A novel efficient algorithm for scattering from a complex BOR using mixed finite elements and cylindrical PML

Greenwood, Andrew; Jin, Jian‐Ming

doi:10.1109/8.768800

Cited by 61 publications

(48 citation statements)

References 13 publications

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“…For example, the coating material could be nonlinear leading to the permittivity and permeability properties being frequency dependent. The cruise missile we investigated is a body of revolution (BOR) and, thus, for example, the method proposed in [16] could be used to compute the three-dimensional electromagnetic backscattering. Including fins in the model would lead to a general three-dimensional problem which would require a computational methodology such as the finite elements methods considered in [24].…”

Section: Discussionmentioning

confidence: 99%

Determination of Interrogating Frequencies to Maximize Electromagnetic Backscatter from Objects with Material Coatings

Banks¹,

Toivanen²

2005

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The electromagnetic backscattering of a crosscut of a cruise missile coated by a thin homogeneous layer made of radar absorbent material is modeled using a finite element method. Based on the radar cross section and a reflection coefficient, optimization problems are formulated for evaders and interrogators leading to optimal material parameters for the coating and optimal monostatic radar operating frequencies, respectively. Optimal coating materials are constructed for several radar frequencies. Tuning only dielectric permittivity gives a narrow frequency range of high absorption while also tuning magnetic permeability widens it significantly. However the coating layers considered cannot provide substantial reduction of backscattering in the entire frequency range from 0.2 to 1.6 GHz. The computational experiments also demonstrate that the reflection coefficient based on a planar geometry can predict well the strength of radar cross section in the sector of interest.

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Section: Discussionmentioning

confidence: 99%

Determination of Interrogating Frequencies to Maximize Electromagnetic Backscatter from Objects with Material Coatings

Banks¹,

Toivanen²

2005

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“…To take the advantage of the rotational symmetry of the problem, the fields are expanded in the Fourier modes as [18]: Figure 1. The slice of a 3D cloak embedded in N -layered media with ABC.…”

Section: Fem Formulationsmentioning

confidence: 99%

“…When the scatterer is a body of revolution (BOR), the problem can be efficiently solved using a 2D version of FEM by taking advantage of the rotationally symmetrical property [18,19]. Based on such a method, rotational 3D cloaks and other metamaterial devices in free space have been analyzed [20].…”

Section: Introductionmentioning

confidence: 99%

“…In the method, the transverse fields are expanded in terms of second-order edge-based vector basis functions and the azimuth components are expanded using second-order nodal-based scalar basis functions, which yields more accurate solutions since higher order polynomials give a better representation of a field for a given number of unknowns. The FEM mesh is truncated using the absorbing boundary condition, not the PML [18,20]. That is because if PML is used to truncated the FEM mesh, the numerical result shows the computed scattering field expanded with second-order edgebased vector and nodal-based scalar basis functions is instable and singular near the inner boundary of the cloak where the permittivity and permeability of the cloak are singular.…”

Section: Introductionmentioning

confidence: 99%

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Three-Dimensional Axisymmetric Invisibility Cloaks With Arbitrary Shapes in Layered-Medium Background

Zhai¹,

Cui²

2011

PIER B

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Abstract-Three-dimensional (3D) axisymmetric invisibility cloaks with arbitrary shaped in layered-media background are presented using the transformation optics. The inner and outer boundaries of the cloaks can be non-conformal with arbitrary shapes, which considerably improve the flexibility of the cloaking applications. However, such kinds of 3D cloaks cannot be simulated using the commercial softwares due to the tremendous memory requirements and CPU time. By taking advantage of the rotationally symmetrical property, we propose an efficient finite-element method (FEM) to simulate and analyze the 3D cloaks, which can greatly reduce the CPU time and memory requirements. The method is based on the electric-field formulation, in which the transverse fields are expanded in terms of second-order edgebased vector basis functions and the azimuth components are expanded using second-order nodal-based scalar basis functions. The FEM mesh is truncated using the absorbing boundary condition. Excellent cloaking performance of the 3D cloaks in layered-media background has been verified by the proposed method.

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“…Because of the symmetry of the geometry, only the generatrix that forms the surfaces of the PEC part and dielectric part are needed for solving the BOR problem in a surface integral equation formulation [1][2][3][4][5][6]. Similarly, only the meridian cross section is needed for solving the BOR problem with the finite element method (FEM) [7][8][9]. Both the memory requirement and CPU time in BOR solvers are reduced compared with full three-dimensional methods.…”

Section: Introductionmentioning

confidence: 99%

Fast Inhomogeneous Plane Wave Algorithm for Analysis of Composite Bodies of Revolution

Rui¹,

Hu²,

Liu³

2010

PIER

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Abstract-A fast inhomogeneous plane wave algorithm is developed for the electromagnetic scattering problem from the composite bodies of revolution (BOR). Poggio-Miller-Chang-Harrington-Wu (PMCHW) approach is used for the homogeneous dielectric objects, while the electric field integral equation (EFIE) is used for the perfect electric conducting objects. The aggregation and disaggregation factors can be expressed analytically by using the Weyl identity. Compared with the traditional method of moments (MoM), both the memory requirement and CPU time, are reduced for large-scale composite BOR problems. Numerical results are given to demonstrate the validity and the efficiency of the proposed method.

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A novel efficient algorithm for scattering from a complex BOR using mixed finite elements and cylindrical PML

Cited by 61 publications

References 13 publications

Determination of Interrogating Frequencies to Maximize Electromagnetic Backscatter from Objects with Material Coatings

Determination of Interrogating Frequencies to Maximize Electromagnetic Backscatter from Objects with Material Coatings

Three-Dimensional Axisymmetric Invisibility Cloaks With Arbitrary Shapes in Layered-Medium Background

Fast Inhomogeneous Plane Wave Algorithm for Analysis of Composite Bodies of Revolution

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