Speaker
Description
We present a first-order Hamiltonian model describing a beam in a traveling-wave RF structure given the on-axis electric field. Using the infinitesimal transfer matrix formalism, the linear optics about the accelerating reference particle are computed. The spatial phase advance is obtained from electromagnetic field data by extracting the accumulated phase and differentiating it to determine the local wave number k(s), providing a systematic reduction from full field descriptions to a reduced-order beam dynamics model. The model is implemented in the first order envelope code TRANSOPTR, with its results benchmarked against the particle tracking code ASTRA. Near perfect agreement is observed in the limit of negligible space charge, while good accuracy is maintained for higher-space charge applications. The TRANSOPTR model provides a practical framework for efficient tuning and optimization of systems incorporating traveling-wave linacs.
Funding Agency
This work was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) under grant number SAPIN-2026-00037.
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