A new model of dispersion for metals leading to a more accurate modeling of plasmonic structures using the FDTD method

Vial, Alexandre; Laroche, Thierry; Dridi, Montacer; Cunff, L. Le

doi:10.1007/s00339-010-6224-9

Cited by 100 publications

(58 citation statements)

References 15 publications

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“…Given an experimental set of points describing a permittivity function of a material, a Padé type approximation could be a convenient analytical coefficient-based function to approach experimental data. The fundamental theorem of algebra then allows to expand this approximation as a sum of a constant, a set of first-order generalized poles (FOGP), and a set of second-order generalized poles (SOGP), respectively as: [VLDC11]) and three (see [LC09]) poles, and in the Complex-Conjugate PoleResidue Pairs model (CCPRP) (see [HDF06]). In essence, these techniques allow for complex coefficients in their developments, and can therefore yield a decomposition of the permittivity function in pairs of single-order poles only, whereas choosing real coefficients leads to a collection of first-order and second-order poles.…”

Section: Drude and Lorentz Modelsmentioning

confidence: 99%

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Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics

Lanteri

Scheid²,

Viquerat

2017

SIAM J. Sci. Comput.

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Abstract. In this paper, we are concerned with the numerical modelling of the propagation of electromagnetic waves in dispersive materials for nanophotonics applications. We focus on a generalized model that allows for the description of a wide range of dispersive media. The underlying differential equations are recast into a generic form and we establish an existence and uniqueness result. We then turn to the numerical treatment and propose an appropriate Discontinuous Galerkin Time Domain framework. We obtain the semi-discrete convergence and prove the stability (and in a larger extent, convergence) of a Runge Kutta 4 fully discrete scheme via a technique relying on energy principles. Finally, we validate our approach through two significant nanophotonics test cases.

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Section: Drude and Lorentz Modelsmentioning

confidence: 99%

“…A consequent literature on this topic exists in the context of Finite-Difference Time-Domain (FDTD) (see e.g. [VLDC11] and references therein). More recently, more papers are concerned with Finite Element or even Discontinuous Galerkin Time-Domain approaches (DGTD) (see e.g.…”

mentioning

confidence: 99%

Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics

Lanteri

Scheid²,

Viquerat

2017

SIAM J. Sci. Comput.

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“…There are recent reports on successful application of the critical point model (with a p;1 ≠ 0) for the description of the dielectric function of gold [6,7], silver [7,8], aluminum, and chromium [7] in the wide wavelength range. This model was implemented in FDTD with the help of the recursive convolution (RC) technique [9].…”

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confidence: 99%

Effective optical response of silicon to sunlight in the finite-difference time-domain method

Deinega

John

2011

Opt. Lett.

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The frequency dependent dielectric permittivity of dispersive materials is commonly modeled as a rational polynomial based on multiple Debye, Drude, or Lorentz terms in the finite-difference time-domain (FDTD) method. We identify a simple effective model in which dielectric polarization depends both on the electric field and its first time derivative. This enables nearly exact FDTD simulation of light propagation and absorption in silicon in the spectral range of 300-1000 nm. where ε ∞ is permitivitty at infinite frequency, and a p;j , b p;j are real fitting coefficients that do not necessarily have a physical meaning. There are recent reports on successful application of the critical point model (with a p;1 ≠ 0) for the description of the dielectric function of gold [6,7], silver [7,8], aluminum, and chromium [7] in the wide wavelength range. This model was implemented in FDTD with the help of the recursive convolution (RC) technique [9]. Dispersion profiles of complex materials cannot always be fitted using a small number, P, of terms in (1). Alternately, one can divide the required wavelength range into subranges for separate fittings in each subrange. In this case, multiple FDTD simulations should be performed, followed by merging of the separate results. This makes simulation cumbersome and inefficient.In traditional fitting, each dielectric susceptibility term (2) consists of either a single imaginary pole (Debye model), two complex poles (Lorentz model), or an imaginary pole plus pole at zero (Drude model) in the complex ω-plane. More flexible fitting (some of which is captured in the critical point model [5]

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“…Silver was considered as a material of nano-strip. Table 2 shows parameters for the Drude-Lorentz's permittivity model of silver [12]:…”

Section: Fig 1 Optical Scheme For Nano-stripmentioning

confidence: 99%

Formation of Plasmonic Nanojets by Silver Nano-Strip

Козлова¹,

Samara²

2016

Collection of Selected Papers of the II International Conference on Information Technology and Nanotechnology

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Abstract. In this work the "central" surface plasmon-polariton was obtained by using frequency dependent difference time-domain method for the TMpolarized light at 532 nm, which was propagating through the silver nano-strip, placed on silica glass in an aqueous medium. The height and width of nanostrip was equal to 20 nm and 215 nm respectively. The intensity of surface plasmon-polariton was 4 times higher the intensity of the incident radiation. The full width at half maximum of the nanojet was 138 nm.Keywords: surface plasmon-polariton, nano-strip, (FD) 2 TD-method.Citation: Kozlova ES. Formation of plasmonic nanojets by silver nano-strip.

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A new model of dispersion for metals leading to a more accurate modeling of plasmonic structures using the FDTD method

Cited by 100 publications

References 15 publications

Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics

Analysis of a Generalized Dispersive Model Coupled to a DGTD Method with Application to Nanophotonics

Effective optical response of silicon to sunlight in the finite-difference time-domain method

Formation of Plasmonic Nanojets by Silver Nano-Strip

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