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Simulation of Longitudinal and Transverse Impedance of TCDD (original geometry)

Simulation of Longitudinal and Transverse Impedance of TCDD (original geometry). Grudiev 28.10.2005. TCDD geometry (original proposal). TCDD geometry (original proposal). closed. open. Longitudinal Impedance from GdfidL. Mode#1. Mode#2. Longitudinal Impedance from GdfidL.

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Simulation of Longitudinal and Transverse Impedance of TCDD (original geometry)

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  1. Simulation of Longitudinal and Transverse Impedance of TCDD (original geometry) Grudiev 28.10.2005

  2. TCDD geometry (original proposal)

  3. TCDD geometry (original proposal) closed open

  4. Longitudinal Impedance from GdfidL Mode#1 Mode#2

  5. Longitudinal Impedance from GdfidL Z/n = 13.5 mΩ Z/n = 10.1 mΩ LHC total broad band longitudinal impedance ~ 70 mΩ

  6. Longitudinal impedance from HFSS Mode#1 f = 78.5 MHz, Q=6320, rl/Q = 157.5 LinacΩ, kl = 19.4 V/nC For LHC beam: 80mm x 16nC x 40 MHz and assuming f = 80 MHz: Ploss ~ 400 kW

  7. Longitudinal impedance from HFSS Mode#2 f = 648 MHz, Q=18400, rl/Q = 21 LinacΩ, kl = 21.6 V/nC For LHC beam: 80mm x 16nC x 40 MHz and assuming f = 680 MHz: Ploss ~ 44 kW

  8. Transverse Impedance from GdfidL Mode#1

  9. Transverse Impedance from GdfidL LHC total broad band transverse impedance ~ 2000 kΩ/m Zy = 12 kΩ/m

  10. Transverse impedance from HFSS Mode#1 f = 54.8 MHz, Q=4870, rt/Q = 20200 LinacΩ/m, kt = 1800 V/nC/m, Rt = 49.2 MΩ/m

  11. Vertical tune shift LHC injection pars: E=450 GeV σz = 115 mm N = 1011 f0 = 11.2455 kHz Qy = 59.31 ξ = 0

  12. Vertical tune shift

  13. Recommendations • To avoid transverse mode#1 rf contact between upper and lower parts of the absorber is necessary • To avoid longitudinal mode#1 rf contact between beam pipe aperture and absorber aperture is necessary on each side • To reduce broad band impedance smooth (~15o) transition from beam pipe aperture (round) to absorber aperture (rectangular) is necessary on each side

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