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

Ertürk, Vakur B.; Chou, Hsi‐Tseng

doi:10.1002/mop.11136

Cited by 6 publications

(16 citation statements)

References 15 publications

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“…3(b) show the magnitude of the reflection coefficient [defined in (7)] versus scan angle in the E-and H-planes, respectively. The arrays are 11 11 -and -directed printed dipoles on a coated cylinder with . These results are also compared with those of a planar array (of -directed dipoles) with the same parameters ( , number of elements, etc.).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Once the active element pattern is determined, the active element gain of the th element is calculated as (10) where is the power delivered to the th element given by (11) and is the free-space intrinsic impedance. Finally, the majority of the numerical results for both cylindrical and planar arrays are given in the principle planes, namely, the E-and H-planes.…”

Section: Other Definitions and Far-field Patternsmentioning

confidence: 99%

“…Therefore, several design tools and numerical techniques have been developed and implemented in CAD packages for the design and analysis of planar printed finite and infinite arrays [3]- [11]. Lately, many commercial (e.g., mobile base stations, transmitters and receivers for multi-input multi-output (MIMO) systems), military (e.g., airborne, missile borne arrays) as well as some biomedical applications require phased arrays that conform to curved host platforms.…”

Section: Introductionmentioning

confidence: 99%

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Scan Blindness Phenomenon in Conformal Finite Phased Arrays of Printed Dipoles

Ertürk

Bakir

Rojas

et al. 2006

IEEE Trans. Antennas Propagat.

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Abstract-Scan blindness phenomenon for finite phased arrays of printed dipoles on material coated, electrically large circular cylinders is investigated. Effects on the scan blindness mechanism of several array and supporting structure parameters, including curvature effects, are observed and discussed. A full-wave solution, based on a hybrid method of moments/Green's function technique in the spatial domain, is used to achieve the aforementioned goals. Numerical results show that the curvature affects the surface waves and hence the mutual coupling between array elements. As a result, the array current distribution of arrays mounted on coated cylinders are considerably different compared to similar arrays on planar platforms. Therefore, finite phased arrays of printed dipoles on coated cylinders show different behavior in terms of scan blindness phenomenon compared to their planar counterparts. Furthermore, this phenomenon is completely different for axially and circumferentially oriented printed dipoles on coated cylinders suggesting that particular element types might be important for cylindrical arrays.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Section: Other Definitions and Far-field Patternsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Scan Blindness Phenomenon in Conformal Finite Phased Arrays of Printed Dipoles

Ertürk

Bakir

Rojas

et al. 2006

IEEE Trans. Antennas Propagat.

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“…1(a) and [11,13,15]), whereas it is piecewise sinusoidal (PWS) for the printed dipole arrays (see Fig. 1(b) and [12,14,15]). It should be mentioned at this point that using more than one basis function per dipole does not change the formulation but improves the accuracy.…”

mentioning

confidence: 96%

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

Çivi

Ertürk

Chou

2005

Microw. Opt. Technol. Lett.

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An extension of the discrete Fourier transform (DFT)-based forward-backward algorithm is developed using the virtual-element approach to provide a fast and accurate analysis of electromagnetic radiation/scattering from electrically large, planar, periodic, finite (phased) arrays with arbitrary boundaries. Both the computational complexity and storage requirements of this approach are O(Ntot) (Ntot is the total number of unknowns). The numerical results for both printed and freestanding dipole arrays with circular and/or elliptical boundaries are presented to validate the efficiency and accuracy of this approach. © 2005 Wiley Periodicals, Inc

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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%

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

Cited by 6 publications

References 15 publications

Scan Blindness Phenomenon in Conformal Finite Phased Arrays of Printed Dipoles

Scan Blindness Phenomenon in Conformal Finite Phased Arrays of Printed Dipoles

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

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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