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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Macro-Modeling of Electromagnetic Domains Exhibiting Geometric and Material Uncertainty
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Macro-Modeling of Electromagnetic Domains Exhibiting Geometric and Material Uncertainty

机译：具有几何和材料不确定性的电磁域的宏建模

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摘要

A methodology is presented for the development of stochastic electromagnetic macro-models for domains exhibiting geometric and material uncertainty. Focusing on the case of domains exhibiting geometric/material invariance along one of the axes of the reference coordinate system, the methodology makes use of the theory of polynomial chaos expansion and the concept of a global impedance/admittance matrix relationship defined over a circular surface enclosing the cross-sectional geometry of the domain of interest. The result is a stochastic global impedance/admittance matrix, defined on the enclosing circular surface, whose elements are truncated polynomial chaos expansions over the random space defined by the independent random variables that parameterize the geometric and material uncertainty inside the domain. Use is made of sparse Smolyak grids to reduce the computational cost of constructing the stochastic macro-model. Numerical examples are used to demonstrate some of the attributes of the proposed stochastic macro-models to the numerical solution of electromagnetic scattering problems by an ensemble of cylindrical targets exhibiting uncertainty in their shape and relative positioning.
机译：提出了一种方法，用于开发具有几何和材料不确定性的领域的随机电磁宏模型。着眼于在参考坐标系的其中一个轴上表现出几何/材料不变性的区域的情况下，该方法利用多项式混沌展开理论和在圆形表面上定义的整体阻抗/导纳矩阵关系的概念感兴趣区域的横截面几何形状。结果是在封闭的圆形表面上定义的随机全局阻抗/导纳矩阵，其元素是由独立随机变量定义的随机空间上的截断多项式混沌扩展，这些随机变量对域内的几何和材料不确定性进行了参数化。利用稀疏的Smolyak网格来减少构建随机宏模型的计算成本。数值例子被用来证明所提出的随机宏模型的某些属性，这些问题是由一群形状和相对位置不确定的圆柱形靶的电磁散射问题的数值解决方案。

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