Analysis of Electromagnetic Scattering With Higher-Order Moment Method and Nurbs Model

Abstract

Abstract-A novel scheme of combining non-uniform rational Bsplines (NURBS) model with higher-order moment method (HOMM) is presented. The mesh precision of conforming to practical object is a major factor for HOMM to yield accurate results. In the present paper, NURBS technique is employed to model complex objects accurately with large curved Bezier patches and no factitious geometric discontinuities are introduced between the adjoining patches. The higher-order modified Legendre basis functions are defined on Bezier patch. As a result of the combination of NURBS model with HOMM, the accuracy of results is greatly improved compared with HOMM on curved parametric quadrilateral (CPQ) model, meanwhile, the number of unknowns is much reduced. Numerical results show that NURBS-HOMM is an efficient technique with good potential to solve the electromagnetic (EM) problems of complex electrically large objects.

Optimal High-Order Method of Moment combined with NURBS for the scattering by a 2D cylinder.

“…By the lack of numerical stability to determine its derivation, NURBS curve is needed to be transformed to Bézier format [7]. The mathematical expression for a …”

“…The basis functions used in this work are the modified Legendre polynomials, defined in u ∈ ]−1 1[ (section 4). Thus we need to convert the equation (1) to this interval by the relation u = 2v − 1 [7]:…”

“…NURBS elements approximate the geometry using a high order polynomial basis and easily model high curvature objects. Then, the combination of the HO-MOM with NURBS meshing constitutes a really powerful approach whose advantages are quite recently studied [7,8].…”

Modeling of electromagnetic waves scattering from sea surface using Higher-Order Moment Method (HO-MoM) and NURBS patch

“…International Standarization Organization (ISO) selected it as the only mathematical method to define the shaps of industrial product [5]. The use of the NURBS in the electromagnetic scattering problem was introduces firstly time by the Spanish scientists [7].…”

Convergence Study of a Non-Standard Schwarz Domain Decomposition Method for Finite Element Mesh Truncation in Electro-Magnetics

“…The interior finite domain is modeled by the Finite Element Method (FEM) [1][2][3][4] using a Cauchy (Robin) type of boundary condition for the mesh truncation boundary. The exterior infinite domain is modeled by an integral equation representation of the field [5][6][7][8]. According to Schwarz theory, the solution is obtained through an iterative process in which the radiation boundary condition on the mesh truncation boundary is updated.…”