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Integral equation formulation for object scattering above a rough surface.

机译:物体在粗糙表面上方散射的积分方程公式。

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摘要

In this thesis, we consider the scattering from an object buried within a rough surface environment. The presence of the rough surface produces random fluctuations in the field, which are modeled by a rough surface Green's function. The rough surface Green's function is applicable to rough surfaces of small rms height and is based upon the modified diagram method and the second-order perturbation method. The coherent (average) Green's function G is obtained by solving Dyson's equation, which is the re-normalized perturbation expansion of Green's theorem. The second moment of the Green's function ⟨ GG*⟩, also called the Mutual Coherence function (MCF), is obtained by solving Bethe-Salpeter's equation under the first order, second-order ladder and second-order cyclic theory. It should be noted that in order to construct a Green's function for a surface using the diagram process, one must be able to write the boundary condition as a perturbation process. In this thesis, we construct rough surface Green's function for these surfaces. (1) Dirichlet's boundary condition. (2) Neumann's boundary condition. (3) TE and TM Impedance boundary condition. (4) Dyadic boundary condition for perfectly electric conducting rough surface.; The interaction of the Green's function with the object is determined by the modified electric field integral equations (“S”-EFIE) for statistical Green's functions. The “S”-EFIE is obtained by averaging the deterministic EFIE and assuming that the Green's function and the induced currents on the object are complex, circular Gaussian random variables. These integral equations are solved using method of moments (MOM) to provide solutions for the coherent and fluctuating current distributions induced on the object near a rough surface. Once these currents are known, the coherent and incoherent intensity radiating from the object may also be obtained.
机译:在本文中,我们考虑了来自埋在粗糙表面环境中的物体的散射。粗糙表面的存在会在场中产生随机波动,这由粗糙表面的格林函数建模。粗糙表面格林函数适用于均方根高度较小的粗糙表面,并且基于改进的图解法和二阶微扰法。相干(平均)格林函数 G 通过求解戴森方程获得,该方程是格林定理的重新归一化扰动展开。格林函数〈 GG * moment的第二阶矩,也称为互相关函数(MCF),是通过在第一阶,第二阶阶梯和第二阶下求解Bethe-Salpeter方程获得的循环理论。应该注意的是,为了使用图解过程为表面构造格林函数,必须能够将边界条件写为扰动过程。在本文中,我们构造了这些表面的粗糙表面格林函数。 (1)Dirichlet的边界条件(2)诺依曼边界条件。 (3)TE和TM阻抗边界条件。 (4)完美导电粗糙表面的二元边界条件。格林函数与对象的相互作用由用于统计格林函数的修正电场积分方程(“ S” -EFIE)确定。 “ S” -EFIE是通过对确定性EFIE求平均值并假设格林函数和物体上的感应电流是复杂的圆形高斯随机变量而获得的。使用矩量法(MOM)求解这些积分方程,为在粗糙表面附近物体上感应的相干和波动电流分布提供解决方案。一旦知道了这些电流,就可以获得从物体辐射的相干强度和非相干强度。

著录项

  • 作者

    Rockway, John Dexter.;

  • 作者单位

    University of Washington.;

  • 授予单位 University of Washington.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 2001
  • 页码 156 p.
  • 总页数 156
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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