波动逆散射的正则化方法研究Ⅱ

积分方程方法是求解波动逆问题的一种新方法 ,它利用积分算子有效地将散射物边界数据映射到远场或者近场测试的数据上 ,从而避免了迭代和优化方法中正问题的求解 ;但是 ,所得的第一类和第二类积分方程是不适定的 ,这样就需要用到正则化方法。文中着重就第一类不适定的积分方程的正则化方法加以探讨。

On the Research of Regularity Methods in Wave Inverse Scattering Ⅱ

Integral equations methods are new methods for solving inverse problems about wave. It makes use of integral operators mapping scattering boundary data onto measuring data of far-field or near-field directly, so that the forward questions are avoid to use iteration and optimization methods. But the available first or the second kind of integral equations are ill-posed, so the regularization methods must be employed. The article discusses inverse scattering problems about regularization methods the first kind of intergral equation.