Modeling of Metamaterial Structures Using an Extended Finite-Difference Time-Domain (FDTD) Approach

Erickson, S.J.; Wong, Judy M.Y.; Kokkinos, T.; Sarris, Costas D.

doi:10.1109/wcacem.2005.1469613

Cited by 1 publication

(1 citation statement)

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“…In Reference [8] a hosting TL loaded with a RLC parallel resonator that produces a negative group delay and a series capacitor together with a shunt inductor that produces a negative effective index of refraction is proposed. This 1D structure was simulated with a FDTD-based approach in Reference [15].…”

Section: Introductionmentioning

confidence: 99%

Composite right/left‐handed extended equivalent circuit (CRLH‐EEC) FDTD: stability and dispersion analysis with examples

Rennings

Otto

Caloz

et al. 2006

Int J Numerical Modelling

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SUMMARYA composite right/left-handed (CRLH) extended equivalent circuit (EEC) FDTD method with a stability criterion based on a Liapunov discrete energy function is presented and applied to investigate several transient and refractive phenomena occurring at the interface between a CRLH metamaterial (MTM) and a purely right-handed (PRH) structure. This formulation consists in an extension of the equivalent circuit (EC) Yee scheme including a left-handed (LH) series capacitance and shunt inductance in addition to the canonical right-handed (RH) series inductance and shunt capacitance, so as to model general CRLH transmission line (TL) MTMs. This CRLH-EEC FDTD scheme is shown to represent a convenient numerical scheme, with remarkable formulation compactness and high computational efficiency, for the analysis of any type of MTM structure. Moreover, this scheme, coupled with a Y-matrix representation of the EEC Yee cell, is shown to rigorously restore the dispersion/attenuation relation of CRLH MTMs. Transient solutions for the propagation of a modulated Gaussian pulse through a PRH-CRLH interface highlights interesting effects such as space-domain compression, infinite phase velocity modulation and the well-known backward wave effect. Frequency-domain analysis of the fields radiated by dipoles through the Veselago-Pendry lens shows how focusing is affected both qualitatively and quantitatively by the orientation of the dipoles.

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Section: Introductionmentioning

confidence: 99%