A new finite element formulation for RF scattering by complex bodies of revolution

Khebir, A.; D’Angelo, John P.; Joseph, J.

doi:10.1109/8.222272

Cited by 19 publications

(10 citation statements)

References 20 publications

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“…This is very inefficient for an elongated scatterer. Approximate mesh truncation schemes are COMPUTATION OF THE RCS OF A BOR USING FEM 149 also found in the literature (Gordon and Mittra, 1990;Khebir et al, 1993). These require the mesh boundary to be placed far from the scatterer, and may require a spherical boundary or an increase in the FEM matrix bandwidth for accurate implementation.…”

Section: Introductionmentioning

confidence: 99%

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Computation of the RCS of a Complex BOR Using FEM with Coupled Azimuth Potentials and PML

Greenwood

Jin²

1999

Electromagnetics

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An efficient finite element method ( E M ) to compute scattering from a complex body of revolution (BOR) is discussed. The BOR is composed of perfect conductor and impedance surfaces and arbitrary inhomogeneous materials. The FEM equations are developed using the coupled azimuth potential (CAP) formulation. The FEM mesh is truncated with a perfectly matched layer (PML) in cylindrical coordinates. The use of PML in cylindrical coordinates avoids the wasted compulation which results from a spherical mesh boundary with an elongated scatterer. The FEM equations are solved by ordering the unknowns with a reverse Cuthill-McKee algorithm and applying a banded-matrix solution algorithm. Numerical results are presented and compared to exact results and measurements and to results from a previous FEM algorithm which uses edge-based vector basis functions to expand the transverse field components and node-based scalar basis functions lo expand the angular component. Problems associated with the CAP formulation are discussed and demonstrated through numerical examples.

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Section: Introductionmentioning

confidence: 99%

“…One simple formulation is derived by expanding each component of either the electric or the magnetic field using scalar, nodal basis functions (Khebir et al, 1993). This formulation is known as the three-component, nodebased formulation.…”

Section: Introductionmentioning

confidence: 99%

Computation of the RCS of a Complex BOR Using FEM with Coupled Azimuth Potentials and PML

Greenwood

Jin²

1999

Electromagnetics

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“…This reduction will dramatically lower computational costs and allow one to solve very large BOR problems with moderate expense. The BOR problems can also be solved using different methods, such as finite element method (FEM), finite difference time domain (FDTD) or some hybrid methods, and many papers have addressed the solution techniques for various BOR structures [ Khebir et al , 1993; Greenwood and Jin , 1999; Dunn et al , 2006; Mittra and Gordon , 1989; Sun and Rusch , 1994; Yang and Hesthaven , 1999; van der Vorst and de Maagt , 2002; Medgyesi‐Mitschang and Wang , 1983; Gedney and Mittra , 1990; Altman and Mittra , 1996].…”

Section: Introductionmentioning

confidence: 99%

Evaluation of singular Fourier coefficients in solving electromagnetic scattering by body of revolution

Tong

Chew

2008

Radio Science

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[1] We develop an efficient evaluation scheme for the singular Fourier coefficients in solving electromagnetic scattering by body of revolution (BOR). For the singular modal Green's function (MGF), the scheme first evaluates the integrals over generating arc segments analytically and then distinguishes the singular part from the regular part for the integral over the angle in the revolution direction. This allows us to avoid the approximate calculation for the elliptical integral and the separated singular part is exactly evaluated in a closed form. For the singular MGF's derivatives generated from the gradient of the Green's function, we subtract the kernels with more similar singular integrands in the vicinity of singularity so that the kernels are better regularized. The procedure differs from the existent Glisson's method in several aspects and numerical experiments show that the scheme is simpler in implementation and more efficient for calculation.

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“…(2) We will see in the sequel that these conditions are necessary to compensate the l/r singularity which will occur when the curl of the field is taken.…”

Section: Introductionmentioning

confidence: 98%

“…We choose here to apply a Finite element method (FEM) with edge elements enabling a robust analysis of complex inhomogeneous structures. In the past, the FEM for axisymmetrical bodies was based mainly on the coupled azimuthal potentials [ l ] or the double curl equation [2] with the use of nodal elements. In these previous works, the treatment of an artificial singularity on the axis due to the curl expression in a cylindrical coordinate system has never been clearly pointed out.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric edge-based finite element formulation for bodies of revolution: application to dielectric resonators

Wong¹,

Prak²,

Hanna³

Proceedings of 1995 IEEE MTT-S International Microwave Symposium

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This paper stresses on the treatment of bodies of revolution by the finite element method ( E M ) with edge elements. It clearly states an inherent difficulty on the axis of rotation specially when considering the first azimuthal mode. We propose a formulation which is not a straightforward application of standard edge elements in FEM. It takes explicitly into account a not very well known axis condition with the help of an axisymmetricaldesigned edge element. Results on dielectric resonators are given and compared to measurement and to calculations from a 3D edge-based FEM code.

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A new finite element formulation for RF scattering by complex bodies of revolution

Cited by 19 publications

References 20 publications

Computation of the RCS of a Complex BOR Using FEM with Coupled Azimuth Potentials and PML

Computation of the RCS of a Complex BOR Using FEM with Coupled Azimuth Potentials and PML

Evaluation of singular Fourier coefficients in solving electromagnetic scattering by body of revolution

Axisymmetric edge-based finite element formulation for bodies of revolution: application to dielectric resonators

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