) method (Taflove & Hagness, 2005;Ye, Tang, & Li, 2009) has been a powerful technique to simulate wave propagation in dispersive media such as magnetic media (Jung, Donderici, & Teixeira, 2006;Jung, Ju, & Teixeira, 2011;Singh, Tan, & Chen, 2011), metal nanostructures (Hosseini, Nejati, & Massoud, 2008;Jung, Teixeira, & Reano, 2007), and metamaterials (Nascimento, Jung, Borges, & Teixeira, 2009;Zhao, Belov, & Hao, 2007) because of its accuracy, robustness, and matrix-free calculations. For many types of dispersive media, several modelling methods have been proposed, such as Debye, Lorentz, and Drude models (Taflove & Hagness, 2005;Teixeira, 2008).…”