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

JIN Ya-Qiu; LI Zhong-xin

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

更新时间：2025-07-16

- Bistatic Scattering and Transmitting Through a Fractal Rough Dielectric Surface Using the Forward and Backward Method with Spectrum Acceleration Algorithm (FBM/SAA)
- Acta Electronica Sinica Vol. 30, Issue 11, Pages: 1648-1653(2002)
- 作者机构：
  
  复旦大学波散射和遥感中心,上海,200433
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN011
- Published：2002
- 稿件说明：
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JIN Ya-Qiu, LI Zhong-xin. Bistatic Scattering and Transmitting Through a Fractal Rough Dielectric Surface Using the Forward and Backward Method with Spectrum Acceleration Algorithm (FBM/SAA)[J]. Acta Electronica Sinica, 2002, 30(11): 1648-1653.
DOI：

JIN Ya-Qiu, LI Zhong-xin. Bistatic Scattering and Transmitting Through a Fractal Rough Dielectric Surface Using the Forward and Backward Method with Spectrum Acceleration Algorithm (FBM/SAA)[J]. Acta Electronica Sinica, 2002, 30(11): 1648-1653. DOI：

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

角度性起伏与分数维的关系.

Abstract

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.

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