MLACE-MLFMA Combined With Reduced Basis Method for Efficient Wideband Electromagnetic Scattering From Metallic Targets

Wu, Lifeng; Zhao, Yanwen; Cai, Qiang‐Ming; Zhang, Runren; Gu, Liwei; Zhang, Zhipeng; Nie, Zaiping

doi:10.1109/tap.2019.2911352

Cited by 22 publications

(6 citation statements)

References 37 publications

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“…RFM strategy is a direct solution method of formula (18), and by transforming the formula, the corresponding coefficient matrix can be obtained. The values of a and b can be achieved by solving the matrix equation by Gaussian elimination method.…”

Section: Rational Function Interpolation Methodsmentioning

confidence: 99%

“…For Chebyshev approximation, it is preferred to the calculation of far-field than the near-field. The RBM is a good interpolation method to solve the wideband EM problems while it is not feasible for electrically large targets without the combination of other algorithms [18]. Compared with aforementioned interpolation techniques, MBPE method does not need to calculate high-order derivative information and has the characteristics of strong applicability and flexibility.…”

Section: Introductionmentioning

confidence: 99%

“…For other interpolation algorithms, the simplest way to select a sampling point is through the relative error of two adjacent samples [27]. In [18], an interpolation error verification process is added to select the sampling points. At the same time, an adaptive segmentation strategy is proposed in [28], which selects the samples in each paragraph.…”

Section: Introductionmentioning

confidence: 99%

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Combination of Dual-Model-Base Adaptive Sampling Algorithm and Adaptive Cross Approximation for Fast Computation of Broadband RCS

Cheng¹,

Zhang²,

Xi³

et al. 2022

PIER M

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In this paper, a dual-model based adaptive sampling method is proposed for the fast calculation of broadband electromagnetic scattering. The difference between the rational function model (RFM) and cubic-spline (CS) based polynomial model is used to generate new frequency samples adaptively. Then, the cubic Hermite interpolation is used to approximate the final broadband RCS curve. The radar cross section (RCS) at each frequency sample is computed by the method of moment (MoM) which is accelerated by the adaptive cross approximation (ACA). Numerical results demonstrate that the proposed method is able to obtain the broadband RCS curve with high accuracy and reduce the computation time significantly. Compared with the method of moment and adaptive cross approximation method, the adaptive algorithm improves the computational efficiency by 77.13% in the sphere case, 83.79% in the rail model, and nearly 90.72% in the missile example. In addition, the method proposed in this paper has the characteristics of nonuniform sampling and strong applicability and flexibility, which is able to combine other matrix compressed methods to effectively solve problems in electromagnetic field.

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Section: Rational Function Interpolation Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Combination of Dual-Model-Base Adaptive Sampling Algorithm and Adaptive Cross Approximation for Fast Computation of Broadband RCS

Cheng¹,

Zhang²,

Xi³

et al. 2022

PIER M

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show abstract

“…Fundamentally, both (31) and (32) are successful cases of inverse application of distributive law of vector operations to aggregation, translation and disaggregation. However, both (25) and (26) are incomplete cases.…”

Section: Because Of Common V Lfield M Lmentioning

confidence: 99%

A Concise and Efficient MLFMA Scheme for Electromagnetic Surface Integral Equations From Dielectric Objects

Miao

Wang

2020

IEEE Access

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In the surface field integral equations (SIEs) from three-dimensional homogeneous dielectric objects, the equivalence electric and magnetic currents on the discontinuous interfaces between different homogeneous media are two independent sources. When the SIEs are iteratively solved, as indicated by the published literatures, the multilevel fast multipole algorithm (MLFMA) needs to be implemented respectively for the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE) with these two currents, and hence a few MLFMA implementations are necessary for each homogeneous medium. In this paper, a concise and efficient scheme is proposed for reducing the implementations of the SIEs-MLFMA. First, the summation of the EFIE and MFIE-MLFMA implementations with the two currents can be simplified into one EFIE or MFIE-MLFMA implementation with integrating electric and magnetic currents at the lowest-level aggregation stage. Secondly, the common matrix frameworks consisting of the EFIE and MFIE-MLFMA implementations used in the SIEs can be simplified into one MLFMA implementation with two lowest-level diaggregations. The enhanced MLFMA scheme has excellent applicability to eight kinds of SIEs in wide use. In this way, the resulted SIE-MLFMA scheme performs only once for each homogeneous medium when transforming outgoing wave expansions of the two currents into incoming wave expansions for bottom cubes. Compared with the widely-used implementation approach of the MLFMA one by one for the two currents, it reduces the computation complexity by one half without sacrificing accuracy and adding a little memory requirement. Some examples are presented to validate the enhanced MLFMA scheme.

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“…In one of our previous publications in the context of multiple-precision arithmetic, we have proposed an error control scheme for MLFMA that is valid at all frequencies, which can also take into account the machine precision of the computing platform, bringing a whole new outlook on MLFMA simulations [4]. Given the box size and the desired relative error threshold, the proposed scheme can provide the optimum truncation numbers and the minimum required machine precision levels at all frequencies for the first time in the literature, whereas the previous methods were limited to only high-frequency problems [5]- [8] or modified implementations [9].…”

Section: Introductionmentioning

confidence: 99%

Error Analysis of MLFMA With Closed-Form Expressions

Kalfa

Ertürk

Ergül

2021

IEEE Trans. Antennas Propagat.

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MLACE-MLFMA Combined With Reduced Basis Method for Efficient Wideband Electromagnetic Scattering From Metallic Targets

Cited by 22 publications

References 37 publications

Combination of Dual-Model-Base Adaptive Sampling Algorithm and Adaptive Cross Approximation for Fast Computation of Broadband RCS

Combination of Dual-Model-Base Adaptive Sampling Algorithm and Adaptive Cross Approximation for Fast Computation of Broadband RCS

A Concise and Efficient MLFMA Scheme for Electromagnetic Surface Integral Equations From Dielectric Objects

Error Analysis of MLFMA With Closed-Form Expressions

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