Title :
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
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;
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
DOI :
10.1109/APMC.2008.4958622
