辛几何理论和辛差分格式算法在目标散射场计算中的应用  

Symplectic geometrical theory and symplectic difference schemes for solving scattering field of objects

作　　者：吴琼[1] 黄志祥[2] 吴先良[2] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246011 [2]安徽大学教育部计算智能与信号处理重点实验室,安徽合肥230039

出　　处：《中国科学技术大学学报》2006年第11期1160-1164,共5页JUSTC

基　　金：国家自然科学基金(60371041)资助

摘　　要：通过分析辛几何理论、辛差分格式和显示辛差分格式,提出了一种将辛差分格式算法与辛几何理论结合起来,计算复杂目标散射场的新方法,该方法具有长时间的守恒性和精确性.还给出二维椭圆形反射天线焦散区散射场的计算实例,计算结果证明了辛几何理论结合辛差分格式求解散射场方法的有效性.A new method combining symplectic difference schemes with symplectic geometrical theory for solving a scattering field of complex objects was presented. Symplectic geometrical theory, symplectic difference schemes and explicit symplectic difference schemes were also introduced. The symplectic method has the conservation property and accuracy for long time simulations. An application example was given for solving scattering field of caustic region for a two-dimension elliptical antenna with the presented method. Numerical results show the efficiency of the method.

关 键 词：辛几何理论 辛差分格式 焦散区 

分 类 号：O441[理学—电磁学]