A Fast Algorithm for Electromagnetic Scattering from One-Dimensional Rough Surface

In this paper, the Adaptive Modified Characteristic Basis Function Method (AMCBFM) is proposed for quickly simulating electromagnetic scattering from a one-dimensional perfectly electric conductor (PEC) rough surface. Similar to the traditional characteristic basis function method (CBFM), Foldy-Lax multiple scattering equations are applied in order to construct the characteristic basis functions (CBFs). However, the CBFs of the AMCBFM are different from those of the CBFM. In the AMCBFM, the coefficients of the CBFs are first defined. Then, the coefficients and the CBFs are used to structure the total current, which is used to represent the induced current along the rough surface. Moreover, a current criterion is defined to adaptively halt the order of the CBFs. The validity and efficiency of the AMCBFM are assessed by comparing the numerical results of the AMCBFM with the method of moments (MoM). The AMCBFM can effectively reduce the size of the matrix, and it costs less than half the CPU time used by the MoM. Moreover, by comparing it with the traditional CBFM, the AMCBFM can guarantee the accuracy, reduce the number of iterations, and achieve better convergence performance than the CBFM does. The second order of the CBFs is set in the CBFM. Additionally, the first order of the CBFs of the AMCBFM alone is sufficient for this result.

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Fast simulations of electromagnetic scattering from 1-D rough surface through adaptively modified characteristic basis function method

2017 7th IEEE International Symposium on Microwave, Antenna, Propagation, and EMC Technologies (MAPE) ◽

10.1109/mape.2017.8250879 ◽

2017 ◽

Author(s):

Jing Jing Wang ◽

An Qi Wang ◽

Zhi Xiang Huang

Keyword(s):

Rough Surface ◽

Electromagnetic Scattering ◽

Basis Function ◽

Function Method

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Ultra-wideband characteristic basis function method merging the secondary level characteristic basis functions for rapid computation of wideband radar cross section problems from conducting targets

Journal of Computational Methods in Sciences and Engineering ◽

10.3233/jcm-204704 ◽

2020 ◽

pp. 1-10

Author(s):

Zhong-Gen Wang ◽

Jun-Wen Mu ◽

Wen-Yan Nie

Keyword(s):

Basis Function ◽

Function Method ◽

Secondary Level ◽

Singular Value ◽

Basis Functions ◽

Ultra Wideband ◽

Scattering Problems ◽

Wideband Radar ◽

Value Decomposition ◽

A Current

In this paper, a merged ultra-wideband characteristic basis function method (MUCBFM) is presented for high-precision analysis of wideband scattering problems. Unlike existing singular value decomposition (SVD) enhanced improved ultra-wideband characteristic basis function method (SVD-IUCBFM), the MUCBFM reduces the number of characteristic basis functions (CBFs) necessary to express a current distribution. This reduction is achieved by combining primary CBFs (PCBFs) with the secondary level CBFs (SCBFs) to form a single merged ultra-wideband characteristic basis function (MUCBF). As the MUCBF incorporates the effects of PCBFs and SCBFs, the accuracy does not change significantly compared to that obtained by the SVD-IUCBFM. Furthermore, the efficiencies of constructing the CBFs and filling the reduced matrix are improved. Numerical examples verify and demonstrate that the proposed method is credible both in terms of accuracy and efficiency.

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Efficient Solution of Electromagnetic Scattering From Dielectric Objects via Characteristic Basis Function Method Based on Large-Size Blocks With Multilevel Subdivision

IEEE Access ◽

10.1109/access.2019.2919248 ◽

2019 ◽

Vol 7 ◽

pp. 71741-71748

Author(s):

Fei Huang ◽

Yufa Sun

Keyword(s):

Electromagnetic Scattering ◽

Basis Function ◽

Function Method ◽

Efficient Solution ◽

Large Size ◽

Dielectric Objects

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Chebyshev Wavelet Quasilinearization Scheme for Coupled Nonlinear Sine-Gordon Equations

Journal of Computational and Nonlinear Dynamics ◽

10.1115/1.4035056 ◽

2016 ◽

Vol 12 (1) ◽

Cited By ~ 5

Author(s):

K. Harish Kumar ◽

V. Antony Vijesh

Keyword(s):

Basis Function ◽

Numerical Scheme ◽

Function Method ◽

Gordon Equation ◽

Basic Function ◽

Sine Gordon Equation ◽

One Dimensional ◽

Improve Accuracy ◽

Chebyshev Wavelet ◽

Grid Points

Radial basis function (RBF) has been found useful for solving coupled sine-Gordon equation with initial and boundary conditions. Though this approach produces moderate accuracy in a larger domain, it requires more grid points. In the present study, we develop an alternative numerical scheme for solving one-dimensional coupled sine-Gordon equation to improve accuracy and to reduce grid points. To achieve these objectives, we make use of a wavelet scheme and solve coupled sine-Gordon equation. Based on the numerical results from the wavelet-based scheme, we conclude that our proposed method is more efficient than the radial basic function method in terms of accuracy.

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