Research On Fast Analysis And Multi-parameter Sweep Method Based On The Method Of Moments

Method of moments,which is based on electromagnetic integral equations,is a classic method.It has been an active topic since it was proposed,and has become one of the most favorite methods in computational electromagnetics society.In this thesis,the decomposition algorithm of integral equations and matrix compression methods based on the method of moments are studied.The main contributions of this thesis are as follows:(1)One impedance matrix filling algorithm based on block shared Gaussian points is proposed.The proposed method improves "Triangle-Triangle" pairing filling method using the geometry blocks.It utilizes the idea of shared Gaussian points in the blocks to achieve the algebraic "Block-Block" pairing matrices filling method.This proposed method will achieve fast impedance matrix filling by further reducing and gathering the multiplication of matrix filling.In this way,the efficiency of matrix filling can be improved when the calculation precision is guaranteed at the same time.(2)One adaptive cross approximation method based on the former mentioned matrix filling method is proposed.The proposed method decomposes the Gauss points interaction matrices in blocks by the rank defects based on the new fast filling method.In this case,the proposed method can improve filling efficiency while the calculation precision is guaranteed.(3)One fast parameter scanning method based on two-dimensional matrix interpolation is proposed.The performances are tested by combining various interpolation techniques.By using the bilinear interpolation method in the frequency and dielectric plane,it can greatly reduce the global time of matrix filling and improve the efficiency of multi-parameter scanning.