Detecting resonance of radio-frequency cavities using fast direct integral equation solvers and augmented Bayesian optimization

This paper presents a computationally efficient framework for identifying resonance modes of 3D radio-frequency (RF) cavities with damping waveguide ports. The proposed framework relies on surface integral equation (IE) formulations to convert the task of resonance detection to the task of finding r...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Liu, Yang, Luo, Tianhuan, Aman Rani, Luo, Hengrui, Xiaoye Sherry Li
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 30.08.2023
Subjects
Algorithms
Bayesian analysis
Damping
Eigenvalues
Integral equations
Mathematical analysis
Optimization
Physics - Accelerator Physics
Physics - Computational Physics
Radio frequency
Resonance
Solvers
Waveguides
Online AccessGet full text

Cover

More Information
Summary:This paper presents a computationally efficient framework for identifying resonance modes of 3D radio-frequency (RF) cavities with damping waveguide ports. The proposed framework relies on surface integral equation (IE) formulations to convert the task of resonance detection to the task of finding resonance frequencies at which the lowest few eigenvalues of the system matrix is close to zero. For the linear eigenvalue problem \rev{with a fixed frequency}, we propose leveraging fast direct solvers to efficiently invert the system matrix; for the frequency search problem, we develop a hybrid optimization algorithm that combines Bayesian optimization with down-hill simplex optimization. The proposed IE-based resonance detection framework (IERD) has been applied to detection of high-order resonance modes (HOMs) of realistic accelerator RF cavities to demonstrate its efficiency and accuracy.
ISSN:2331-8422
DOI:10.48550/arxiv.2305.05918