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arXiv · 2309.04073

Generalized Panofsky-Wenzel theorem in curvilinear coordinate systems applicable to non-ultrarelativistic beams

Demin Zhou·Cheng-Ying Tsai
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Abstract

This note gives an introduction to the theories of impedances and wakes in particle accelerators. The standard formulation assumes that the beam is traveling along a straight orbit with constant velocity $\vec{v}=v\vec{e}_z$. On this note, we show the possibility of extending the formulation for beams traveling along a curved orbit but assuming $|\vec{v}|=v$ to be constant.

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Demin Zhou, Cheng-Ying Tsai. 2023-09-08. Generalized Panofsky-Wenzel theorem in curvilinear coordinate systems applicable to non-ultrarelativistic beams. https://arxiv.org/abs/2309.04073

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