Final published version
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Calculation of RF pulse evolution due to dispersion in travelling wave linacs using Fourier methods
AU - Cowie, L.
AU - McKenzie, J.
AU - Burt, G.
N1 - Export Date: 6 June 2024 CODEN: NIMAE Correspondence Address: Cowie, L.; ASTeC, Daresbury, Cheshire, United Kingdom; email: louise.cowie@stfc.ac.uk
PY - 2024/7/31
Y1 - 2024/7/31
N2 - An rf pulse propagating through a travelling wave linac can be seen to evolve due to dispersion. To accurately predict the field amplitude experienced by electron bunches travelling through the cavity, this pulse evolution must be well known. Here we present an method to predict the pulse evolution using Fourier methods. The method requires two inputs to calculate the dispersion: the group velocity as a function of cell number, and the phase advance. Attenuation is included in the model with the addition of a third input: the cavity Q0. The method is faster and more simple than 3D modelling, and allows subtle details of the pulse evolution to be revealed, without the need to know the exact dimensions of the structure. A synchronism condition can be added to predict the voltage experienced by a particle beam. The model is tested on the first CLARA linac, and shows good agreement both with measurements of the rf pulse and with measurements of the beam momentum as the time of beam injection is varied.
AB - An rf pulse propagating through a travelling wave linac can be seen to evolve due to dispersion. To accurately predict the field amplitude experienced by electron bunches travelling through the cavity, this pulse evolution must be well known. Here we present an method to predict the pulse evolution using Fourier methods. The method requires two inputs to calculate the dispersion: the group velocity as a function of cell number, and the phase advance. Attenuation is included in the model with the addition of a third input: the cavity Q0. The method is faster and more simple than 3D modelling, and allows subtle details of the pulse evolution to be revealed, without the need to know the exact dimensions of the structure. A synchronism condition can be added to predict the voltage experienced by a particle beam. The model is tested on the first CLARA linac, and shows good agreement both with measurements of the rf pulse and with measurements of the beam momentum as the time of beam injection is varied.
KW - Analytical modelling
KW - RF dispersion
KW - RF structures
KW - Travelling wave linacs
KW - 3D modeling
KW - Forecasting
KW - Linear accelerators
KW - Wave transmission
KW - Analytical modeling
KW - Field amplitudes
KW - Fourier methods
KW - Measurements of
KW - Pulse evolution
KW - RF pulse
KW - RF structure
KW - Traveling wave linac
KW - Travelling waves
KW - Dispersion (waves)
U2 - 10.1016/j.nima.2024.169464
DO - 10.1016/j.nima.2024.169464
M3 - Journal article
VL - 1064
JO - Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
JF - Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
SN - 0168-9002
M1 - 169464
ER -