Isogeometric Analysis Simulation of TESLA Cavities Under Uncertainty

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.

References in corpus (2)

• The Superconducting TESLA Cavities
• Isogeometric Simulation of Lorentz Detuning in Superconducting Accelerator Cavities

Cited by in corpus (4)

• Uncertainty Quantification for Maxwell's Eigenproblem based on Isogeometric Analysis and Mode Tracking
• Constrained multi-objective shape optimization of superconducting RF cavities considering robustness against geometric perturbations
• IGA-based Multi-Index Stochastic Collocation for random PDEs on arbitrary domains
• Uncertainty Modeling and Analysis of the European X-ray Free Electron Laser Cavities Manufacturing Process