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In high-intensity beam transport systems, the interaction between resonance and instability significantly impacts beam quality and transmission efficiency. This study aims to investigate the intrinsic link between resonance excitation and instability growth in mismatched high-intensity beams propagating through periodic focusing channels.
Based on envelope oscillation theory, this paper proposes and implements an improved numerical method to accurately capture the generation and evolution of instabilities under various resonance conditions. Through systematic parameter space scanning, regions dominated by specific resonance modes are identified, and optimization strategies are proposed to mitigate their adverse effects, thereby enabling more stable and efficient beam transport.
The proposed approach not only deepens the physical understanding of the coupling mechanism between resonance and instability but also provides a viable technical pathway for optimizing beam matching and lattice design. Future work will extend this method to more complex multidimensional models and incorporate experimental validation to bridge theoretical predictions with engineering applications.
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