Analysis of Scattering by Large Inhomogeneous Bi-Anisotropic Objects Using Aim

Li, Hu; Li, Le‐Wei; Yeo, T.S.

doi:10.2528/pier09101204

Cited by 21 publications

(16 citation statements)

References 27 publications

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“…Such heavy computation complexity and memory cost are undesirable in many applications, e.g. the reconstruction of largescale induced electric or current density in discontinuous media in computational electromagnetics [19][20][21][22][23][24] or in radar signal research domain [25,26]. Therefore, it is necessary to reduce the computation time and the memory complexity in the G-IPRM.…”

Section: Introductionmentioning

confidence: 99%

A Fast Inverse Polynomial Reconstruction Method Based on Conformal Fourier Transformation

Liu¹,

Liu²,

Zhu³

et al. 2012

PIER

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Abstract-A fast Inverse Polynomial Reconstruction Method (IPRM) is proposed to efficiently eliminate the Gibbs phenomenon in Fourier reconstruction of discontinuous functions. The framework of the fast IPRM is modified by reconstructing the function in discretized elements, then the Conformal Fourier Transform (CFT) and the Chirp Z-Transform (CZT) algorithms are applied to accelerate the evaluation of reconstruction coefficients. The memory cost of the fast IPRM is also significantly reduced, owing to the transformation matrix being discretized in the modified framework. The computation complexity and memory cost of the fast IPRM are O(M N log 2L) and O(M N ), respectively, where L is the number of the discretized elements, M is the degree of polynomials for the reconstruction of each element, and N is the number of the Fourier series. Numerical results demonstrate that the fast IPRM method not only inherits the robustness of the Generalized IPRM (G-IPRM) method, but also significantly reduces the computation time and the memory cost. Therefore, the fast IPRM method is useful for the pseudospectral time domain methods and for the volume integral equation of the discontinuous material distributions.

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Section: Introductionmentioning

confidence: 99%

A Fast Inverse Polynomial Reconstruction Method Based on Conformal Fourier Transformation

Liu¹,

Liu²,

Zhu³

et al. 2012

PIER

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“…It usually requires O(N 2 ) memory to store the impedance matrix and O(N 2 ) operations to perform the matrix-vector product via an iterative solver, where N is the number of unknowns. The memory requirements and CPU time for solving the matrix equation are dramatically reduced by using some fast algorithms in the MoM such as Precorrected-FFT method (P-FFT) [7,8], Adaptive Integral Method (AIM) [9][10][11][12][13][14] and Multilevel Fast Multipole Algoithm (MLFMA) [15,16].…”

Section: Introductionmentioning

confidence: 99%

“…To facilitate the analysis of electrically large antennas, the AIM has been used to reduce the memory requirements and accelerate the matrix-vector multiplications in the iterative solver. Different from the existing AIM codes [9][10][11][12][13][14], the Gauss interpolation scheme is used in our implementation of AIM. Numerical results for a cube mounted on a monopole and two monopoles placed on a helicopter are presented in Section 4.…”

Section: Introductionmentioning

confidence: 99%

Interpolation Scheme Based on Adaptive Integral Method for Solving Electrically Large Radiation Problem by Surface/Surface Configuration

Wang¹,

Gong²,

Jin³

et al. 2010

PIER M

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Abstract-A novel interpolation scheme based on Adaptive Integral Method (AIM) is presented to solve electrically large radiation problem of conducting surface/surface configurations. For a complex structure that involves wires and surfaces, three basis functions must be assigned to surfaces, wires and wire/surface junctions. To simplify this, the thin strips with no thickness instead of wires are proposed, and the wire/surface junctions can be replaced by surface/surface junctions, thus it is only necessary to define a uniform basis function. The Electric Field Integral Equation (EFIE) is solved using the Method of Moments (MoM) to obtain the equivalent surface current on PEC surfaces. To facilitate the analysis of electrically large radiation problem, the interpolation scheme based on AIM is employed to accelerate the matrix-vector multiplications and reduce matrix storage. Numerical results are presented to demonstrate the accuracy and efficiency of the technique.

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“…In the experiments reported in [5][6][7], we showed that updating a preconditioner with eigenvectors associated to a few small eigenvalues of the preconditioned matrix can lead to a significant reduction of the number of iterations of Krylov subspace methods in the solution of dense linear systems arising from the Method of Moments discretization of integral operators in electromagnetic scattering. Scattering analysis continues to receive much attention in electromagnetics research, see e.g., [15,25,30,31,37].…”

Section: Introductionmentioning

confidence: 99%

A Novel Lanczos-Type Procedure for Computing Eigenelements of Maxwell and Helmholtz Problems

Carpentieri¹,

Jing

Huang

2010

PIER

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Abstract-We introduce a novel variant of the Lanczos method for computing a few eigenvalues of sparse and/or dense nonHermitian systems arising from the discretization of Maxwell-or Helmholtz-type operators in electromagnetics. We develop a Krylov subspace projection technique built upon short-term vector recurrences that does not require full reorthogonalization and can approximate simultaneously both left and right eigenvectors. We report on experiments for solving eigenproblems arising in the analysis of dielectric waveguides and scattering applications from PEC structures. The theoretical and numerical results reported in this study will contribute to highlight the potential and enrich the database of this technology for solving generalized eigenvalue problems in Computational Electromagnetics.

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Analysis of Scattering by Large Inhomogeneous Bi-Anisotropic Objects Using Aim

Cited by 21 publications

References 27 publications

A Fast Inverse Polynomial Reconstruction Method Based on Conformal Fourier Transformation

A Fast Inverse Polynomial Reconstruction Method Based on Conformal Fourier Transformation

Interpolation Scheme Based on Adaptive Integral Method for Solving Electrically Large Radiation Problem by Surface/Surface Configuration

A Novel Lanczos-Type Procedure for Computing Eigenelements of Maxwell and Helmholtz Problems

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