Reconstruction Methods For An Inverse Diffraction Problem

In this paper,a shape reconstruction from inverse diffraction problem is considered.Both classical Tikhonov regularisation and a slow-evolution-from-the-continuation-boundary(SECB)method are used to solve the ill-posed problem.Regularisztion error estimates for the two methods are compared,and the SECB method is seen to be an improvement on the classical Tikhonov method.For illustration,two numerical examples demonstrate their feasibility and efficiency.