Isogeometric Analysis Simulation of TESLA Cavities Under Uncertainty

TL;DR

This paper employs isogeometric analysis combined with stochastic methods to accurately evaluate how geometric uncertainties affect eigenmode frequencies in TESLA accelerator cavities, enhancing design robustness.

Contribution

It introduces an IGA-based approach for uncertainty quantification in electromagnetic cavity simulations, enabling precise sensitivity analysis of eigenmodes under geometric variations.

Findings

IGA provides exact geometry representation and high regularity.

Monte Carlo and stochastic collocation effectively quantify uncertainties.

Improved understanding of eigenmode sensitivity to shape changes.

Abstract

In the design of electromagnetic devices the accurate representation of the geometry plays a crucial role in determining the device performance. For accelerator cavities, in particular, controlling the frequencies of the eigenmodes is important in order to guarantee the synchronization between the electromagnetic field and the accelerated particles. The main interest of this work is in the evaluation of eigenmode sensitivities with respect to geometrical changes using Monte Carlo simulations and stochastic collocation. The choice of an IGA approach for the spatial discretization allows for an exact handling of the domains and their deformations, guaranteeing, at the same time, accurate and highly regular solutions.