Implementation of a Forward-Backward Procedure for the Fast Analysis of Electromagnetic Radiation/Scattering From Two-Dimensional Large Phased Arrays

Chou, Hsi‐Tseng; Ho, Hsien-Kwei

doi:10.1109/tap.2004.823886

Cited by 13 publications

(25 citation statements)

References 17 publications

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“…[16] is located below an airplane in the distance of 5λ, with the working frequency 2.0 GHz, as shown in Fig. 7.…”

Section: Analysis Of the Airborne Phase Array Antennamentioning

confidence: 99%

Analysis of Complex Antenna Around Electrically Large Platform Using Iterative Vector Fields and Utd Method

He¹,

Huang²,

Liang³

2009

PIER M

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Abstract-A new efficient technique for the analysis of complex antenna around a scatterer is proposed in this paper, termed the iterative vector fields with uniform geometrical theory of diffraction (UTD) technique. The complex field vector components on the closed surface enclosing the antenna without platform are computed by higher order Method of Moments (MOM), and the scattered fields from the platform are calculated by UTD method. The process of iteration is implemented according to the equivalence theorem. Based on this approach, an approximation method is outlined, in which the computational time is saved largely, while the accuracy is not reduced. The relative patterns obtained from the present method and the approximation method both show good agreements with that obtained from MOM.

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“…[16] is located below an airplane in the distance of 5λ, with the working frequency 2.0 GHz, as shown in Fig. 7.…”

Section: Analysis Of the Airborne Phase Array Antennamentioning

confidence: 99%

Analysis of Complex Antenna Around Electrically Large Platform Using Iterative Vector Fields and Utd Method

He¹,

Huang²,

Liang³

2009

PIER M

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“…In this paper, a discrete Fourier transform (DFT) [14] based acceleration algorithm [7] is used in conjunction with the biconjugate gradient stabilized method (Bi-CGSTABM) to reduce the computational complexity and memory storage of the iterative MoM (IMoM) solution to O(N tot ) in the analysis of phased arrays of both free-standing and printed dipoles. The O(N tot ) complexity of the solution is due to this DFT-based acceleration algorithm, which divides the contributing elements into "strong" and "weak" interaction groups for a receiving element in the IMoM.…”

Section: Introductionmentioning

confidence: 99%

“…It should be noted at this point that, recently, the same DFTbased acceleration technique was used in conjunction with a forward-backward method (FBM) to analyze large phased arrays of free-standing dipoles in [7] and then extended to large phased arrays of printed dipoles in [8,9]. The use of FBM in conjunction with this DFT-based acceleration algorithm shows some significant convergence problems in the analysis of printed dipole phased arrays when either the thickness of the substrate or the relative dielectric constant of the substrate (⑀ r Ͼ 1) (or both) are high [8,9].…”

Section: Introductionmentioning

confidence: 99%

Efficient analysis of large phased arrays using iterative MoM with DFT‐based acceleration algorithm

Ertürk

Chou

2003

Micro & Optical Tech Letters

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A discrete Fourier transform (DFT)-based iterative method of moments (IMoM) algorithm is developed to provide an O(Ntot) computational complexity and memory storages for the efficient analysis of electromagnetic radiation/scattering from large phased arrays. Here, Ntot is the total number of unknowns. Numerical results for both printed and free-standing dipole arrays are presented to validate the algorithm's efficiency and accuracy

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“…The DFT-based acceleration algorithm is actually well-suited for the fast and accurate analysis of rectangular arrays (freestanding and printed) [13][14][15]. Therefore, to implement this algorithm efficiently, the arrays shown in Figure 1 are mathematically extended into a rectangular array with virtual elements as shown in Figure 3.…”

Section: Dft-based Acceleration Algorithmmentioning

confidence: 99%

“…In recent years, several MoM-based methods have been proposed to improve the operational count and memory-storage requirements of the conventional MoM [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Making use of stationary or nonstationary iterative schemes in the MoM solution reduces the operational count from O(N tot 3 ) (of order N tot 3 ) to O(N tot 2 ), where N tot is the total number of unknowns.…”

Section: Introductionmentioning

confidence: 99%

Extension of forward backward method with DFT based acceleration algorithm for the efficient analysis of large periodic arrays with arbitrary boundaries

Çivi

Chou²,

Ertürk³

IEEE Antennas and Propagation Society International Symposium. Digest. Held in Conjunction With: USNC/CNC/URSI North American R

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approaches a constant maximum value for tapers longer than 15 mm. CONCLUSIONPlanar transmission-line impedance transformers with an unconventional multilayered structure obtained by deposition of highdielectric-constant thin films on bulk substrates have been designed and their performance have been compared to those of transformers printed on very high-dielectric-constant ( r ϭ 80) bulk substrates. The propagation characteristics of the tapered lines were investigated using the finite-element method through a commercially available software package. The dispersion effects and impedance variation with respect to frequency were taken into account in the analysis. The response of the proposed structure does not deteriorate significantly with frequency, thus allowing operation in an acceptable range up to 40 GHz. The investigation of the propagation characteristics of short electrical pulses on the unconventional multilayered structure and on very high-dielectricconstant bulk-substrate tapers was carried out, confirming the better performance of the proposed structure. The propagation of very short pulses without substantial distortion was verified. Finally, the effects of the multilayered taper length on the performance were assessed.The newly proposed multilayered structure presented attractive results. The achieved effective dielectric constant is very high, whereas the structure has very low dispersion, thus allowing the construction of compact high-frequency devices. The lines have both simple cross sections and comfortable transversal dimensions for a wide range of impedances, thus leading to less expensive manufacture. The results obtained thus far indicate that this structure may be suitable for many other applications in microwave components. ACKNOWLEDGMENTThis work was supported by the Research and Development Center, Ericsson Telecomunicações S.A., Brazil. [7], and hybrid approaches to reduce the total number of unknowns such as a hybrid combination of MoM with either uniform geometrical theory of diffraction (UTD) [8 -10] or discrete Fourier transform (DFT) [11,12] are useful techniques that are available in the literature.Recently, a DFT-based acceleration algorithm [13] was used in conjunction with stationary (for example, the forward-backward method (FBM)) and nonstationary (for example, biconjugate gradient stabilized method (BiCGSTABM)) iterative MoM (IMoM) [14,15] to reduce the computational complexity and memory storage of the IMoM solution to O(N tot ) in the analysis of electrically large, planar, periodic, rectangular, finite phased arrays of both freestanding and printed dipoles. In this approach (DFTIMoM), contributions to every receiving element in the array are coming from two different regions: namely, the strong region formed by the nearby elements of the receiving element whose contributions are calculated in an element-by-element fashion, and the weak region formed by the rest of the array elements whose contributions are obtained from the DFT representation of the entire current di...

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Implementation of a Forward-Backward Procedure for the Fast Analysis of Electromagnetic Radiation/Scattering From Two-Dimensional Large Phased Arrays

Cited by 13 publications

References 17 publications

Analysis of Complex Antenna Around Electrically Large Platform Using Iterative Vector Fields and Utd Method

Analysis of Complex Antenna Around Electrically Large Platform Using Iterative Vector Fields and Utd Method

Efficient analysis of large phased arrays using iterative MoM with DFT‐based acceleration algorithm

Extension of forward backward method with DFT based acceleration algorithm for the efficient analysis of large periodic arrays with arbitrary boundaries

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