Fast Solution For Monostatic RCS Of Conducting Targets Based On SVD-CBFM

The research on the scattering characteristics of targets is of great practical significance in radar,stealth and anti-stealth and remote sensing,geological exploration and so on.It is one of the key topics in the field of engineering.As an effective numerical method for the research of this subject,method of moments have some problems of calculation and storage in the calculation of electrically large or complex military targets.Characteristic basis function method has been proposed to solve the problems of large amount of calculation and storage difficulties effectively.It is one of the hot topics studied by domestic and foreign experts and scholars in recent years.In this thesis,two new methods based on characteristic basis function method are proposed to calculate the monostatic radar cross section(RCS)quickly and efficiently.The first method uses the recompressed adaptive cross approximation(RACA)algorithm to accelerate the improved singular value decomposition characteristic basis function method(SVD-ICBFM)to solve the monostatic RCS.In SVD-ICBFM,the characteristic basis functions(CBFs)are decomposed by SVD,and the time of the decomposition is long.In this thesis,CBFs are compressed by RACA,which can effectively reduce the time.At the same time,RACA is applied to compress the impedance matrix,which further accelerates the solution of the secondary characteristic basis functions and the construction of the reduction matrix.The second method is called an enhanced feature based method(ECBFM),which is based on the singular value decomposition characteristic basis function method(SVD-CBFM).The CBFs of the ECBFM called as ECBFs,which are constructed by the improved primary characteristic basis functions(IP-CBFs)and improved secondary characteristic basis functions(IS-CBFs).The construction of IS-CBFs is obtained from Foldy-Lax multiple scattering equation,and the primary characteristic basis functions(PCBFs)in Foldy-Lax multiple scattering equation are replaced by IP-CBFs.The method can greatly reduce the number of incident waves while ensuring the accuracy of the calculation.In addition,RACA algorithm is applied to compress the incident waves,which can reduce the generation time of CBFs effectively.Several numerical examples were studied to demonstrate the accuracy and efficiency of the proposed methods,which provides a good foundation for solving the electromagnetic scattering problems of electrically large or complex military targets in the future.