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This paper presents a computationally efficient framework for identifyingresonance modes of 3D radio-frequency (RF) cavities with damping waveguideports. The proposed framework relies on surface integral equation (IE)formulations to convert the task of resonance detection to the task of findingresonance frequencies at which the lowest few eigenvalues of the system matrixis close to zero. For the linear eigenvalue problem \rev{with a fixedfrequency}, we propose leveraging fast direct solvers to efficiently invert thesystem matrix; for the frequency search problem, we develop a hybridoptimization algorithm that combines Bayesian optimization with down-hillsimplex optimization. The proposed IE-based resonance detection framework(IERD) has been applied to detection of high-order resonance modes (HOMs) ofrealistic accelerator RF cavities to demonstrate its efficiency and accuracy.

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