Efficient Analysis of Electromagnetic Fields for Designing Nanoscale Antennas by Using a Boundary Integral Equation Method With Fast Inverse Laplace Transform

Kishimoto, Seiya; Okada, Tomoko; Ohnuki, Shinichiro; Ashizawa, Yoshito; Nakagawa, K.

doi:10.2528/pier13081701

Cited by 14 publications

(12 citation statements)

References 13 publications

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“…ii) After determining the electromagnetic fields in the complex-frequency domain, the time-domain response at t i (i = 0, 1, …, n − 1) can be obtained using the FILT. Response f can be computed to evaluate the following finite series [2], [3]:…”

Section: Parallel Fdtd Algorithmmentioning

confidence: 99%

“…We realize this parallel algorithm using the recently developed hybrid technique that includes the finite-difference complex-frequency-domain (FDCFD) method [1] and the fast inverse Laplace transform (FILT) [2], [3], which allows to determine the initial response for each subsection. Then, the conventional FDTD method [4], [5] is applied to the initial responses to simultaneously update the electromagnetic response on all the nodes.…”

Section: Introductionmentioning

confidence: 99%

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Time-Division Parallel FDTD Algorithm

Ohnuki

Ohnishi

et al. 2018

IEEE Photon. Technol. Lett.

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We propose a novel and efficient algorithm to parallelize the finite-difference time-domain method, where the observation period is divided into an arbitrary number of subsections, whose computation is distributed to corresponding computer nodes. The proposed algorithm roughly reduces the computational time to an nth fraction of the conventional algorithm, where n is the number of nodes for parallel computing, thus verifying its efficiency improvement.

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Section: Parallel Fdtd Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-Division Parallel FDTD Algorithm

Ohnuki

Ohnishi

et al. 2018

IEEE Photon. Technol. Lett.

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“…In this paper, a novel computational method relying on the finite difference method (FDM) and fast inverse Laplace transform (FILT) is proposed for heat conduction analysis in the time domain [10]. FILT has been applied to the time analysis of electromagnetic problems [11,12]. In heat conduction problems, the heat transfer equation is solved by expanding the FDM in the complex frequency domain.…”

Section: Introductionmentioning

confidence: 99%

Novel Computational Technique for Time-Dependent Heat Transfer Analysis Using Fast Inverse Laplace Transform

Kishimoto¹,

Nishino²,

Ohnuki³

2021

PIER M

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A novel computational technique is proposed for heat conduction analysis. The heat transfer equation is expanded in the complex frequency domain and solved using the finite difference method (FDM). The results in the complex frequency domain are transformed into the time domain via fast inverse Laplace transform. In the proposed approach, the instantaneous temperature at a specific time can be easily obtained. Moreover, the computation time for the conventional explicit FDM is reduced by employing the time-division parallel computing method.

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“…To perform an inverse Laplace transform, many numerical implementations have been proposed [6]. The fast inverse Laplace transform (FILT) is an easy and concise implementation [7] that has been successfully applied to practical EM analyses for plasmonic antennas [8], ground-penetrating radar [9], transmission lines [10], biological media [11], low-frequency issues, and problems related to DC components [12,13,14]. FILT can obtain the time-domain response independently at an arbitrary single time; therefore, it is convenient for performing parallel computations.…”

Section: Introductionmentioning

confidence: 99%