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Stochastic sensitivity of the electromagnetic distributions inside a human eye modeled with a 3D hybrid BEM/FEM edge element method

机译:使用3D混合BEM / FEM边缘元素方法建模的人眼内部电磁分布的随机敏感性

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摘要

This contribution was dedicated to the assessment of the electromagnetic (EM) distributions inside a 3D modeled human eye. Since the use of accurate and efficient electromagnetic tools is crucial to obtain such results, an original hybrid boundary element method (BEM)/finite element method (FEM) is presented through the example of an EM wave impinging on the eye corneal region. Due to the variability inherent to the characterizing of living parameters (regarding our frequency range of interest about a few GHz), an accurate modeling of those mostly electrical data is necessary. A simple formalism based upon a "philosophy" close to Monte Carlo requirements is proposed in this paper in order to integrate efficiently and precisely uncertainties in the proposed results. The analysis of the sensitivity of different electrical parameters aims to increase a better knowledge of the EM fields distribution inside an eye. Obviously, both the deterministic EM modeling and the stochastic theoretical basis will be presented. The whole model will be illustrated on numerical examples including different random variables.
机译:该贡献致力于评估3D建模人眼内部的电磁(EM)分布。由于使用准确,高效的电磁工具对于获得此类结果至关重要,因此,通过以电磁波撞击眼角膜区域为例,提出了一种原始的混合边界元方法(BEM)/有限元方法(FEM)。由于表征生活参数固有的可变性(关于我们感兴趣的频率范围约为几GHz),因此有必要对那些主要是电数据进行精确建模。本文提出了一种基于接近蒙特卡洛要求的“哲学”的简单形式主义,以便将所提出的结果中的不确定因素有效地整合。对不同电参数的灵敏度进行分析的目的是增加对眼睛内部电磁场分布的了解。显然,将提供确定性的EM建模和随机的理论基础。整个模型将在包括不同随机变量的数值示例中进行说明。

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