TE scattering from a conducting cylinder of arbitrary cross-section covered by multiple layers of lossy dielectrics

Arvas, E.; Qian, Y.; Sarkar, Tapan K.; Aslan, F.

doi:10.1049/ip-h-2.1989.0078

Cited by 15 publications

(5 citation statements)

References 10 publications

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“…The divergence-conforming choice is especially advantageous for the computation of the impedance matrix because of the cancellation of the hypersingular Kernel contributions. In practice, these schemes can be extended naturally to the scattering analysis of composite objects, made up of different homogeneous regions, PEC or penetrable, as long as there are no junctions, such as, for example, coated metallic objects or multilayered penetrable structures [15] [16]. Junctions stand for boundary lines where more than two regions intersect [17]- [19].…”

Section: Introductionmentioning

confidence: 99%

Versatile and Accurate Schemes of Discretization in the Scattering Analysis of 2-D Composite Objects With Penetrable or Perfectly Conducting Regions

Sekulić

Úbeda

Rius

2017

IEEE Trans. Antennas Propagat.

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Abstract-The Method-of-Moment (MoM) discretization of boundary integral equations in the scattering analysis of closed infinitely long (2D) objects, perfectly conducting or penetrable, is traditionally carried out with continuous piecewise linear basis functions, which embrace pairs of adjacent segments. This is numerically advantageous because the discretization of the transversal component of the scattered fields, electric (TE) or magnetic (TM), becomes free from hypersingular Kernel contributions. In the analysis of composite objects, though, the imposition of the continuity requirement around junction nodes, where the boundaries of several regions intersect, becomes especially awkward. In this paper, we present, for the scattering analysis of composite objects, a new combined discretization of the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) integral equation, for homogeneous dielectric regions, and the Electric-Field Integral Equation (EFIE), for perfectly conducting regions, such that the basis functions are defined strictly on each segment, with no continuity constraint between adjacent segments. We show the improved observed accuracy with the proposed TE-PMCHWT implementation on several dielectric objects with sharp edges and corners and moderate or high contrasts. Furthermore, we illustrate the versatility of these schemes in the analysis of 2D composite piecewise homogeneous objects without sacrificing accuracy with respect to the conventional implementations.

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Section: Introductionmentioning

confidence: 99%

Versatile and Accurate Schemes of Discretization in the Scattering Analysis of 2-D Composite Objects With Penetrable or Perfectly Conducting Regions

Sekulić

Úbeda

Rius

2017

IEEE Trans. Antennas Propagat.

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“…III, i.e., Eqs. (15) and (16), for the field E p over the surfaces S þ p and S À pÀ1 . We obtain the same integral equations in (19) and (20) after performing the following changes:…”

Section: Sief-h For a Two-layer Coatingmentioning

confidence: 99%

“…Among these formulations are the SIE formulation using the electric field integral equation, 13,14 the SIE formulation using the magnetic field integral equation, 14,15 the PMCHWT formulation, [16][17][18][19] and the M€ uller formulation. 20 In this work, the problem of electromagnetic scattering by a perfectly electric conducting (PEC) cylinder coated with multilayers of homogeneous materials is analyzed using the SIE.…”

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confidence: 99%

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A surface integral equation formulation for electromagnetic scattering from a conducting cylinder coated with multilayers of homogeneous materials

Sakr

Soliman

Abdelmageed

2014

Journal of Applied Physics

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A surface integral equation formulation is presented for electromagnetic scattering by a conducting cylinder coated with multilayers of homogeneous materials. Each layer may have a nonunity relative permittivity and permeability. Both the TM and TE polarizations are considered. The surface equivalence principle is utilized to model the problem where each layer is replaced by equivalent surface currents residing on the enclosing boundaries. A systematic procedure is developed to generate a set of coupled integral equations for an arbitrary number of layers. The method of moments is invoked to convert these equations into a sparse matrix equation which can be solved using sparse matrix routines. Numerical results are presented to demonstrate the accuracy and efficiency of the proposed method. The performance of the method is compared with that of the volume-surface integral equation formulation where a great saving in memory storage and computation time is achieved. V C 2014 AIP Publishing LLC.

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“…The well-established conforming scattering analysis for single homogeneous objects can be extended straightforwardly to composite objects without junctions, such as coated metallic objects or multilayered penetrable structures [17], [18]. However, the development of conforming schemes for composite objects with junctions, viz.…”

Section: Introductionmentioning

confidence: 99%

Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects

Sekulić

Úbeda

Rius

2018

Journal of Computational Physics

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The discretization by the method of moments (MoM) of integral equations in the electromagnetic scattering analysis most often relies on divergence-conforming basis functions, such as the Rao-Wilton-Glisson (RWG) set, which preserve the normal continuity of the expanded currents across the edges arising from the discretization of the target boundary. Although for such schemes the boundary integrals become free from hypersingular kernel-contributions, which is numerically advantageous, their practical implementation in real-life scenarios becomes particularly cumbersome. Indeed, the application of the normal continuity condition on composite objects becomes elaborate and convoluted at junction-edges, where several regions intersect. Also, such edge-based schemes cannot even be applied to nonconformal meshes, where adjacent facets may not share single matching edges. In this paper, we present nonconforming schemes of discretization for the scattering analysis of complex objects based on the expansion of the boundary unknowns, electric or magnetic currents, with the facet-based monopolar-RWG set. We show with examples how these schemes exhibit great flexibility when handling composite piecewise homogeneous objects with junctions or targets modelled with nonconformal meshes. Furthermore, these schemes offer improved near-and far-field accuracy in the scattering analysis of electrically small single sharp-edged dielectric targets with moderate or high dielectric contrasts.

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TE scattering from a conducting cylinder of arbitrary cross-section covered by multiple layers of lossy dielectrics

Cited by 15 publications

References 10 publications

Versatile and Accurate Schemes of Discretization in the Scattering Analysis of 2-D Composite Objects With Penetrable or Perfectly Conducting Regions

Versatile and Accurate Schemes of Discretization in the Scattering Analysis of 2-D Composite Objects With Penetrable or Perfectly Conducting Regions

A surface integral equation formulation for electromagnetic scattering from a conducting cylinder coated with multilayers of homogeneous materials

Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects

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