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For the measurement of the electric dipole moment of protons and deuterons, anovel waveguide RF Wien filter has been designed and will soon be integrated atthe COoler SYnchrotron at J\"ulich. The device operates at the harmonicfrequencies of the spin motion. It is based on a waveguide structure that iscapable of fulfilling the Wien filter condition ($\vec{E} \perp \vec{B}$)\textit{by design}. The full-wave calculations demonstrated that the waveguideRF Wien filter is able to generate high-quality RF electric and magneticfields. In reality, mechanical tolerances and misalignments decrease thesimulated field quality, and it is therefore important to consider them in thesimulations. In particular, for the electric dipole moment measurement, it isimportant to quantify the field errors systematically. Since Monte-Carlosimulations are computationally very expensive, we discuss here an efficientsurrogate modeling scheme based on the Polynomial Chaos Expansion method tocompute the field quality in the presence of tolerances and misalignments andsubsequently to perform the sensitivity analysis at zero additionalcomputational cost.

Polynomial Chaos Expansion method as a tool to evaluate and quantify field homogeneities of a novel waveguide RF Wien Filter