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Published byEsben Rasmussen Modified over 5 years ago
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Transverse impedance of trapped modes in LHC collimator
A.Grudiev RLC meeting
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r=2R Shunt impedance Accelerator definition: r
RLC-circuit definition: R r=2R Use loss(kick) factor instead of impedance
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Kick factor of transverse modes
Two formula have been used in order to check numerical accuracy:
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Table of transverse mode parameters: gap = 5 and 2.5 mm
gap = 5 mm f[GHz] Q ry[kΩ/m] ky[V/nC/mm] Δky[%] gap =2.5 mm f[GHz] Q ry[kΩ/m] ky[V/nC/mm] Δky[%]
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Estimate of tune shift due to l=0 head-tail mode in SPS
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Tune shift due higher order head-tail modes
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Transverse impedance calculated using Gdfidl (red) and reconstructed from HFSS data (blue)
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