Numerical Simulation of BOR Scattering and Radiation Using a Higher Order FEM

Dunn, Eric; Byun, Jin-Kyu; Branch, Eric; Jin, Jian‐Ming

doi:10.1109/tap.2006.869936

Cited by 31 publications

(16 citation statements)

References 28 publications

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“…Since the chirality parameter provides an extra degree of freedom, it may be possible to use chiral materials to coat an object to achieve more effective control of its scattering properties [4]. There have been a lot of efforts made to develop an efficient numerical technique to solve the electromagnetic scattering problems associated with chiral objects, for example the eigenfunction solutions [5][6][7], volume formulation [8][9][10], T-matrix method [11][12][13], and method of moment (MoM) solution [14,15], finite element method (FEM) [16] as well as finite difference time domain (FDTD) techniques [17][18][19]. More recently, surface integral equation (SIE) analysis of homogenous chiral object has been presented in [20][21][22] with the MoM solution accelerated by Multilevel fast multipole method (MLFMM) [23,24].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering by Conducting Bor Coated With Chiral Media Above a Lossy Half-Space

Ding¹,

Chen²

2010

PIER

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Abstract-Electromagnetic scattering by conducting bodies of revolution (BOR) coated with homogeneous chiral media above a lossy half-space is formulated in terms of the Poggio-Miller-ChangHarrington-Wu surface integral equation combined with combined field integral equation. A field decomposition scheme is utilized to split a chiral media into two equivalent homogeneous media. The spatial domain half-space Green's functions are obtained via the discrete complex image method. Due to the rotational symmetry property of BOR, the method of moment for BOR (BORMoM) is applied to the linear system solved by the multifrontal direct solver. Numerical results are presented to demonstrate the accuracy and efficiency of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Electromagnetic Scattering by Conducting Bor Coated With Chiral Media Above a Lossy Half-Space

Ding¹,

Chen²

2010

PIER

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“…Analysis techniques of BOR objects have been developed intensively in literature for a long time [6][7][8][9][10][11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

“…In the analysis of inhomogeneous BOR objects with complex geometry the more numerically powerful techniques are hybrid methods [11][12][13][14] which combine the partially-differential equation (PDE) based methods (e.g., finite-difference time-domain (FDTD) method, finite element method (FEM)) with analytical ones (e.g., Mode Matching (MM) technique, MoM). In these techniques the discrete approach (FDTD, FEM) is only used in the limited area surrounding the post, where the analytical solution of the problem is difficult to determine.…”

Section: Introductionmentioning

confidence: 99%

“…The advantage of this approach is that the complexity of the problem can be reduced, and time and memory efficiency algorithms can be achieved. In the literature one can find different hybrid techniques, which allow to solve the problem of scattering with different accuracy and efficiency [11,12,14]. In [11] the investigated rotationally symmetrical post was enclosed in an artificial spherical object.…”

Section: Introductionmentioning

confidence: 99%

“…However, due to the artificial reflections in PML, the discrete area have to be increased which results in decreasing the efficiency of this approach. In [14] the FE-BI technique was proposed to the analysis of arbitrary inhomogeneous objects. In this technique MoM was used to analyze the fields in exterior area and as a result the mesh truncation could be placed very close to the object to minimize memory usage.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hybrid Finite-Difference/Mode-Matching Method for Analysis of Scattering From Arbitrary Configuration of Rotationally-Symmetrical Posts

Kusiek¹,

Mazur²

2010

PIER

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Abstract-In this paper, the hybrid approach to the analysis of electromagnetic wave scattering from arbitrary configuration of bodyof-revolution (BOR) posts is presented. The proposed approach is based on the representation of each scatterer or set of scatterers by an effective sphere with the known boundary conditions defined by transmission matrix. In the analysis of each single axiallysymmetrical post with irregular shape we utilize the finite-difference frequency-domain/mode-matching technique (FDFD/MM). Then the scattering parameters of investigated set of posts are obtained utilizing the analytical iterative scattering procedure (ISP). This work is an extension of our previously published results where the proposed technique was defined in cylindrical coordinates and was limited to configurations of infinitely long parallel cylinders with arbitrary crosssection. In this paper we extend this method by formulating it in spherical coordinates. This allows us to significantly increase the versatility of the developed approach and in result to include in the analysis the sets of arbitrary located and oriented rotationallysymmetrical posts. The accuracy and efficiency of the proposed technique are discussed. The presented numerical results are verified with the ones obtained from commercial software.

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Parabolic Equation Methods in Electromagnetics

Chen

2018

Wiley Encyclopedia of Electrical and Electronics Engineering

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The parabolic equation (PE) has been solved by the finite difference schemes in the past decades for propagating and scattering problems. The Crank–Nicolson (CN) scheme is widely used for its simplicity and stability. By using theCNscheme, the parabolic equation can be solved in a sequential manner along the paraxial direction. In this way, a three‐dimensional problem can be converted into a series of two‐dimensional problems. Then the alternating direction implicit (ADI) scheme is introduced to solve the parabolic equation. It can be found that theADI‐PEmethod is more computationally efficient than theCN‐PEmethod, since the two‐dimensional problem can be further reduced to a series of one‐dimensional problems to be solved by theADI‐PEmethod. At last, the alternating group explicit (AGE) scheme, together with theADIscheme, is used to solve the parabolic equation. As a result, the unknowns in each transverse plane can be directly obtained without solving any matrix equations. Therefore, limited computing resources are needed even for the electrically large problems with good accuracy. Numerical results of both the propagating and scattering problems are given to verify the accuracy and efficiency of all the methods. The corresponding time‐domain counterparts are also introduced in this article.

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Numerical Simulation of BOR Scattering and Radiation Using a Higher Order FEM

Cited by 31 publications

References 28 publications

Electromagnetic Scattering by Conducting Bor Coated With Chiral Media Above a Lossy Half-Space

Electromagnetic Scattering by Conducting Bor Coated With Chiral Media Above a Lossy Half-Space

Hybrid Finite-Difference/Mode-Matching Method for Analysis of Scattering From Arbitrary Configuration of Rotationally-Symmetrical Posts

Parabolic Equation Methods in Electromagnetics

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