Isogeometric Simulation of Lorentz Detuning in Superconducting Accelerator Cavities

TL;DR

This paper introduces an isogeometric analysis approach for accurately and efficiently simulating Lorentz detuning effects in superconducting accelerator cavities, addressing geometric and computational challenges of traditional methods.

Contribution

The paper presents a novel coupled multiphysics simulation method using isogeometric analysis for precise Lorentz detuning estimation in accelerator cavities.

Findings

High accuracy in frequency shift estimation

Reduced computational cost compared to finite element methods

Effective coupling of mechanical and electromagnetic simulations

Abstract

Cavities in linear accelerators suffer from eigenfrequency shifts due to mechanical deformation caused by the electromagnetic radiation pressure, a phenomenon known as Lorentz detuning. Estimating the frequency shift up to the needed accuracy by means of standard Finite Element Methods, is a complex task due to the non exact representation of the geometry and due to the necessity for mesh refinement when using low order basis functions. In this paper, we use Isogeometric Analysis for discretising both mechanical deformations and electromagnetic fields in a coupled multiphysics simulation approach. The combined high-order approximation of both leads to high accuracies at a substantially lower computational cost.