High-level fast multipole method for accurate modeling of complex electromagnetic scattering
|School||University of Electronic Science and Technology|
|Course||Electromagnetic Field and Microwave Technology|
|Keywords||Electromagnetic scattering Integral equation method Method of Moments Higher - order method High - level geometric modeling Higher - order basis functions Fast multipole method Multilevel fast multipole method|
Efficient solving of complex electromagnetic scattering and radar target identification for radar system design has very important significance . Efficient solving of complex electromagnetic scattering contains two meanings . First : the ability to achieve in the limited computer resources under the conditions of accurate modeling and calculation of target scattering properties , the results should be consistent with the measured value with high precision . Second : in the premise , to achieve a more rapid analysis and calculation . So, look for a strict , efficient and accurate means of analysis has become the focus of the study target scattering . In this paper, based on higher-order moment method of fast multipole method ( FMM ) and the multilevel fast multipole algorithm ( MLFMA ) computational complexity of the target electromagnetic scattering . The method is compared with the low-level method , the desired the unknown quantity less storage needed less , while maintaining high precision of calculation results , etc. having a high level of convergence . In this paper, a benchmark targets such as conducting sphere , the amygdala , two olives body of backscatter results , these results are in good agreement with the measured values ??, which shows the efficiency of the proposed method . This paper systematically elaborated on the basis of the study as a whole subject - the key technology of the moment method , such as geometric modeling of the target body , the basis functions and the choice of the function , the integral equation singular integral processing . Next , details of the higher - order method two aspects: a high - level geometric modeling and high-order basis functions . Several commonly used high-end chip unit and higher-order basis functions . Complex three-dimensional conductor electromagnetic scattering problems , this paper uses a curved triangular patch analog scattering surface , combined with high - order interpolation divergence conformal basis functions for analysis . This paper analyzes the typical three-dimensional conductive electromagnetic scattering , to obtain a better calculation results proved the correctness of the methods and procedures . Finally, on the basis of the study , the research for efficient solving complex electromagnetic scattering problem complexity and the fast multipole method and the multilevel fast multipole method . A comprehensive exposition of the basic principles of fast multipole multilevel fast multipole method . In-depth analysis of how it applies to higher-order moments method .