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  • Open Access

    ARTICLE

    Sensitivity Analysis of Electromagnetic Scattering from Dielectric Targets with Polynomial Chaos Expansion and Method of Moments

    Yujing Ma1,4, Zhongwang Wang2, Jieyuan Zhang3, Ruijin Huo1,4, Xiaohui Yuan1,4,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.140, No.2, pp. 2079-2102, 2024, DOI:10.32604/cmes.2024.048488

    Abstract In this paper, an adaptive polynomial chaos expansion method (PCE) based on the method of moments (MoM) is proposed to construct surrogate models for electromagnetic scattering and further sensitivity analysis. The MoM is applied to accurately solve the electric field integral equation (EFIE) of electromagnetic scattering from homogeneous dielectric targets. Within the bistatic radar cross section (RCS) as the research object, the adaptive PCE algorithm is devoted to selecting the appropriate order to construct the multivariate surrogate model. The corresponding sensitivity results are given by the further derivative operation, which is compared with those of More >

  • Open Access

    PROCEEDINGS

    The Method of Moments for Electromagnetic Scattering Analysis Accelerated by the Polynomial Chaos Expansion in Infinite Domains

    Yujing Ma1,*, Leilei Chen2,3, Haojie Lian3,4, Zhongwang Wang2,3

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.28, No.1, pp. 1-1, 2023, DOI:10.32604/icces.2023.010585

    Abstract An efficient method of moments (MoM) based on polynomial chaos expansion(PCE) is applied to quickly calculate the electromagnetic scattering problems. The triangle basic functions are used to discretize the surface integral equations. The PCE is utilized to accelerate the MoM by constructing a surrogate model for univariate and bivariate analysis[1]. The mathematical expressions of the surrogate model for the radar cross-section (RCS) are established by considering uncertain parameters such as bistatic angle, incident frequency, and dielectric constant[2,3]. By using the example of a scattering cylinder with analytical solution, it is verified that the MoM accelerated More >

  • Open Access

    ARTICLE

    Acoustic scattering from arbitrarily shaped three dimensional rigid bodies using method of moments solution with node based basis functions

    B. Chandrasekhar1

    CMES-Computer Modeling in Engineering & Sciences, Vol.9, No.3, pp. 243-254, 2005, DOI:10.3970/cmes.2005.009.243

    Abstract In this work, a novel numerical technique is presented to calculate the acoustic fields scattered by three dimensional rigid bodies of arbitrary shape using the method of moment's solution procedure. A new set of basis functions, namely, Node based basis functions are developed to represent the source distribution on the surface of rigid body and the same functions are used as testing functions as well. Both single layer formulation and double layer formulations are numerically solved using the same basis functions. The surface of the body is modeled by triangular patch modeling. Numerical technique presented More >

  • Open Access

    ARTICLE

    Computation of Acoustic Far Field Scattering Cross Section from Plain and Intersecting Thin Bodies

    P.R. Venkatesh1, B.Chandrasekhar2 , M.M.Benal3

    CMES-Computer Modeling in Engineering & Sciences, Vol.52, No.1, pp. 83-104, 2009, DOI:10.3970/cmes.2009.052.083

    Abstract In this work, node based basis functions are used to solve the acoustic scattering from plain thin bodies like plates, discs; and intersecting thin bodies like fins on a cylinder. Node based basis functions are defined on the vertices of triangles generated by triangular patch modeling, and these functions are used to define the unknown source distribution. Also the same functions are used as testing functions in the method of moment's solution. Three kinds of nodes were treated for defining the basis functions, namely, boundary node, non-boundary node and non boundary intersecting node. Also, three More >

  • Open Access

    ARTICLE

    An Efficient Petrov-Galerkin Chebyshev Spectral Method Coupled with the Taylor-series Expansion Method of Moments for Solving the Coherent Structures Effect on Particle Coagulation in the Exhaust Pipe

    Chan T.L.1,2, Xie M.L.1,3, Cheung C.S.1

    CMES-Computer Modeling in Engineering & Sciences, Vol.51, No.3, pp. 191-212, 2009, DOI:10.3970/cmes.2009.051.191

    Abstract An efficient Petrov-Galerkin Chebyshev spectral method coupled with the Taylor-series expansion method of moments (TEMOM) was developed to simulate the effect of coherent structures on particle coagulation in the exhaust pipe. The Petrov-Galerkin Chebyshev spectral method was presented in detail focusing on the analyticity of solenoidal vector field used for the approximation of the flow. It satisfies the pole condition exactly at the origin, and can be used to expand the vector functions efficiently by using the solenoidal condition. This developed TEMOM method has no prior requirement for the particle size distribution (PSD). It is… More >

