Numerical Dispersion Analysis With an Improved LOD–FDTD Method

Li, Er‐Ping; Ahmed, Iftikhar; Vahldieck, R.

doi:10.1109/lmwc.2007.895687

Cited by 55 publications

(34 citation statements)

References 10 publications

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“…Numerous time steps are needed, which leads to excessively long computation times to converge to a steady state. In order to solve this problem, implicit-FDTD schemes [3][4][5] and several numerical methods with quasi-static approximation (QSA) have been researched. The implicit FDTD methods are theoretically unconditionally stable.…”

Section: Introductionmentioning

confidence: 99%

Numerical Method for Exposure Assessment of Wireless Power Transmission under Low-Frequency Band

Kim¹,

Park²,

Jung³

2016

Journal of Magnetics

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In this paper, an effective numerical analysis method is proposed for calculating dosimetry of the wireless power transfer system operating low-frequency ranges. The finite-difference time-domain (FDTD) method is widely used to analyze bio-electromagnetic field problems, which require high resolution, such as a heterogeneous whole-body voxel human model. However, applying the standard method in the low-frequency band incurs an inordinate number of time steps. We overcome this problem by proposing a modified finitedifference time-domain method which utilizes a quasi-static approximation with the surface equivalence theorem. The analysis results of the simple model by using proposed method are in good agreement with those from a commercial electromagnetic simulator. A simulation of the induced electric fields in a human head voxel model exposed to a wireless power transmission system provides a realistic example of an application of the proposed method. The simulation results of the realistic human model with the proposed method are verified by comparing it with the conventional FDTD method.

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Section: Introductionmentioning

confidence: 99%

Numerical Method for Exposure Assessment of Wireless Power Transmission under Low-Frequency Band

Kim¹,

Park²,

Jung³

2016

Journal of Magnetics

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“…However, similar to the ADI-FDTD method, the LOD-FDTD method also has a larger numerical dispersion error at larger time steps. Subsequently, modified LOD-FDTD methods with low dispersion proposed in [35][36][37][38]. Moreover, an efficient method to reduce the numerical dispersion in the LOD-FDTD method based on the (2, 4) stencil was proposed in [39].…”

Section: Introductionmentioning

confidence: 99%

Two Efficient Unconditionally-Stable Four-Stages Split-Step FDTD Methods With Low Numerical Dispersion

Kong¹,

Chu²,

Li³

2013

PIER B

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Abstract-Two efficient unconditionally-stable four-stages splitstep (SS) finite-difference time-domain (FDTD) methods based on controlling parameters are presented, which provide low numerical dispersion. Firstly, in the first proposed method, the Maxwell's matrix is split into four sub-matrices. Simultaneously, two controlling parameters are introduced to decrease the numerical dispersion error. Accordingly, the time step is divided into four sub-steps. The second proposed method is obtained by adjusting the sequence of the submatrices deduced in the first method. Secondly, the theoretical proofs of the unconditional stability and dispersion relations of the proposed methods are given. Furthermore, the processes of obtaining the controlling parameters for the proposed methods are shown. Thirdly, the dispersion characteristics of the proposed methods are also investigated, and numerical dispersion errors of the proposed methods can be decreased significantly. Finally, to substantiate the efficiency of the proposed methods, numerical experiments are presented.

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“…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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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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Numerical Dispersion Analysis With an Improved LOD–FDTD Method

Cited by 55 publications

References 10 publications

Numerical Method for Exposure Assessment of Wireless Power Transmission under Low-Frequency Band

Numerical Method for Exposure Assessment of Wireless Power Transmission under Low-Frequency Band

Two Efficient Unconditionally-Stable Four-Stages Split-Step FDTD Methods With Low Numerical Dispersion

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

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