The Application Of Nonparametric Estimation In The Fast Calculation Of Hierarchical Media Dyadic Green's Function

Integral equation methods and dyadic Green's functions are important research topics for analyzing electromagnetic characteristic in the planar layered circuit.In this thesis,fast algorithms for dyadic Green's functions of layered media are studied.The main contributions are as follows:Firstly,a novel matrix pencil method in non-uniformly sampling scheme is proposed.The proposed method is based on a new matrix pencil method,and it obtains planar wave components by virtual of segment and segment sampling.Detailed,the proposed method extracts all components from those sampling from different segments.Numerical results show that the sampling time can be reduced,and also show that expanding time for planer wave extraction can be reduced.Secondly,another matrix pencil method with model reduction is proposed.The proposed method combines the compressive sensing method and the non-uniform sampling matrix pencil method,and it can approximate the spectral Green's functions by orthogonal matching pursuit algorithm according to the observations of the sparse distributions of planar waves.Numerical results show that the proposed method can reduce the number of plane wave components,which can further reduce the time of matrix fillings and can improve the efficiency of analyzing for planar layered circuits.