**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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