Comments on "First-order equivalent current and corner diffraction scattering from flat plate structures"

Michaeli, A.

doi:10.1109/tap.1984.1143436

Cited by 10 publications

(16 citation statements)

References 3 publications

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“…Its arguments in (22) are defined as (25) and (26) where is the integer that nearest satisfies (27) A simple algorithm for the numerical computation of (24) is suggested in [28]. The distance parameters defined in (26) are strictly related to the arguments of the UTD Fresnel transition functions of the wedge diffracted field defined in [1], and reduce to them on the SBC where .…”

Section: A Uniform Asymptotic Evaluationmentioning

confidence: 99%

“…Approaching this SBC, one has , therefore the distance parameter defined in (25) , the transition function reduces to (29) where is the UTD Fresnel transition function [1]. Furthermore, when , in (23) the Rubinowicz parameter , and one has in (22), which is equal to the UTD angular function reported in [1].…”

Section: B In Transition Behaviormentioning

confidence: 99%

“…The pioneering work [18], which is still widely applied, heuristically describe the vertex diffracted ray transitions simply using products of UTD transition functions (Fresnel functions). This approach, despite its simplicity does not reproduce the correct transitional behavior as highlighted in [25]. Therefore, other solutions ( [19], [20]) were developed by using the generalized Fresnel integral (GFI) [26]- [28] as a special function describing the vertex ray transition.…”

Section: Introductionmentioning

confidence: 99%

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UTD Vertex Diffraction Coefficient for the Scattering by Perfectly Conducting Faceted Structures

Albani

Capolino

Carluccio

et al. 2009

IEEE Trans. Antennas Propagat.

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Abstract-A uniform high-frequency description is presented for vertex (tip) diffraction at the tip of a pyramid, for source and observation points at finite distance from the tip. This provides an effective engineering tool able to describe the field scattered by a perfectly conducting faceted structure made by interconnected flat plates within a uniform theory of diffraction (UTD) framework. Despite the adopted approximation, the proposed closed form expression for the vertex diffracted ray is able to compensate for the discontinuities of the field predicted by standard UTD, i.e., geometrical optics combined with the UTD wedge diffracted rays. The present formulation leads to a uniform first order asymptotic field in all the transition regions of the tip diffracted field. The final analytical expression is cast in a UTD framework by introducing appropriate transition functions containing Generalized Fresnel Integrals. The effectiveness and accuracy of the solution is checked both through analytical limits and by comparison with numerical results provided by a full wave method of moments analysis.Index Terms-Asymptotic diffraction theory, geometrical theory of diffraction, radar cross section (RCS), scattering, uniform theory of diffraction (UTD), vertex diffraction.

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Section: A Uniform Asymptotic Evaluationmentioning

confidence: 99%

Section: B In Transition Behaviormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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UTD Vertex Diffraction Coefficient for the Scattering by Perfectly Conducting Faceted Structures

Albani

Capolino

Carluccio

et al. 2009

IEEE Trans. Antennas Propagat.

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“…The canonical problem of the plane angular sector was solved by Satterwhite and Kouyoumjian [3,4], but the series expansion of the solution is hard to compute and not well-suited for a practical asymptotic evaluation. Most of the literature on this topic presents formulations based on numerical or hybrid techniques [5][6][7] or on approximate, high-frequency methods [8][9][10][11][12][13]. In particular, a heuristic corner diffraction coefficient was conjectured in [8]; however, although it provided surprisingly good results in certain specific examples, its general applicability may be questionable [9].…”

Section: Introductionmentioning

confidence: 99%

“…Most of the literature on this topic presents formulations based on numerical or hybrid techniques [5][6][7] or on approximate, high-frequency methods [8][9][10][11][12][13]. In particular, a heuristic corner diffraction coefficient was conjectured in [8]; however, although it provided surprisingly good results in certain specific examples, its general applicability may be questionable [9]. First order vertex diffraction coefficients were presented in [10], which are formulated in order to compensate the UTD discontinuity, and do not include second order interaction between edges.…”

Section: Introductionmentioning

confidence: 99%

Uniform high-frequency description of singly, doubly, and vertex diffracted rays for a plane angular sector

Capolino

Maci

1996

Journal of Electromagnetic Waves and Applications

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Numerical consideration and some improvement of corner diffraction formulas applicable to spherical wave incidence

Higa¹,

Uchikawa²,

Inagaki³

et al. 1995

Electron Comm Jpn Pt II

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Diffraction by a corner is one of the canonical problems remaining unsolved. However, several practical formulas have been proposed; any one of which must be able to be incorporated in the geometrical theory of diffraction (GTD). Of these, the corner diffraction formulas that can be applied to the spherical wave incidence are Burnside‐Pathak's formula (BP formula) and Zhang's formula (Z formula). In this paper, the BP formula and the Z formula are numerically compared by means of a hypothetical model consisting of a quarter infinite plane and an infinitesimal dipole. It is found that the BP formula and the Z formula become similar as long as they are not applied near the shadow boundary. The BP formula requires the edge parameters in the numerical process despite dealing with the corner diffraction. On the other hand, the Z formula needs only the parameters related to the corner. However, this formula experiences small discontinuity when the shadow boundary is traversed. In this paper, an empirical modification function is introduced into the Z formula so that a new corner diffraction formula (MZ formula) is proposed so that the diffracted field is uniform and continuous across the boundaries.

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Comments on "First-order equivalent current and corner diffraction scattering from flat plate structures"

Cited by 10 publications

References 3 publications

UTD Vertex Diffraction Coefficient for the Scattering by Perfectly Conducting Faceted Structures

UTD Vertex Diffraction Coefficient for the Scattering by Perfectly Conducting Faceted Structures

Uniform high-frequency description of singly, doubly, and vertex diffracted rays for a plane angular sector

Numerical consideration and some improvement of corner diffraction formulas applicable to spherical wave incidence

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