A hybrid spectral/spatial method to evaluate the active Green's function of large planar rectangular arrays: a combined asymptotic/numerical algorithm

Mariottini, F.; Cucini, A.; Maci, S.

doi:10.1109/tap.2006.869903

Cited by 9 publications

(6 citation statements)

References 20 publications

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“…Galerkin's procedure leads to the matrix equations:Z mn .I mn =Ṽ mn (6) WhereZ mn is the mutual impedance coefficient between testing and basis functions. The matrix entries of MoM can be expressed as:…”

Section: Spectral-domain Methods Of Momentsmentioning

confidence: 99%

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Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Essid¹,

Salah²,

Kochlef³

et al. 2009

PIER Letters

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Abstract-In this paper, we present an efficient hybrid spatialspectral formulation of the method of moment (MoM) in conjunction with the Mixed-Potential Integral Equation (MPIE) for planar circuit analysis. This method is based on the decomposition of the Green's functions in two parts: quasi-static in the near field region and the dynamic contribution in the far field region. Using this decomposition of Green's functions, the method of moment matrix entries can be reduced to a sum of two integrals. The first one is expressed in the spatial field and corresponds to the quasi-static contribution. It is analytically evaluated after a development in Taylor series of the exponential terms in the function to be integrated. The integrals expressed in the spectral field and corresponding to the dynamic part have the advantage of being calculated on a finite range and this is independent of the choice of the basis and test functions. The integrals expressed in the spectral field are performed by using numerical integration. It is also demonstrated that this hybrid method has accelerated the matrix fill in time by using a Fast Fourier Transform (FFT) algorithm. In order to validate the proposed method, numerical results are presented.

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Section: Spectral-domain Methods Of Momentsmentioning

confidence: 99%

“…This technique has been implemented recently in the literature [5,6]. In [6], the authors have presented a hybrid formulation for the electric field and they used it to evaluate the array Green's function (AGF).…”

Section: Introductionmentioning

confidence: 99%

Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Essid¹,

Salah²,

Kochlef³

et al. 2009

PIER Letters

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“…This space domain conversion leads to a contribution which is shaped as a free-space scalar Green's function. The summation over individual dipoles N n=0 g 0,n can be thus treated by the formulation presented in [8] for rectangular array and by the formulation developed in [9] for arbitrary contoured domain. The outcome of this process leads to an infinite array contribution similar to that in free-space ( +∞ n=−∞ g 0,n ) plus diffraction contributions from the array contour ( j D j ).…”

Section: Mom-oriented Agf Formulationmentioning

confidence: 99%

“…When the observation point is close to one of the array truncations (see region around borders in Fig. 1), the integral is solved through an appropriate numerical technique [8]; otherwise an asymptotic evaluation is sufficiently accurate and time saving. In Fig.…”

Section: Mom-oriented Agf Formulationmentioning

confidence: 99%

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Use of advanced truncated-array Green’s function in MoM analysis of large finite arrays

Polemi

Vipiana

Mariottini

et al. 2007

2007 19th International Conference on Applied Electromagnetics and Communications

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This paper illustrates the application into the MoM technique of a clever formulation to evaluate the array Green's function (AGF) of large finite planar phased array. The procedure is based on the AGF representation in terms of a double spectral integral, whose integration paths are properly deformed to have an exponential attenuation of the integrand. The diffraction integral is evaluated numerically for point close to the array edges while an asymptotic treatment is proposed far from the edges. This latter comprises higher order contributions. Thanks to this convergence properties, the final algorithm is numerically accurate, stable and more efficient with respect to the individual element summation for large arrays. This AGF is then inserted into the MoM scheme, where the reactions are calculated between two basic cells ("cell on cell"). Each cell includes the radiating element, which is still meshed by using RWG basis function. This procedure allows a reduction of complexity either in filling the MoM matrix or in solving the system.

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A review on array mutual coupling analysis

2011

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An overview about mutual coupling analysis in antenna arrays is given. The relationships between array impedance matrix and embedded element patterns, including beam coupling factors, are reviewed while considering general‐type antennas; approximations resulting from single‐mode assumptions are pointed out. For regular arrays, a common Fourier‐based formalism is employed, with the array scanning method as a key tool, to explain various phenomena and analysis methods. Relationships between finite and infinite arrays are described at the physical level, as well as from the point of view of numerical analysis, considering mainly the method of moments. Noise coupling is also briefly reviewed.

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A hybrid spectral/spatial method to evaluate the active Green's function of large planar rectangular arrays: a combined asymptotic/numerical algorithm

Cited by 9 publications

References 20 publications

Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Use of advanced truncated-array Green’s function in MoM analysis of large finite arrays

A review on array mutual coupling analysis

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A hybrid spectral/spatial method to evaluate the active Green's function of large planar rectangular arrays: a combined asymptotic/numerical algorithm

Cited by 9 publications

References 20 publications

Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Spatial-Spectral Formulation of Method of Moment for Rigorous Analysis of Microstrip Structures

Use of advanced truncated-array Green&#x2019;s function in MoM analysis of large finite arrays

A review on array mutual coupling analysis

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Product

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Use of advanced truncated-array Green’s function in MoM analysis of large finite arrays