Efficient Generation of Method of Moments Matrices Using the Characteristic Function Method

Yeo, Junho; Koksoy, S.; Prakash, V.V.S.; Mittra, R.

doi:10.1109/tap.2004.836418

Cited by 53 publications

(18 citation statements)

References 14 publications

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“…The source function, testing function, and equivalent dipoles are shown in Fig. 1 [10]. As mentioned above, nine kinds of SED basis function are included.…”

Section: Characteristic Function (Cf) Methodsmentioning

confidence: 99%

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Scattering Analysis of Large-Scale Periodic Structures Using the Sub-Entire Domain Basis Function Method and Characteristic Function Method

Wang

et al. 2007

Journal of Electromagnetic Waves and Applications

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In this paper, the sub-entire domain basis function method and characteristic function (CF) method are used to analyze scattering of large-scale periodic structures. The former can dramatically reduce the number of unknows. To reduce the time for impedance matrix generation, the CF method can be used when the distance between the source function and the testing function positions is big enough. Finally, some simulation examples are given to validate the method.

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“…The source function, testing function, and equivalent dipoles are shown in Fig. 1 [10]. As mentioned above, nine kinds of SED basis function are included.…”

Section: Characteristic Function (Cf) Methodsmentioning

confidence: 99%

“…The characteristic function method [10] is a novel method for generating the impedance matrix. In the CF method, the source function and the testing function are equivalent to electric dipoles.…”

Section: Introductionmentioning

confidence: 99%

Scattering Analysis of Large-Scale Periodic Structures Using the Sub-Entire Domain Basis Function Method and Characteristic Function Method

Wang

et al. 2007

Journal of Electromagnetic Waves and Applications

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“…FDM can sparse the impedance matrix and its frequency derivative, speed up the calculation of the matrix-vector product and reduce the computational time. FDM is based on the concept of EDM [13], [14]. EDM is a fast and efficient technique for computing the impedance elements for RWG basic function.…”

Section: A Awe Techniquementioning

confidence: 99%

“…EDM is a fast and efficient technique for computing the impedance elements for RWG basic function. According to [13], the -th m and -th n RWG elements can be viewed as two small dipoles, when the distance between them is beyond 0.15 . denotes the incident wavelength.…”

Section: A Awe Techniquementioning

confidence: 99%

Fast calculation of RCS over a broad frequency band using FDM and AWE technique

2012

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The fast dipole method (FDM) in conjunction with the asymptotic waveform evaluation (AWE) technique is presented for fast calculation of radar cross section (RCS) from arbitrarily shaped perfect electric conductor targets over a broad frequency band. The FDM, which is based on the equivalent dipole-moment (EDM) method, is employed to reduce impedance matrix storage and accelerate the matrix-vector multiplications in the solutions of the Taylor coefficients. The application of AWE technique enables fast frequency sweep analysis. The numerical results show that this method greatly increased the computational efficiency without losing accuracy conditions compared with the traditional method of moments (MoM) combined with AWE technique. Keywords-Fast dipole method, equivalent dipole-moment, asymptotic waveform evaluation, radar cross section, method of moments I. INTRODUCTIONPredicting the wide-band radar cross section (RCS) of the target has important real life significance, such as synthetic aperture radar imaging and anti-stealth technology. Both of them need the information of wide-band RCS. With the rapid development of computer technology, the method of moments (MoM) [1] for solving the surface integral equation (SIE) has become one of the important method to accurately estimate the target RCS. In order to obtain the RCS over a band of frequencies using MoM, one has to repeat the calculations at each frequency over the band of interest, which will spend a lot of computing time. In order to improve computational efficiency, the model-based parameter estimation [2], the best uniform approximation [3], the asymptotic waveform evaluation (AWE) [4], [5] technique and other methods have been developed in recent years.In the above approach, the AWE technique is widely used in the applications of electromagnetic scattering problems due to its easiness to combine with MoM, but restricted to the computer resource, it can not be used to solve the scattering properties of the electrically large target. Since the 1990s, some fast algorithms such as the FMM [6], MLFMM [7], CBFM [8] have been proposed and rapidly applied. Although these methods can effectively improve the computational efficiency and reduce memory requirements at the singlefrequency point, but the pointwise solution of broadband still -

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“…Recently, equivalent dipole-moment method (EDM) [11,12] has been developed to simplify and accelerate the MoM impedance matrix element filling procedure. The EDM is based on the commonly used Rao-Wilton-Glisson (RWG) [13] and Schaubert-Wilton-Glisson (SWG) [14] basis functions, in which each RWG triangle pair or SWG tetrahedron pair is viewed as a dipole model with an equivalent dipole moment.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Electromagnetic Scattering from PEC Targets using Improved Fast Dipole Method

Chen

Niu

et al. 2011

Journal of Electromagnetic Waves and Applications

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In this article, an improved fast dipole method (IFDM) is proposed to enhance the accuracy of the conventional fast dipole method (FDM). Through expanding the terms R α andRR in the formulation of the equivalent dipole-moment method (EDM) using a simple Taylor's series, the improved FDM can represent the interaction between two dipoles as an aggregation-translation-disaggregation form more accurately than the conventional FDM. Furthermore, the complexity of matrix-vector products (MVPs) between the far-group pair, such as block i and block j, also can be reduced from O(N i N j ) to O(N i + N j ), where N i and N j are the numbers of dipoles in block i and block j, respectively. For a prescribed and relatively high accuracy, the new method leads to a significant decrease in computational effort. Numerical results about the electromagnetic scattering from perfect electric conducting (PEC) targets are given to demonstrate the merits of the IFDM.

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Efficient Generation of Method of Moments Matrices Using the Characteristic Function Method

Cited by 53 publications

References 14 publications

Scattering Analysis of Large-Scale Periodic Structures Using the Sub-Entire Domain Basis Function Method and Characteristic Function Method

Scattering Analysis of Large-Scale Periodic Structures Using the Sub-Entire Domain Basis Function Method and Characteristic Function Method

Fast calculation of RCS over a broad frequency band using FDM and AWE technique

Analysis of Electromagnetic Scattering from PEC Targets using Improved Fast Dipole Method

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