Parametric geometric modeling using piecewise interpolation functions for solutions of electromagnetic integral equations

Author

Huang, S.W. ; Xia, M.Y.

Author_Institution

Sch. of Electron. Eng. & Comput. Sci., Peking Univ., Beijing

fYear

2008

fDate

16-20 Dec. 2008

Firstpage

1

Lastpage

4

Abstract

A parametric geometric modelling method for solution of electromagnetic integral equations that employs piecewise Lagrange polynomials that use only partial interpolation nodes to fit the curved surfaces, other than higher-order Lagrange interpolation that involves all nodes, is proposed. The method has compact formulae for arbitrary order, and is flexible to be combined with curved quadrilateral and triangular basis functions. Its correctness and efficacy are confirmed by applying it to the simulation of rough surface scattering using the modified Sparse-Matrix Canonical-Grid (SMCG) method.

Keywords

electromagnetic wave scattering; integral equations; surface scattering; curved quadrilateral basis function; curved surfaces; curved triangular basis function; electromagnetic integral equations; modified sparse-matrix canonical-grid method; parametric geometric modeling; partial interpolation nodes; piecewise Lagrange polynomials; piecewise interpolation functions; rough surface scattering; Electromagnetic modeling; Electromagnetic scattering; Integral equations; Interpolation; Lagrangian functions; Polynomials; Rough surfaces; Solid modeling; Surface fitting; Surface roughness;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference, 2008. APMC 2008. Asia-Pacific

Conference_Location

Macau

Print_ISBN

978-1-4244-2641-6

Electronic_ISBN

978-1-4244-2642-3

Type

conf

DOI

10.1109/APMC.2008.4958622

Filename

4958622