Study On The Methods Of Scattering And Inverse Scattering Of High-frequency Electromagnetic Wave In Two-dimension Medium

Electromagnetic scattering and electromagnetic inverse scattering is a very important field in engineering's techniques of electromagnetic wave, but They have great difficulty in implementing because of the complexity of algorithm. Especially, Developing new,high efficiency and exact algorithm is a challenging task in Electromagnetic imaging field.The integral equations are formulated by Maxwell equations and Green's function in this paper. Then integral equations are used to study electromagnetic scattering and electro- magnetic inverse scattering in two-dimension medium. First, getting the discretization of integral equations, and to make the discrete result more exact,which discrete function is selected is very important. So interpolating function, which is more exact than impulse function, is used as discrete function in this paper. The discrete form of the integral equations is solved via the stabilized biconjugate-gradient iteration method. Because the product between the Green's function and the contrast source within the integral equations can be expressed in the form of convolution, which can be accelerated by adopting the fast Fourier transform in x and y directions during each iteration of BCGS, the algorithm has more computing speed and practicability. The algorithm of Born iteration is used to calculate electromagnetic inverse scattering. Forward computing is performed during each iteration. Because the BCGS-FFT algorithm is used as forward method during each iteration, the inverse result will be fast and exact. Finally, whole electromagnetic scattering and inverse scattering algorithm and computing software in two-dimension medium are obtained. Numerical examples show the accuracy and efficiency of the algorithm.