Two-Level Antenna Modeling with Domain Confinement and Explicit Dimensionality Reduction

S. Koziel, A. Pietrenko‐Dabrowska
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Abstract

Full-wave electromagnetic (EM) simulations are essential to reliable evaluation of modern antenna structures. Yet, high computational cost of EM analysis poses a serious challenge for EM-driven antenna design. A possible workaround is to utilize fast surrogates. However, the curse of dimensionality hinders the applicability of the conventional surrogate-assisted frameworks beyond simple structures described by a few parameters. A workaround is offered by the recently proposed nested kriging technique, where the surrogate domain is confined to the parameter space region containing high-quality designs, which allows for setting up reliable models at a low cost. Here, this expenses are further reduced through an explicit domain dimensionality reduction by means of principal component analysis.
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具有域约束和显式降维的两级天线建模
全波电磁仿真是对现代天线结构进行可靠评估的重要手段。然而,电磁分析的高计算成本对电磁驱动天线的设计提出了严峻的挑战。一个可能的解决方法是利用快速代理。然而,维度的诅咒阻碍了传统的替代辅助框架的适用性,超出了由几个参数描述的简单结构。最近提出的嵌套克里格技术提供了一种解决方案,其中代理域局限于包含高质量设计的参数空间区域,这允许以低成本建立可靠的模型。在这里,通过主成分分析的显式域降维,进一步减少了这一费用。
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