Stochastic Polynomial Chaos Expansion Analysis of a Split-Ring Resonator at Terahertz Frequencies

Abstract

Polynomial chaos expansion (PCE) technique is applied to a conducting array of split-ring resonator to study the effect of the uncertainties of its design parameters on its reflectance at terahertz frequencies. The uniformly distributed random input design parameters have been considered. The first (average) and second (standard deviation) moments are estimated using the PCE. Strong variation of the output response caused by the uncertainties of the design parameters has been noticed. A sensitivity analysis has been carried out to assess the influence of each input parameters on the reflectance. The results show the effectiveness of the PCE and demonstrate that the PCE can be a useful statistical tool to analyze electromagnetic structures.