Application of tikhonov regularization technique to investigation of the electromagnetic field scattered by inclusion in multilayered media

Abstract

Tikhonov regularization technique is an effective tool for ill-posed problems solution and the analysis of ill-conditioned linear systems. Efficiency of the regularization technique application for the direct diffraction problem solution on the two-dimensional inclusion located in plane-layered media is considered. Efficiency in this case is understood as improvement of convergence and stability of the final solution. Regularization technique was applied to the first kind linear algebraic equations system which was formed during the solution of diffraction problem by the modified null-field technique. As a result of the performed numerical experiments types of a configuration of scattering structure under analysis have been determined, which provides the maximum effect of application of the regularization technique. In addition, for considered type of problems it have been defined criteria for a prior choice of auxiliary solution for the regularization procedure.