| 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. |
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