Authors: Ravi Kumar Arya1 , Pierric Kersaudy2,4 , Joe Wiart2,3 and Raj Mittra1,5
Source: FERMAT,Volume 12,Article 2,Nov-Dec,2015
Abstract: In many real world scenarios, there is always a difference between the performances of simulated and fabricated structures, often due to fabrication tolerances that introduce statistical variations in the physical parameters, e.g., the element size or the periodicity of a Frequency Selective Surface (FSS). In this communication, we address the problem of modeling periodic structures with statistical variations in their geometries, as is typically the case with Metamaterial devices designed for optical wavelengths, where the difficulties in their fabrication almost always introduce small variations in the dimensions of the elements that comprise the “periodic” array
Index Terms: Periodic Structures, Frequency Selective Surfaces (FSS), Polynomial Chaos Expansion, Latin Hypercube Sampling, Least–Angle Regression, Leave–One–Out Cross Validation.
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Statistical Analysis of Periodic Structures and Frequency Selective Surfaces using the Polynomial Chaos Expansions