The EM Scattering Of Fast Integral Equation Method Above The Rough Surface And Electrically Large Object

The fast algorithm methods’ research of composite scattering above rough surface andelectrically large object has not only important theoretical significance, but also greatapplication value. It is the one of the modern computational electromagnetics’ frontiersubjects. The increasingly complex engineering also demands strict requirements for the fastand efficient solution of the model. In this paper, for the composite scattering of rough surfaceand three-dimensional object, the iterative integral equation method (IEM) of metal anddielectric objects is studied. Also, this paper uses the singular value decomposition (SVD) tothe matrix in the moment method (MoM) for low-rank decomposition. In ensuring thecalculation precision, the fast and effective methods are provided for calculating the scatteringcharacteristic of objects.The main work and innovation points of this paper are summarized as follows:Firstly, the electromagnetic scattering about three-dimensional random metal roughsurface and dielectric rough surface are analyzed. Iterative IEM algorithm is used to calculatethe bistatic radar cross section of metal and dielectric rough surface. This algorithm isapplicable to the electromagnetic scattering computation which has multiple coupling effectson the large rough surface, and the scattering results can be calculated more accurately.Secondly, the whole composite target is composed of the complex background andobject. Using the iterative IEM algorithm, the model of a different metal object above therandom dielectric rough surface is established to simulate the composite target’s bistatic radarcross section. That is to say, the scattering problems of any random dielectric rough surfaceand any metal targets can be calculated by iterative IEM algorithm.Finally, by using the low-rank characteristics of the equation’s right excitation source onMoM which is based on the integral equation method accelerate the monostatic radar crosssection calculation. In this paper, based on the use of the best uniform approximationalgorithm to sweep frequency, make the composed matrix of multiple right vectors becomelow-rank decomposition for compression by using SVD. This method makes the calculatingtimes of the equation reduce from the number of the right vector originally to the rightmatrix’s rank. Because the matrix’s rank is far less than the right vectors’ number, it greatlyreduces the computation time.