Contour-path effective permittivities for the two-dimensional finite-difference time-domain method

Mohammadi, Ahmad; Nadgaran, Hamid; Agio, Mario

doi:10.1364/opex.13.010367

Cited by 52 publications

(44 citation statements)

References 32 publications

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“…The conformal FDTD method on non-orthogonal grids [15][16][17], counter path FDTD method [18,19], and subgridding method [20][21][22] can represent curved interfaces suitably, but they are relatively difficult to implement and increase the memory and computation time. A different approach using effective permittivities (EPs), which derives from interface interpolations based on Ampere's and Faraday's integration laws, can reduce the error of the permittivity model on coarse grids in a simple implementation and at low computational cost [23][24][25][26][27][28][29][30][31][32][33][34][35]. The EP method, however, is not effective for plasmonic materials because the SP resonance condition is changed on interfaces due to interpolated values of EPs.…”

Section: Introductionmentioning

confidence: 99%

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Okada

Cole

2012

Micromachines

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We present a new effective permittivity (EP) model to accurately calculate surface plasmons (SPs) using the finite-difference time-domain (FDTD) method. The computational representation of physical structures with curved interfaces causes inherent errors in FDTD calculations, especially when the numerical grid is coarse. Conventional EP models improve the errors, but they are not effective for SPs because the SP resonance condition determined by the original permittivity is changed by the interpolated EP values. We perform FDTD simulations using the proposed model for an infinitely-long silver cylinder and gold sphere, and the results are compared with Mie theory. Our model gives better accuracy than the conventional staircase and EP models for SPs.

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Section: Introductionmentioning

confidence: 99%

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Okada

Cole

2012

Micromachines

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“…If the collision frequency γ = 0, then (31) reduces to the numerical permittivity for lossless LHMs given in [28]. Previously we have used an FDTD cell size of ∆x = λ/100 in simulations.…”

Section: Effects Of Numerical Materials Parametersmentioning

confidence: 99%

Accurate modelling of left-handed metamaterials using a finite-difference time-domain method with spatial averaging at the boundaries

Zhao¹,

Belov²,

Hao³

2007

J. Opt. A: Pure Appl. Opt.

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Abstract. The accuracy of finite-difference time-domain (FDTD) modelling of left-handed metamaterials (LHMs) is dramatically improved by using an averaging technique along the boundaries of LHM slabs. The material frequency dispersion of LHMs is taken into account using auxiliary differential equation (ADE) based dispersive FDTD methods. The dispersive FDTD method with averaged permittivity along the material boundaries is implemented for a two-dimensional (2-D) transverse electric (TE) case. A mismatch between analytical and numerical material parameters (e.g. permittivity and permeability) introduced by the time discretisation in FDTD is demonstrated. The expression of numerical permittivity is formulated and it is suggested to use corrected permittivity in FDTD simulations in order to model LHM slabs with their desired parameters. The influence of switching time of source on the oscillation of field intensity is analysed. It is shown that there exists an optimum value which leads to fast convergence in simulations.2

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“…However, these techniques were mainly related to the non-dispersive FDTD methods, and applications in dispersive FDTD methods have not attracted sufficient attention. In [31][32][33], a dispersive contour-path FDTD method was proposed. Nevertheless, this method could only deal with a single metal-dielectric interface.…”

Section: Introductionmentioning

confidence: 99%

A Dispersive Conformal FDTD Technique for Accurate Modeling Electromagnetic Scattering of THZ Waves by Inhomogeneous Plasma Cylinder Array

Ai¹,

Tian²,

Cui³

et al. 2013

PIER

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Abstract-A dispersive conformal FDTD method has been proposed to accurately model the interface between two adjacent dispersive mediums and implemented to study the scattering of THz electromagnetic (EM) waves by inhomogeneous collisional plasma cylinder array. The method is based on the technology of area average, which is different from existing dispersive conformal FDTD schemes. Numerical results show that the proposed method enhances the accuracy level compared to the staircasing FDTD scheme involved in the inhomogeneous plasma. It is interesting to find that the THz EM waves can propagate through the plasma array more easily with higher frequencies or larger separations, hence the scattering width in the backward direction becomes smaller, and the forward scattering exhibits a little different. This study will be useful for further designing intelligent plasma antenna arrays in the THz band and terahertz reentry telemetry through plasma.

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Contour-path effective permittivities for the two-dimensional finite-difference time-domain method

Cited by 52 publications

References 32 publications

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Effective Permittivity for FDTD Calculation of Plasmonic Materials

Accurate modelling of left-handed metamaterials using a finite-difference time-domain method with spatial averaging at the boundaries

A Dispersive Conformal FDTD Technique for Accurate Modeling Electromagnetic Scattering of THZ Waves by Inhomogeneous Plasma Cylinder Array

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