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Crab cavity voltage in HL1.3
R. De Maria WP2 Meeting 12/6/2017
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Introduction Crab cavities generates a correlation at IP between the arrival time and the transverse position to maximize luminosity. x(s=IP-s0,z)≈px s0 – R12Vcrab sin(ω z/c) where z=s-ct crabbing angle: θcrab= 2 R12Vcrab ω z/c crossing angle: θxing= 2 px luminosity is maximal when θcrab~1.1 θxing In the local scheme, two crab cavities in between are need to cancel the correlation outside. cancellation cannot be perfect since phase advance is close but not exactly π matching voltage done to reduce the maximum leakage in machine (crabbing leaks in the other IPs, e.g σ) L. Medina
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Crabbing angle and voltage for 2 cavities
HLLHCV1.2 (2cav) H V Θxing [µrad] 374 379 ACFA/B LB1 [MV] 3.4 ACFA/B RB1 [MV] 3.18 3.37 ACFA/B LB2 [MV] -3.18 -3.37 ACFA/B RB2 [MV] -3.4 Left Right HLLHCV1.2 (2cav) βx βy ACFB LB1 [m] 3548 3651 ACFA LB1 [m] 3589 3768 ACFA RB2 [m] 4208 3739 ACFB RB2 [m] 4085 3698 Beam 2 optics βx<->βy
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Crabbing angle and voltage for 2 cavities
HLLHCV1.3 H V Θxing [µrad] 378 385 ACFA/B LB1 [MV] 3.4 ACFA/B RB1 [MV] 3.18 3.37 ACFA/B LB2 [MV] -3.18 -3.37 ACFA/B RB2 [MV] -3.4 Left Right HLLHCV1.3 βx βy ACFB LB1 [m] 3615 3713 ACFA LB1 [m] 3656 3830 ACFA RB2 [m] 4268 3805 ACFB RB2 [m] 4145 3764 Beam 2 optics βx<->βy
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Crabbing angle and voltage for 2 cavities
HLLHCV1.3 H V Θxing [µrad] 379 384 ACFA/B LB1 [MV] 3.4 ACFA/B RB1 [MV] 3.18 3.37 ACFA/B LB2 [MV] -3.18 -3.37 ACFA/B RB2 [MV] -3.4 Left Right Symmetric layout for Point 1 and Point 5, optimize both H and V crossing. Possible improvements at some cost: Dissimmetrize IR1/5 layout for specific crossing plane. Dissimmetrize IR1/5 optics for specific crossing plane. Reduce margin for Q7. Lift optics constraints (e.g. dispersion in the arc)
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