A hybrid MoM solution of scattering from finite arrays of cylindrical cavities in a ground plane

Villegas, F.J.; Rahmat‐Samii, Y.; Jackson, David R.

doi:10.1109/tap.2003.817631

Cited by 3 publications

(2 citation statements)

References 29 publications

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“…The aperture, in turn, can be stimulated, for one, by a wave travelling in the cylinder interior. In this case, the equivalence principle [3] allows the aperture modeling as two sheets of oppositely directed magnetic currents placed in the aperture proximity on both sides of it [4]. The integral equation of the magnetic current on the aperture surface is formulated, and the space Green's function for the sheet magnetic current plays the key part there.…”

Section: Introductionmentioning

confidence: 99%

Mixed-Potential Green's Function of an Axially Symmetric Sheet Magnetic Current on a Circular Cylindrical Metal Surface

Svezhentsev¹

2006

PIER

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Abstract-An effective approach is suggested for calculating the Green's function of an axially symmetric sheet magnetic current placed on a circular cylindrical metal surface. Upon improving convergence of the available Fourier transform, it has been possible to explicitly develop the Green's function logarithmic singularity at the source. Also, the Green's function behavior at the branch point in the spectral domain has been considered, ending up with the singularity extraction in the space domain. It is shown that this branch point singularity (pole) corresponds to the cylindrical quasi-TEM mode of the cylinder exterior. Finally, the rest of the Green's function is effectively numerically calculated.

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Section: Introductionmentioning

confidence: 99%

Mixed-Potential Green's Function of an Axially Symmetric Sheet Magnetic Current on a Circular Cylindrical Metal Surface

Svezhentsev¹

2006

PIER

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“…The apertures of antennas of this type can be excited by, e.g., a rectangular waveguide located inside a circular empty metal cylinder [1,2]. In this case, based on the equivalence principle [3], the aperture can be simulated by two sheets of oppositely directed magnetic surface currents located in the vicinity of the aperture on its both sides [4]. Then an integral equation for the magnetic surface current on the aperture can be formulated.…”

Section: Introductionmentioning

confidence: 99%

Efficient Evaluation of the Green's Function for an Array of Magnetic-Current Sheets Periodically Located on the Surface of a Metal Cylinder

Svezhentsev

2005

Radiophys Quantum Electron

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We propose an effective method for calculating the Green's function of an array of identical magnetic-current sheets periodically located on the surface of a circular metal cylinder. The idea of our approach consists in that we explicitly isolate the field singularity at the source by improving the convergence in the Green's function representation. As a result, the residual part of the Green's function can efficiently be calculated numerically. We present numerical results showing the behavior of the Green's function.

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Scattering characteristics of finite arrays of cylindrical cavities in an infinite ground plane

Villegas

Rahmat‐Samii

Jackson

2003

IEEE Trans. Antennas Propagat.

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In this paper, we investigate the scattering characteristics of finite one-dimensional (1-D) and two-dimensional arrays of cylindrical cavities embedded within an infinite perfect electric conducting ground plane. Fundamental radar cross-section (RCS) features of said arrays are illustrated, with the RCS computed with respect to the scattered (diffracted) field component, obtained directly from the aperture currents. The aperture currents on the finite structure are computed using a hybrid space/spectral-domain MoM formulation. The complete set of (TE,TM) cylindrical eigenmodes are used to represent the unknowns. The formulation is quite versatile and efficient, allowing us to include planar stratification and dissimilar cavity depths/radii in the geometry. Several rather interesting results and applications are illustrated. The dependence of the current distribution on the source polarization is shown for the canonical cavity. Three-dimensional plots of the RCS signature of a 1-D finite array illustrate the unique radiation characteristics of such structures, e.g., the constant-directivity surfaces form cones about the array axis in 3-D space. The effects of a superstrate layer on the radiation behavior of a 2-D finite array are also shown. We find that the layer can in fact either enhance or diminish the radiation, depending on the source polarization. It also tends to reduce endfire radiation in all cases. The scattering signature of large finite arrays is computed approximately by the introduction of an active element factor defined specifically for scattering problems. Using the MoM solution of a reduced window array, we obtain the far-field patterns of larger structures by a simple computation of the array factor. An improvement to this approximation makes use of an exterior equivalent source, which models the localized edge effects. Finally, the use of nonuniform arrays for sidelobe suppression and 2-D "masked" structures is illustrated.

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A hybrid MoM solution of scattering from finite arrays of cylindrical cavities in a ground plane

Cited by 3 publications

References 29 publications

Mixed-Potential Green's Function of an Axially Symmetric Sheet Magnetic Current on a Circular Cylindrical Metal Surface

Mixed-Potential Green's Function of an Axially Symmetric Sheet Magnetic Current on a Circular Cylindrical Metal Surface

Efficient Evaluation of the Green's Function for an Array of Magnetic-Current Sheets Periodically Located on the Surface of a Metal Cylinder

Scattering characteristics of finite arrays of cylindrical cavities in an infinite ground plane

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