Spectral domain analysis of conducting patches of arbitrary geometry in multilayer media using the CG-FFT method

Cátedra, M.F.; Gago, E.

doi:10.1109/8.59764

Cited by 31 publications

(5 citation statements)

References 10 publications

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“…Then, in Section IV-B, the relationship between the contour heights and the Taylor's series orders is briefly illustrated in Table I. In Section IV-C, a reduced interaction Z ′ mn between two primary MBFs computed with the proposed C-FFT based MBF method (24) are presented and compared with the results obtained with the traditional MBF approach. In Section IV-D, we discuss the results in terms of port currents and radiation patterns for the case of irregular arrays made of 100 identical microstrip patches.…”

Section: Resultsmentioning

confidence: 99%

“…The evolution of the error in the final solution for various values of γ [see equation (18)] and for various orders of the Taylor's series terms [see equation (24)] is summarized in Table I. These errors correspond to the computation of interactions between two primary MBFs on the antennas placed diagonally at the distance of d = ∆x 2 + ∆y 2 = 21.2λ 0 , where, λ 0 is the free-space wavelength.…”

Section: B On the Contour Height And Taylor's Series Ordermentioning

confidence: 99%

“…The problem has already been mentioned in 1990 [24], where one deals with the surface wave poles by using many integration points [24] around the poles, assuming that one has the knowledge of the exact location and of the number of poles, which is not really a trivial task. The authors of [13] suggest to use a fine spectral sampling near the singularities of the Green's function in spectral-domain.…”

Section: Introductionmentioning

confidence: 99%

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Contour-FFT Based Spectral Domain MBF Analysis of Large Printed Antenna Arrays

Jha

Craeye

2014

IEEE Trans. Antennas Propagat.

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A fast spectral-domain method is proposed to evaluate the reaction terms between the macro basis functions in regular and non-regular arrays made of identical printed antennas. The presented technique first exploits the filtering capabilities of the macro basis functions in the spectral domain. The method is then strongly accelerated with the help of a newly formulated fast Fourier transform (FFT)-based technique, which is applicable to a contour integration in the complex plane. We name the method as contour-FFT (C-FFT). Besides an effective homogeneous medium term treated with multipoles, a computational complexity of order is achieved for the tabulation of substrate-related reaction terms for any possible relative positions. The complexity of the proposed method is independent from the complexity of the elements. Numerical results obtained with the proposed method are compared with those from a pre-validated reference solution based on the traditional macro basis functions technique; an excellent agreement is observed. Index Terms-Contour deformation, contour-fast Fourier transform (FFT), Green's function, large irregular arrays, macro basis function (MBF), method of moments (MoM), printed antenna, spectral domain method.

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Section: Resultsmentioning

confidence: 99%

Section: B On the Contour Height And Taylor's Series Ordermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Contour-FFT Based Spectral Domain MBF Analysis of Large Printed Antenna Arrays

Jha

Craeye

2014

IEEE Trans. Antennas Propagat.

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“…The quantity of interest was monostatic radar cross section (RCS) for a θ polarized plane wave incident from broadside. The results obtained by iQR and HM-iQR methods are compared with literature data [16,17].…”

Section: Numerical Resultsmentioning

confidence: 99%

On the Application of the Incomplete QR Algorithm to the Analysis of Microstrip Antennas

Głuchowski¹,

Kucharski²

2016

RADIOENGINEERING

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“…The CG-FFT [11] is one of the most classical methods with iterative procedure and many applications have been found in different areas such as algebra, signal processing, computational geometry, and CEM, especially in MoM based algorithms [29]. The pseudocode of traditional CG-FFT can be depicted as…”

Section: Principle Of Cg-fft Multilayered Green's Functions Andmentioning

confidence: 99%

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

Song

Mu²,

Zhou

2017

International Journal of Antennas and Propagation

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The fast and accurate numerical analysis for large-scale objects and complex structures is essential to electromagnetic simulation and design. Comparing to the exploration in EM algorithms from mathematical point of view, the computer programming realization is coordinately significant while keeping up with the development of hardware architectures. Unlike the previous parallel algorithms or those implemented by means of parallel programming on multicore CPU with OpenMP or on a cluster of computers with MPI, the new type of large-scale parallel processor based on graphics processing unit (GPU) has shown impressive ability in various scenarios of supercomputing, while its application in computational electromagnetics is especially expected. This paper introduces our recent work on high performance computing based on GPU/CPU heterogeneous platform and its application to EM scattering problems and planar multilayered medium structure, including a novel realization of OpenMP-CUDA-MLFMM, a developed ACA method and a deeply optimized CG-FFT method. With fruitful numerical examples and their obvious enhancement in efficiencies, it is convincing to keep on deeply investigating and understanding the computer hardware and their operating mechanism in the future.

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Spectral domain analysis of conducting patches of arbitrary geometry in multilayer media using the CG-FFT method

Cited by 31 publications

References 10 publications

Contour-FFT Based Spectral Domain MBF Analysis of Large Printed Antenna Arrays

Contour-FFT Based Spectral Domain MBF Analysis of Large Printed Antenna Arrays

On the Application of the Incomplete QR Algorithm to the Analysis of Microstrip Antennas

High Performance Computing of Complex Electromagnetic Algorithms Based on GPU/CPU Heterogeneous Platform and Its Applications to EM Scattering and Multilayered Medium Structure

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