A Hybrid Approach for Rapid Computation of Two-Dimensional Monostatic Radar Cross Section Problems With the Multilevel Fast Multipole Algorithm

Schröder, Arne; Brüns, Heinz-Dietrich; Schuster, Christian

doi:10.1109/tap.2012.2209858

Cited by 29 publications

(17 citation statements)

References 19 publications

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“…Some approaches such as the Dual Modified Gram Schmidt block-QR-factorization [11] or the block IE-QR approach presented in [12] also offer the advantage of not having to assemble the full submatrix before performing the compression. The Adaptive Cross Approximation method [13] also presents the same advantage and has been extensively studied and applied in the last years, including error and convergence analysis [14,15], multilevel and hierarchical implementations [16,17] or combinations with other fast approaches such as MLFMA [18] or the Characteristic Basis Function Method [19].…”

Section: Improving the Efficiency Of The Moment Methodsmentioning

confidence: 99%

AN OVERVIEW OF THE EVOLUTION OF METHOD OF MOMENTS TECHNIQUES IN MODERN EM SIMULATORS (Invited Paper)

Delgado¹,

García²,

Moreno³

et al. 2015

PIER

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Abstract-This paper presents an evolution of the challenges and solutions found in the application of techniques based on the Method of Moments until the present day. The original MoM presented very high computational restrictions that have motivated the development of more efficient approaches. The main features of these newer improvements are presented, as well as other technical details regarding preconditioning and parallelization techniques. Some representative examples are shown in order to assert the suitability of these approaches for the analysis of complex and realistic scenarios.

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Section: Improving the Efficiency Of The Moment Methodsmentioning

confidence: 99%

AN OVERVIEW OF THE EVOLUTION OF METHOD OF MOMENTS TECHNIQUES IN MODERN EM SIMULATORS (Invited Paper)

Delgado¹,

García²,

Moreno³

et al. 2015

PIER

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“…As done in [21], we first perform the ACA decomposition [5] of the extended plane wave excitations matrix V i + .…”

Section: Efficient Cbfs Generation Using Aca-svdmentioning

confidence: 99%

Efficient iterative solution of electromagnetic scattering using adaptive cross approximation enhanced characteristic basis function method

Chen

et al. 2015

IET Microwaves, Antennas & Propagation

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A new hybrid adaptive cross approximation-characteristic basis function method (ACA-CBFM) is proposed to efficiently solve the electromagnetic scattering problems. In the conventional ACA-CBFM, the ACA is only applied to speed up the construction of the reduced matrix that is directly solved and stored. However, with the increase of the size of the targets under analysis, the reduced matrix will become so large that it is difficult to directly solve and store. In this study, the reduced matrix is further compressed by the adaptive cross approximation-singular value decomposition (ACA-SVD) and solved by an iterative method, which leads to reduced storage and accelerated matrix vector product. Furthermore, the ACA-SVD is adapted to efficiently generate the characteristic basis functions (CBFs), which reduces both the time of generating initial CBFs and the SVD time of initial CBFs. Numerical results about the electromagnetic scattering from perfect electric conducting targets are given to demonstrate the merits of the proposed methods.

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“…Thus, in this paper, the FACA [7] is employed to compress the excitation matrix so as to reduce the number of iterative solutions of the matrix equation. Compared with the conventional ACA [1,8], the FACA can save storage and give a more efficient sampling procedure for decomposing the excitation matrix when dealing with electrically large problems.…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Method to Accelerate the Calculation of Two-Dimensional Monostatic Radar Cross Section on Pec Targets

Fei¹,

Chen²,

Zhang³

et al. 2016

PIER M

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Abstract-This paper proposes a hybrid method to accelerate the calculation of the monostatic radar cross section (RCS) of perfect electric conducting (PEC) targets. In a sense, the proposed method can be considered as a fast adaptive cross approximation (FACA)-based method. The FACA is firstly used to compress the excitation matrix which comes from the beforehand defined incident plane waves. It decreases the time and memory on decomposing the excitation matrix compared with the conventional adaptive cross approximation (ACA). Furthermore, the computational complexity of iterative solution is reduced by using the sparsified ACA (SPACA) algorithm after dividing the target into blocks. Consequently, the proposed method is efficient for calculating two-dimensional (2D) monostatic RCS.

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A Hybrid Approach for Rapid Computation of Two-Dimensional Monostatic Radar Cross Section Problems With the Multilevel Fast Multipole Algorithm

Cited by 29 publications

References 19 publications

AN OVERVIEW OF THE EVOLUTION OF METHOD OF MOMENTS TECHNIQUES IN MODERN EM SIMULATORS (Invited Paper)

AN OVERVIEW OF THE EVOLUTION OF METHOD OF MOMENTS TECHNIQUES IN MODERN EM SIMULATORS (Invited Paper)

Efficient iterative solution of electromagnetic scattering using adaptive cross approximation enhanced characteristic basis function method

A Hybrid Method to Accelerate the Calculation of Two-Dimensional Monostatic Radar Cross Section on Pec Targets

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