Complex Electromagnetic Scattering Of Fast Non-uniform Plane Wave Algorithm

Research on electromagnetic scattering of complex targets has been received much attention for a long time, the fast inhomogeneous plane wave algorithm(FIPWA) in this paper performs well in this purpose, and the computation complexity of its multilevel version(MLFIPWA)is of the same order as the multilevel fast multipole algorithm(MLFMA). Meanwhile, the MLFIPWA is superior to the MLFMA in numerical operation and some other potential aspects.The common methods for analysis of electromagnetic modeling have been reviewed firstly, the MLFMA based on integral equation method and its potential deficiency is briefly presented, and the FIPWA is introduced then.In the next chapter, the two dimensional FIPWA especially the modified steepest decent path (MSDP) in angular complex plane and the interpolate/extrapolate technique have been carefully studied. In order to improve the efficiency, the fast far field approximation(FAFFA) and a novel local iteration technique based on dynamic coupling region controlling are applied to the original FIPWA. A volumn/surface integral equation(VSIE) FIPWA is developed successfully to analyze scattering of conductor dielectric composite structure.Besides the above two dimensional algorithm, the three Dimensional FIPWA has also been studied. The FIPWA based on electric integral equation(EFIE) is presented firstly, the Green's function expansion with Sommerfeld identity (based on Bessel kernel) is studied and the MSDP for two cases is formulated. In order to improve the iteration property and avoid inner resonance, the combined field integral equation(CFIE) FIPWA is then constructed successfully.Some preconditioner technique is also studied to improve the condition number and further accelerate iterations, comparisons are made between them by numerical results. Finally, a FIPWA based on a novel integral equation—modified EFIE has been developed, which is especially suitable for analyzing scattering of irregular targets. The preconditioner technique presented before is also applied to it.The numerical results in this paper agree well with measurement results or results...