Fast Algorithm to Extract the Singularity of Higher Order Moment Method

Yuan, Haobo; Wang, N.; Chen, Liang

doi:10.1163/156939308784158904

Cited by 7 publications

(10 citation statements)

References 15 publications

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“…When the source element coincides with the observation element, there is a 1/R singularity in the integrand of the inner surface integral, which is often handled by singularity subtraction methods for flat triangle elements [3], [14], or variable transformations for curved elements [15]- [17]. Although these transformations are suitable for the singularity when the observation point is right on the source element, they are not suitable for the near singularity when the observation point is just very close to the source element.…”

Section: Introductionmentioning

confidence: 99%

A Simple Transformation for Near-Singular Integrals on Curvilinear Elements

Yuan

Wang

Dang

et al. 2015

IEEE Trans. Antennas Propagat.

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at 5.3, and the values of θ1 and θ2 are adjusted in relation to (3). The results show that the pattern null width is reduced by the increased aperture radius; however, the pattern null depth tends to be increased as the aperture size becomes larger. Thus, the optimum aperture radius can be found within the range 9-10 cm, which includes the optimum array radius of the proposed array configuration. IV. CONCLUSIONWe have investigated the curved array split into two subarrays to improve the null steering performance for CRPA systems. The proposed array is composed of a single reference element at the center and two subarrays that are placed on the spherical curvature. Both signal processing and EM perspectives were taken into account by calculating array patterns using a microstrip patch antenna in conjunction with the constraint LMS algorithm. The optimum element positions, array radius, and array curvature were found by optimizing the pattern null depth and width, and the suitability of the proposed array was evaluated by comparing its null steering performance with the UCA configuration. The results demonstrated that the pattern null depth and width of the proposed array were improved by 4.8 dB and 58.6 • , respectively, for low-elevation interference sources. REFERENCES [1] M. beam steering/null steering algorithm for CW interference mitigation in GPS C/A code receivers," IEEE Trans.Abstract-It is difficult to evaluate the near-singular four-dimensional integrals in the Galerkin magnetic-field integral equations (MFIE), especially for the curvilinear elements. This communication presents a hyperbolic transformation to cancel the near singularities in the 1/R 2 kernel on curved quadrilateral elements, which is addressed theoretically and numerically. This method has a much simpler formula than the so-called DIRECTFN method, and its convergence rate may be much faster than the latter. This is demonstrated by evaluating the near-singular integral of a sharp-edged structure composed of two curvilinear quadrilaterals.Index Terms-Curvilinear quadrilateral, magnetic-field integral equation (MFIE), near singularity, transformation.

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Section: Introductionmentioning

confidence: 99%

A Simple Transformation for Near-Singular Integrals on Curvilinear Elements

Yuan

Wang

Dang

et al. 2015

IEEE Trans. Antennas Propagat.

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“…The out-of-core technique is utilized to tackle large dense systems generated by MoM, and can simulate large and complex arrays by occupying a small amount of RAM in reasonable time. In addition, Higher Order Basis functions (HOBs) [20,21] with polynomial forms are employed in the MoM region to sharply reduce the number of unknowns compared with the low-order basis functions, in specific, the piecewise Rao-Wilton-Glisson basis functions (RWGs) [22].…”

Section: Introductionmentioning

confidence: 99%

Parallel Mom-Po Method With Out-of-Core Technique for Analysis of Complex Arrays on Electrically Large Platforms

Zhao¹,

Zhang²,

García-Doñoro³

et al. 2010

PIER

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Abstract-A Message Passing Interface (MPI) parallel implementation of a hybrid solver that combines the Method of Moments (MoM) with higher order basis functions and Physical Optics (PO) has been successfully used to solve a challenging problem including a 2160-slot waveguide array on an airplane with a maximum dimension larger than 1000 wavelengths. The block-partitioned scheme for the large dense MoM matrix combined with the process-cyclic scheme for the PO discretized triangles is designed to achieve excellent load balance and high parallel efficiency. To break the limitation of physical memory, the parallel out-of-core technique is introduced to tackle large dense systems generated using the MoM formulation. This research provides a solution with reasonable accuracy for solving large on-board antenna problems but has very low memory usage.

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“…Integral equation (IE) is widely used for the numerical analysis of electromagnetic radiation and scattering [1][2][3][4][5][6][7][8][9][10][11][12][13][14]. Especially the time domain integral equation (TDIE) has been receiving much interest in studying many practical transient electromagnetic problems [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, it is necessary to develop fast algorithm for TDIE. So far, there are two kinds of fast algorithm based on TDIE: one is the plane wave time-domain algorithm (PWTD) [20][21][22] proposed by Shanker et al, which is actually the time-domain version of fast multi-pole method (FMM) [8][9][10]. This method could decrease computational complexity significantly, but the method itself is very complex and not easy to program.…”

Section: Introductionmentioning

confidence: 99%