结合谱积分加速法的前后向迭代法数值计算分形粗糙介质面的双站散射和透射被引量：16

Bistatic Scattering and Transmitting Through a Fractal Rough Dielectric Surface Using the Forward and Backward Method with Spectrum Acceleration Algorithm (FBM/SAA)

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摘要本文发展结合谱积分加速法 (SAA)的前后向迭代法 (FBM) ,数值模拟电磁波低掠角入射下任意大小的介电常数分形粗糙面的双站散射 .将电场和磁场积分方程的阻抗系数阵 ,按面上场与电流未知量分类排序 ,形成四个子矩阵 .对每个子矩阵通过FBM/SAA快速消元得到其对角线元素组成的新两元系数阵 ,再通过FBM/SAA迭代计算该两元系数阵的场和面电流 .本方法的计算量和内存均与粗糙面离散剖分产生的未知量同量级 (O(N) ) .本文数值计算了TE、TM锥形波入射下任意大小介电常数分形粗糙面的双站散射和透射 ,并讨论了计算效率与能量守恒。 To numerically simulate bistatic scattering from fractal rough dielectric surface at low grazing angle (LGA),a hybrid approach of the forward backward method (FBM) with spectral accelerate algorithm (SAA) is developed.The impedance matrix of the electric or magnetic field integral equations is decomposed into four sub matrices for fast FBM algorithm.Bistatic scattering from and transmitting through one dimensional (1 D) fractal rough surface with any dielectric constant are calculated.Angular reflectivity and transmitivity demonstrate the energy conservation,and its functional dependencies upon the surface parameters are discussed.A linear relationship between the envelope slope of the bistatic scattering pattern and the fractal dimension is also discussed.

作者金亚秋李中新

机构地区复旦大学波散射和遥感中心

出处《电子学报》 EI CAS CSCD 北大核心 2002年第11期1648-1653,共6页 Acta Electronica Sinica

基金国家重点基础研究规划 (No 2 0 0 1CB30 940 1 ) 国家自然科学基金 (No 49831 0 60 60 1 71 0 0 9)

关键词数值计算前后向迭代法电场磁场谱积分加速法分形粗糙面双站散射透射 bistatic scattering transmitting FBM/SAA fractal rough surface

分类号 TN011 [电子电信—物理电子学]

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