Numerical evaluation of dyadic diffraction coefficients and bistatic radar cross sections for a perfectly conducting semi-infinite elliptic cone

Blume, S.; Krebs, Verena

doi:10.1109/8.662661

Cited by 20 publications

(8 citation statements)

References 10 publications

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“…However, the outwardly traveling spherical waves do also include a part of the incident plane wave, in particular, they contain the transmitted field. These singular parts influence the behavior of the resulting series at all other directions as well, and nonlinear series summation techniques had to be applied to come to stable solutions with the disadvantage that the consistency of such nonlinear methods have not be proven for the cases in question [ Blume and Krebs , 1998].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic scattering by semi‐infinite circular and elliptic cones

Klinkenbusch

2007

Radio Science

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[1] The scattering of a plane electromagnetic wave by a perfectly conducting semi-infinite cone with an elliptic or a circular cross section is treated by means of a multipole analysis in sphero-conal coordinates, in which the elliptic (including the circular) cone is one of the coordinate surfaces. Starting from the dyadic Green's function of the elliptic cone given in terms of periodic and nonperiodic Lamé functions, first the exact surface current on the cone is obtained. This surface current is the source of the scattered far field which is completely analytically found by means of the dyadic Green's function of the free space in sphero-conal coordinates. The finally obtained infinite series do not converge by a straight-forward summing-up procedure; however, a simple linear (consistent) sequence transformation technique is sufficient to come to stable and physically correct asymptotic results.

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Section: Introductionmentioning

confidence: 99%

Electromagnetic scattering by semi‐infinite circular and elliptic cones

Klinkenbusch

2007

Radio Science

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“…By using the approximation (8) in the exact expression (6) we obtain the approximate integral expression for the pyramid diffracted field (12) which is suitable for its asymptotic evaluation.…”

Section: Scalar Formulationmentioning

confidence: 99%

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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“…Using the PO approximation, the magnetic field incident on the second-order diffraction point can be expressed as (5) where is the FW current diffracted by the first edge at . Using (5) in (4), the double-diffracted FW current at point P can be expressed in terms of the first-order FW currents as (6) It is noted that the first-order diffracted current introduces a normal component to the edge along edge 2. Using (6), it can be shown that this component is canceled by the introduction of the second-order diffracted current.…”

Section: Current Density On the Plane Angular Sectormentioning

confidence: 99%

“…This procedure is based on using Euler's sequence transformation to accelerate the convergence of the infinite series of eigenfunction expansions. Blume and Krebs [5] approach to derive dyadic diffraction coefficients at the tip of an elliptic cone for nose-on incidence. The same problem was solved by Babich et al [6] through numerical evaluation of the Fredholm integral equation that is obtained by combining the soft and hard boundary conditions on the surface of the cone [7].…”

Section: Introductionmentioning

confidence: 99%

Vertex Diffracted Edge Waves on a Perfectly Conducting Plane Angular Sector

Ozturk

Paknys

Trueman

2011

IEEE Trans. Antennas Propagat.

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Numerical diffraction coefficients are presented for vertex-diffracted edge waves induced on an infinitely-thin, perfectly conducting, semi-infinite plane angular sector. The current density on the surface of the plane angular sector is modeled using the physical theory of diffraction (PTD). The vertex-diffracted currents are defined as the difference between the exact and the PTD currents. The difference current is then modeled as a wave traveling away from the corner with unknown amplitude and phase factors. The unknown coefficients for the vertex-diffracted currents are calculated by using a least squares fit approximation. The vertex-diffracted currents are successfully modeled even for narrow angular sectors. The vertex-diffracted currents provide a substantial improvement to the accuracy of RCS patterns in off-specular directions.

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Numerical evaluation of dyadic diffraction coefficients and bistatic radar cross sections for a perfectly conducting semi-infinite elliptic cone

Cited by 20 publications

References 10 publications

Electromagnetic scattering by semi‐infinite circular and elliptic cones

Electromagnetic scattering by semi‐infinite circular and elliptic cones

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

Vertex Diffracted Edge Waves on a Perfectly Conducting Plane Angular Sector

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