A unified 3‐D ADI‐FDTD algorithm with one‐step leapfrog approach for modeling frequency‐dependent dispersive media

Xie, Guoda; Huang, Zhixiang; Fang, Ming; Wu, Xianliang

doi:10.1002/jnm.2666

Cited by 12 publications

(4 citation statements)

References 24 publications

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“…e socalled artificial neural network evaluation method refers to the corresponding simulation of the working principle of human brain neural network, the establishment of learning model, and the analysis by using the existing empirical knowledge, so as to reduce the error between the best solution and the actual value as much as possible [13]. is benefit evaluation method is interactive, which can take scholars' intuition W and experience mode into account and reduce the impact of various uncertain factors in this process as much as possible.…”

Section: Artificial Neural Network Evaluation Methodmentioning

confidence: 99%

Data Envelopment Analysis Algorithm of Enterprise Economic Benefits Based on Leapfrog Algorithm

Chen¹,

Zhao

2021

Security and Communication Networks

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In order to deal with the problems of low analysis accuracy and poor security in the current enterprise economic benefit data analysis, this paper proposes an enterprise economic benefit data envelopment analysis algorithm based on leapfrog algorithm. According to the proposed method, with the help of comparing and analyzing different analysis algorithms of enterprise economic benefit data, the data envelopment analysis algorithm with strong usability is selected firstly. After that, the effectiveness of DEA is judged by introducing relaxation variables with the help of the data envelopment analysis algorithm, and the non-Archimedean infinitesimal model is used to build the basic operation mechanism. On this basis, the overall operation mechanism of leapfrog algorithm component is used to clarify the value range of relevant economic benefit data and the number of global mixed iterations. The experimental results show that the envelope analysis of enterprise economic benefit-related data using this method can not only improve the accuracy of data analysis but also effectively improve the security of relevant business data.

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Section: Artificial Neural Network Evaluation Methodmentioning

confidence: 99%

Data Envelopment Analysis Algorithm of Enterprise Economic Benefits Based on Leapfrog Algorithm

Chen¹,

Zhao

2021

Security and Communication Networks

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“…Implicit FDTD methods [8][9][10][11][12][13][14] relax the Courant condition. Since the implicit equations need to be solved with iterative convergence or matrix inversion, they have higher computational costs.…”

Section: Introductionmentioning

confidence: 99%

Relaxation of the Courant Condition in the Explicit Finite-Difference Time-Domain(2,6) Method with Third- and Fifth-degree Differential Terms

Sekido,

Umeda

2024

PIER M

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A new non-dissipative and explicit finite-difference time-domain (FDTD) method is proposed for relaxation of the Courant condition of FDTD(2,6) in three and two dimensions. To the time-development equations, the third-and fifth-degree spatial difference terms with fourth-and second-order accuracy, respectively, are appended with coefficients. A set of optimal coefficients for the appended terms is searched to minimize the numerical error in phase velocity but relax the Courant condition as well. The numerical errors with the new method are more reduced than those with the previous methods for each Courant number. However, there exists a large anisotropy in the phase velocity errors at large Courant numbers.

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“…The finite-difference time-domain (FDTD) method has been popularly employed to analyze a variety of electromagnetic (EM) wave problems because of its simplicity, robustness, and accuracy [1]- [4]. For exmaple, FDTD method was successfully employed for complex dispersive media [5]- [7]. Until now, a variety of dispersion models to fit the frequencydependent permittivity has been introduced such as Debye, Drude, Lorentz, modified Lorentz, quadratic complex rational function (QCRF), and complex-conjugate pole-residue (CCPR) models [8]- [16].…”

Section: Introductionmentioning

confidence: 99%

Accurate and Efficient Finite-Difference Time-Domain Simulation Compared With CCPR Model for Complex Dispersive Media

et al. 2019

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Recently, it has received a great deal of attention to analyze the electromagnetic wave problems in dispersive media by using the finite-difference time-domain (FDTD) method. Accordingly, it is of great importance to employ a proper dispersion model which can fit the frequency-dependent permittivity of a medium considered. The reported dispersion models include Debye, Drude, Lorentz, modified Lorentz, quadratic complex rational function, complex-conjugate pole-residue (CCPR) models. The CCPR dispersion model has advantage over other dispersion models in the fact that accurate CCPR dispersion parameters can be simply extracted by using the powerful and robust vector fitting tool which has been widely used in the circuit theory. However, the arithmetic operation of CCPR-based FDTD implementation is involved with complex-valued numbers and thus its numerical computation is not efficient. In this work, we propose an accurate and efficient FDTD simulation for complex dispersive media. In specific, an accurate CCPR dispersion model is simply obtained using the vector fitting tool and then the CCPR dispersion model is converted to the modified Lorentz dispersion model which leads to the arithmetic operation of only realvalued numbers in its FDTD implementation. Numerical examples are used to illustrate the accuracy and efficiency of our dispersive FDTD simulation. INDEX TERMS Dispersion model, dispersive media, finite-difference time-domain (FDTD) method, human tissue, plasmonics.

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A unified 3‐D ADI‐FDTD algorithm with one‐step leapfrog approach for modeling frequency‐dependent dispersive media

Cited by 12 publications

References 24 publications

Data Envelopment Analysis Algorithm of Enterprise Economic Benefits Based on Leapfrog Algorithm

Data Envelopment Analysis Algorithm of Enterprise Economic Benefits Based on Leapfrog Algorithm

Relaxation of the Courant Condition in the Explicit Finite-Difference Time-Domain(2,6) Method with Third- and Fifth-degree Differential Terms

Accurate and Efficient Finite-Difference Time-Domain Simulation Compared With CCPR Model for Complex Dispersive Media

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