Sensitivity analysis of a multilayer shielding device based on graphene

The MATLAB® RSTool is here used in order to derive an analytic expression of the shielding effectiveness (SE) of a device obtained by stacking a variable number of CVD graphene planes (GP) on poly-methyl methacrylate (PMMA). The range [1-9] of GP/PMMA number of stacking is explored taking in to account available experimental results. This parameter is considered as “controllable parameter” whereas the electrical conductivity of the GP as “uncontrollable parameter” with fixed nominal and tolerance value, since it is a new-generation material and its fabrication intrinsically suffers from heavy uncertainties. Moreover, the thickness of the PMMA, which nominal value can be changed, is also considered as “uncontrollable parameter” due to the technological limitation to control it. A quadratic expression of the SE is derived by interpolating a few number of numerical solution obtained by FEM-solving the electromagnetic problem in particular points of the parameter space, choosen according to a Design of Experiment (DoE) approach. Vertex Analysis, applied on the equation obtained for a fixed number of layers, is used to assess the sensitivity of the device with respect to the heavy and not avoidable uncertainties that affect the production process.