A Frequency-Dependent LOD-FDTD Method and Its Application to the Analyses of Plasmonic Waveguide Devices

Shibayama, Jun; Nomura, Akira; Ando, Ryoji; Yamauchi, Junji; Nakano, Hisamatsu

doi:10.1109/jqe.2009.2024328

Cited by 55 publications

(31 citation statements)

References 40 publications

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“…Considering more recently reported works [21] on recursive convolution methods, adapting them to the method presented in this paper, might result in more improvements.…”

Section: Resultsmentioning

confidence: 99%

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Gpu Implementation of Split-Field Finite-Difference Time-Domain Method for Drude-Lorentz Dispersive Media

Shahmansouri¹,

Rashidian²

2012

PIER

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Abstract-Split-field finite-difference time-domain (SF-FDTD) method can overcome the limitation of ordinary FDTD in analyzing periodic structures under oblique incidence. On the other hand, huge run times of 3D SF-FDTD, is practically a major burden in its usage for analysis and design of nanostructures, particularly when having dispersive media. Here, details of parallel implementation of 3D SF-FDTD method for dispersive media, combined with totalfield/scattered-field (TF/SF) method for injecting oblique plane wave, are discussed. Graphics processing unit (GPU) has been used for this purpose, and very large speed up factors have been achieved. Also a previously reported formulation of SF-FDTD based on the Drude model for dispersive media, is extended to cover Drude-Lorentz model, which is usually needed for materials such as gold. The resulting reduction in the number of variables in this formulation, not only helps in reducing the computational time, but also makes it possible to be implemented in GPU, where its memory limitation is a major concern. As an example for demonstrating the importance of this method in optimization of nanophotonics structures, improvement in the performance of a refractive index sensor, made of an array of nanodisks, using suitable angle of incidence is reported. To the best of our knowledge this is the first report of GPU implementation of SF-FDTD method, capable of analyzing periodic dispersive media under oblique incidence.

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“…Considering more recently reported works [21] on recursive convolution methods, adapting them to the method presented in this paper, might result in more improvements.…”

Section: Resultsmentioning

confidence: 99%

“…Some methods have been reported for ordinary FDTD based on implicit FDTD to overcome the Courant stability restraint on the time step of fully explicit FDTD. ADI-FDTD [13][14][15][16], and LOD-FDTD [17][18][19][20][21] have been developed for this purpose. In this way, up to 5 times reduction in computation times have been reported [21].…”

Section: Introductionmentioning

confidence: 99%

Gpu Implementation of Split-Field Finite-Difference Time-Domain Method for Drude-Lorentz Dispersive Media

Shahmansouri¹,

Rashidian²

2012

PIER

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“…In order to model them accurately, different dispersive models have been incorporated into Maxwell equations [13,[16][17][18][19][20][21][22][23][24][25][26][27][28]. Most of the available dispersive models are in frequency domain, so as to make them consistent with time domain methods different approaches such as recursive convolution (RC), piecewise linear recursive convolution (PLRC), z-transform and auxiliary differential equation (ADE) [13,18,[24][25][26] are used. PLRC and ADE are most commonly used approaches due to their accuracy and efficiency.…”

Section: Formulationsmentioning

confidence: 99%

Implementation of the FDTD Method Based on Lorentz-Drude Dispersive Model on Gpu for Plasmonics Applications

Lee¹,

Ahmed²,

Goh³

et al. 2011

PIER

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Abstract-We present a three-dimensional finite difference time domain (FDTD) method on graphics processing unit (GPU) for plasmonics applications. For the simulation of plasmonics devices, the Lorentz-Drude (LD) dispersive model is incorporated into Maxwell equations, while the auxiliary differential equation (ADE) technique is applied to the LD model. Our numerical experiments based on typical domain sizes as well as plasmonics environment demonstrate that our implementation of the FDTD method on GPU offers significant speed up as compared to the traditional CPU implementations.

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“…However, when a traditional FDTD method is used in analysis, the computational time rises due to a small time steps that are determined by the Courant-Friedrich-Levy (CFL) condition. To eliminate the restriction of CFL condition in FDTD method, the locally one dimensional (LOD) scheme has been used in discretization of Maxwell's equations [13]. A three-dimensional FDTD method on graphics processing unit (GPU) for plasmonics applications is presented in [14].…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we have used the TRC-LOD-FDTD method of [13] to analyze a MIM plasmonic filter. Exciting the structure by a plane wave, we have obtained time response of the electric field at input and output planes of our primary filter.…”

Section: Introductionmentioning

confidence: 99%

Grating Effects on Sidelobe Suppression in Mim Plasmonic Filters

Djabery¹,

Nikmehr²,

Hosseinzadeh³

2013

PIER

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Abstract-In this paper a procedure for sidelobe suppression in the frequency response of a MIM (metal-insulator-metal) plasmonic filter is presented. Using the calculated effective refractive index for various values of the width of dielectric core and Bragg condition, the structural profile of primary filter is obtained. The frequency response for the transmission coefficient of the MIM plasmonic filter is derived by TRC-LOD-FDTD method. The variation in the frequency response of the filter due to changes in the structural parameters is studied. Finally, the usage of Gaussian, sinusoidal and linear types of gratings in suppressing the sidelobes and their effects on the stop-band bandwidth of the MIM plasmonic filter is investigated.

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A Frequency-Dependent LOD-FDTD Method and Its Application to the Analyses of Plasmonic Waveguide Devices

Cited by 55 publications

References 40 publications

Gpu Implementation of Split-Field Finite-Difference Time-Domain Method for Drude-Lorentz Dispersive Media

Gpu Implementation of Split-Field Finite-Difference Time-Domain Method for Drude-Lorentz Dispersive Media

Implementation of the FDTD Method Based on Lorentz-Drude Dispersive Model on Gpu for Plasmonics Applications

Grating Effects on Sidelobe Suppression in Mim Plasmonic Filters

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