  • Open Access

    ARTICLE

    The Characteristic Basis Function Method: A New Technique for Fast Solution of Radar Scattering Problems

    Raj Mittra1, V.V.S. Prakash1

    CMES-Computer Modeling in Engineering & Sciences, Vol.5, No.5, pp. 435-442, 2004, DOI:10.3970/cmes.2004.005.435

    Abstract In this paper, we introduce a novel approach for the efficient solution of electromagnetic scattering problems from objects that can be represented in terms of facets. The approach is based on the use of the Characteristic Basis Functions (CBFs), which are high-level basis functions of special types, and whose domains are not bound by the conventional Rao, Wilton and Glisson (RWG) discretization using triangular patches that are typically$\lambda$/10 to$\lambda$/20 in size. In contrast, the CBFs are defined over much larger-size domains, even tens of wavelengths in size, with no limit placed on the dimensions of… More >

  • Open Access

    ARTICLE

    Error Analysis of Various Basis Functions Used in BEM Solution of Acoustic Scattering

    B. Chandrasekhar1

    CMES-Computer Modeling in Engineering & Sciences, Vol.56, No.3, pp. 211-230, 2010, DOI:10.3970/cmes.2010.056.211

    Abstract In this work, various basis functions used in the Method of Moments or Boundary Element (MoM/BEM) solution of acoustic scattering problems are compared with each other for their performance. Single layer formulation of the rigid bodies is considered in comparison of the solutions. Geometry of a scatterer is descritized using triangular patch modeling and basis functions are defined on triangular patches, edges and nodes for three different solutions. Far field scattering cross sections for different frequencies of incident acoustic wave are compared with the closed form solutions. Also, the errors of the solutions using these More >

  • Open Access

    ARTICLE

    A New Method of Moments Solution Procedure to Solve Electrically Large Electromagnetic Scattering Problems

    T.N. Killian1, S.M. Rao1 and M.E. Baginski1

    CMES-Computer Modeling in Engineering & Sciences, Vol.46, No.3, pp. 255-270, 2009, DOI:10.3970/cmes.2009.046.255

    Abstract In this work, we present a new method of moments solution procedure for calculating acoustic/electromagnetic scattering and radiation by a metallic body whose physical dimension is very large with respect to wavelength. The specially computed basis functions and the testing procedure results in a block-diagonally-dominant moment matrix where each block along the diagonal corresponds to a portion of the structure. The new solution procedure results in considerable savings in terms of computer storage and processing times. Although the procedure is outlined in general mathematical terms, the numerical results are presented only for electromagnetic scattering from More >

  • Open Access

    ARTICLE

    Node based Method of Moments Solution to Combined Layer Formulation of Acoustic Scattering

    B. Chandrasekhar1

    CMES-Computer Modeling in Engineering & Sciences, Vol.33, No.3, pp. 243-268, 2008, DOI:10.3970/cmes.2008.033.243

    Abstract In this work, a novel numerical technique, based on method of moments solution, is presented to solve the Combined layer formulation (CLF) to insure unique solution to the exterior acoustic scattering problem at all frequencies. A new set of basis functions, namely, Node based basis functions are used to represent the source distribution on the surface of rigid body and the same functions are used as testing functions as well. Combined layer formulation (CLF) is defined by linearly combining the Single layer formulation (SLF) and Double layer formulation (DLF) with complex coupling parameter. The matrix More >

  • Open Access

    ARTICLE

    A Faster Method of Moments Solution to Double Layer Formulation of Acoustic Scattering

    B. Chrasekhar1, Sadasiva. M. Rao2

    CMES-Computer Modeling in Engineering & Sciences, Vol.33, No.2, pp. 199-214, 2008, DOI:10.3970/cmes.2008.033.199

    Abstract In this work, the acoustic scattering problem based on double layer formulation is solved with a novel numerical technique using method of moment's solution. A new set of basis functions, namely, Edge based Adaptive Basis Functions (EABF) are defined in the method of moment's solution procedure. The geometry of the body is divided into triangular patches and basis functions are defined on the edges. Since the double layer formulation involves the evaluation of the hyper-singular integral, the edge based adaptive basis functions are used to make the solution faster. The matrix equations are derived for More >

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