Special Session 5: Scientific Computation and Numerical Algorithms

A fast algorithm for electromagnetic scattering of three dimensional penetrable axis-symmetric objects

Jun Lai
Zhejiang University
Peoples Rep of China
Co-Author(s):    
Abstract:
Fast algorithm for the electromagnetic scattering of dielectric objects is of great importance in optics, biomedical imaging and inverse scattering. In this talk, we apply a second kind integral formulation to the three dimensional scattering problem of axis-symmetric objects. The resulted surface integral equation is reduced to a sequence of line integral equations by Fourier transform along the azimuthal direction. These equations are decoupled from each other and a high order kernel splitting technique is applied to the evaluation of singular integrals. The algorithm is efficient and high order even for the scattering of non-smooth objects by using generalized Gaussian quadrature. Numerical experiments are presented to demonstrate the efficiency of the algorithm. Application to inverse scattering will be discussed.