On the optimal design of the PML absorbing boundary condition for the FDTD code

Lazzi, Gianluca; Gandhi, O.P.

doi:10.1109/8.575651

Cited by 27 publications

(5 citation statements)

References 5 publications

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“…The Utah group used the ®nite difference time domain method (FDTD) at 10 MHz and scaled the results to 60 Hz [Gandhi and Chen, 1992;Furse and Gandhi, 1998]. The computational space was terminated by an 8-layer perfectly matched layer (PML) introduced by Berenger [1994] and optimized as described by Lazzi and Gandhi [1997], or by the retarded time boundary condition [Berntsen and Hornsleth, 1994]. The magnitude and phase of the ®elds in each location were noted at two time instances (100 steps apart).…”

Section: Computational Methods For the Electric Fieldsmentioning

confidence: 99%

Inter-laboratory comparison of numerical dosimetry for human exposure to 60 Hz electric and magnetic fields

Stuchly

Gandhi

2000

Bioelectromagnetics

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In recent years, with the availability of high resolution models of the human body, numerical computations of induced electric fields and currents have been made in more than one laboratory for various exposure conditions. Despite the verification of computational methods, questions are often asked about the reliability of these data. In this paper, computati onal results from two laboratories that presented data in compatible formats are compared, supplemented with additional data from the third laboratory. Two exposures to uniform fields at 60 Hz are evaluated. The human body models used in the computations are different and so are the computation al methods and codes. There are some differences in the conductivity values used for some of the tissues, as well. The results of the comparison confirm that these data are reliable, as the overall agreement is reasonably good and the differences can be rationally explained. This comparison also underscores the importance of accurate data on the dielectric properties of tissues. Bioelectromagnetics 21:167–174, 2000. © 2000 Wiley‐Liss, Inc.

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Section: Computational Methods For the Electric Fieldsmentioning

confidence: 99%

Inter-laboratory comparison of numerical dosimetry for human exposure to 60 Hz electric and magnetic fields

Stuchly

Gandhi

2000

Bioelectromagnetics

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“…With the increment of time steps, the curves obtained by unconditionally stable algorithms shows significant shifting, as shown in Figure 5B, Figure 6B introduced with CFLN = 16. The relative error is defined in 32 which can efficiently demonstrate the calculation error in the frequency domain. Figure 7 shows the relative error in the frequency domain including S 11 parameter in Figure 7A and S 21 parameter in Figure 7B.…”

Section: Save Components and Results For Next Cyclementioning

confidence: 99%

Factorization‐splitting algorithm based on system incorporated method for periodic nonuniform domains in open regions

Wang

Qiao

2023

Int J Numerical Modelling

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The original Factorization‐Splitting (FS) algorithm solves large number of coefficients and components in each iteration cycle which significantly affects the computational resources and calculation efficiency. Meanwhile, it can merely solve problems in uniform domains due to the limitation of discretized mesh sizes. In order alleviate these drawbacks, system incorporated factorization‐splitting algorithm is proposed to efficiently solve problems in nonuniform domains. The finite‐difference time‐domain (FDTD) domain is terminated by the higher order perfectly matched layer (PML) formulation which shows advantages in improving the absorbing performance. As the employment of the original domain decomposition method results in the algorithm unstable, an alternative domain decomposition method is proposed which can split the entire nonuniform domain into several sub‐regions. Metamaterial structure is introduced to demonstrate the performance of the proposed algorithms. Through results, the proposed algorithm can decrease memory consumption and simulation duration due to the calculation prevention of repeated components and coefficients. The absorption can be further improved especially in the low‐frequency band due to the enhanced absorption of propagation waves. In addition, the alternative domain decomposition method shows considerable advantages in the simulation of nonuniform domains.

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“…In [7], Lazzi and Gandhi utilize a "pseudoanalytical" formula in optimal design of the PML. However, polynomial profile is again presumed.…”

Section: Introductionmentioning

confidence: 99%

Zero reflection coefficient in discretized PML

Juntunen

Kantartzis

Tsiboukis

2001

IEEE Microw. Wireless Compon. Lett.

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On the optimal design of the PML absorbing boundary condition for the FDTD code

Cited by 27 publications

References 5 publications

Inter-laboratory comparison of numerical dosimetry for human exposure to 60 Hz electric and magnetic fields

Inter-laboratory comparison of numerical dosimetry for human exposure to 60 Hz electric and magnetic fields

Factorization‐splitting algorithm based on system incorporated method for periodic nonuniform domains in open regions

Zero reflection coefficient in discretized PML

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