580
M. Lamont et al.
27. A. Wegscheider, A. Langner, R. Tomas and A. Franchi: Analytical N beam position monitor
method, Phys. Rev. Accel. Beams 20, 111002 (2017).
28. R. Bartolini, F. Schmidt: A Computer Code for Frequency Analysis of Non-Linear Betatron
Motion, CERN SL-Note-98-017-AP (1998).
29. J. Irwin, C.X. Wang, Y.T. Yan, K.L.F. Bane, Y. Cai, F.-J. Decker, M.G. Minty, G.V. Stupakov,
F. Zimmermann: Model-Independent Beam Dynamics Analysis, Phys. Rev. Lett. 82(8) (1999)
1684.
30. W. Guo et al., A lattice correction approach through betatron phase advance, in Proceedings
of IPAC’16, Busan, Korea, 2016.
31. L. Malina et al., Improving the precision of linear optics measurements based on turn-byturn beam position monitor data after a pulsed excitation in lepton storage rings, Phys. Rev.
Accel. Beams 20, 082802 (2017).
32. M. Bai, et al.: Overcoming Intrinsic Spin Resonances with an rf Dipole, Phys. Rev. Lett.
80(21) (1998) 4673.
33. R. Tomás, Adiabaticity of the ramping process of an ac dipole, Phys. Rev. ST Accel. Beams
8, 024401 (2005).
34. S. Peggs, C. Tang: Nonlinear diagnostics using an AC Dipole, BNL RHIC/AP/159 (1998).
35. R. Tomás: Normal form of particle motion under the influence of an ac dipole, Phys. Rev. ST
Accel. Beams 5 (2002) 054001.
36. S. White, E. Maclean and R. Tomás: Direct amplitude detuning measurement with ac dipole,
Phys. Rev. ST. Accel. Beams, 16, 071002.
37. R. Tomás et al.: Beam-beam amplitude detuning with forced oscillations, Phys. Rev. Accel.
and beams 20, 101002 (2017).
38. R. Miyamoto, S.E. Kopp, A. Jansson, M.J. Syphers: Parametrization of the driven betatron
oscillation, Phys. Rev. ST Accel. Beams 11 (2008) 084002.
39. R. Tomás, M. Bai, R. Calaga, W. Fischer, A. Franchi, and G. Rumolo, Measurement of global
and local resonance terms, Phys. Rev. ST Accel. Beams 8, issue 2, 024001 (2005).
40. R. Bartolini, F. Schmidt: Normal Form via Tracking or Beam Data, Part. Accel. 59 (1998) 93.
41. R. Calaga, R. Tomás, A. Franchi: Betatron coupling: Merging Hamiltonian and matrix
approaches, Phys. Rev. ST Accel. Beams 8 (2005) 034001.
42. M. Benedikt, F. Schmidt, R. Tomás, P. Urschütz, A. Faus-Golfe: Driving term experiments at
CERN, Phys. Rev. ST Accel. Beams 10 (2007) 034002.
43. Y. Alexahin and E. Gianfelice-Wendt: Determination of linear optics functions from turn-byturn data, Journal of Instrumentation 6, P10006 (2011).
44. T. H. B. Persson and R. Tomás: Improved control of the betatron coupling in the Large Hadron
Collider, Phys. Rev. ST Accel. Beams 17, 051004 (2014).
45. A. Franchi: Studies and Measurements of Linear Coupling and Nonlinearities in Hadron
Circular Accelerators, PhD thesis, GSI DISS 2006-07 (2006).
46. E.H. Maclean, R. Tomás, F. Schmidt and T.H.B. Persson, Measurement of LHC nonlinear
observables using kicked beams, Phys. Rev. ST. Accel. Beams, 17, 081002.
47. R. Tomas, T.H.B Persson and E.H. Maclean, Amplitude dependent closest tune approach,
Phys. Rev. Accel. Beams 19, 071003 (2016)
48. M. Aiba, R. Calaga, A. Morita, R. Tomás, G. Vanbavinckhove: Optics correction in the LHC,
Proc. EPAC 2008, Genoa, Italy.
49. T. Persson et al.: HC optics commissioning: A journey towards 1% optics control, Phys. Rev.
Accel. Beams, 20, 061002 (2017).
50. R. Bartolini, et al.: Correction of multiple nonlinear resonances in storage rings, Phys. Rev.
ST Accel. Beams 11 (2008) 104002.
51. M. Aiba, et al.: First β-beating measurement and optics analysis for the CERN Large Hadron
Collider, Phys. Rev. ST Accel. Beams 12 (2009) 081002.
52. R. Tomás, O. Brüning, M. Giovannozzi, P. Hagen, M. Lamont, F. Schmidt, G. Vanbavinckhove, M. Aiba, R. Calaga, R. Miyamoto: CERN Large Hadron Collider optics model,
measurements, and corrections, Phys. Rev. ST Accel. Beams 13 (2010) 121004.
M. Lamont et al.
27. A. Wegscheider, A. Langner, R. Tomas and A. Franchi: Analytical N beam position monitor
method, Phys. Rev. Accel. Beams 20, 111002 (2017).
28. R. Bartolini, F. Schmidt: A Computer Code for Frequency Analysis of Non-Linear Betatron
Motion, CERN SL-Note-98-017-AP (1998).
29. J. Irwin, C.X. Wang, Y.T. Yan, K.L.F. Bane, Y. Cai, F.-J. Decker, M.G. Minty, G.V. Stupakov,
F. Zimmermann: Model-Independent Beam Dynamics Analysis, Phys. Rev. Lett. 82(8) (1999)
1684.
30. W. Guo et al., A lattice correction approach through betatron phase advance, in Proceedings
of IPAC’16, Busan, Korea, 2016.
31. L. Malina et al., Improving the precision of linear optics measurements based on turn-byturn beam position monitor data after a pulsed excitation in lepton storage rings, Phys. Rev.
Accel. Beams 20, 082802 (2017).
32. M. Bai, et al.: Overcoming Intrinsic Spin Resonances with an rf Dipole, Phys. Rev. Lett.
80(21) (1998) 4673.
33. R. Tomás, Adiabaticity of the ramping process of an ac dipole, Phys. Rev. ST Accel. Beams
8, 024401 (2005).
34. S. Peggs, C. Tang: Nonlinear diagnostics using an AC Dipole, BNL RHIC/AP/159 (1998).
35. R. Tomás: Normal form of particle motion under the influence of an ac dipole, Phys. Rev. ST
Accel. Beams 5 (2002) 054001.
36. S. White, E. Maclean and R. Tomás: Direct amplitude detuning measurement with ac dipole,
Phys. Rev. ST. Accel. Beams, 16, 071002.
37. R. Tomás et al.: Beam-beam amplitude detuning with forced oscillations, Phys. Rev. Accel.
and beams 20, 101002 (2017).
38. R. Miyamoto, S.E. Kopp, A. Jansson, M.J. Syphers: Parametrization of the driven betatron
oscillation, Phys. Rev. ST Accel. Beams 11 (2008) 084002.
39. R. Tomás, M. Bai, R. Calaga, W. Fischer, A. Franchi, and G. Rumolo, Measurement of global
and local resonance terms, Phys. Rev. ST Accel. Beams 8, issue 2, 024001 (2005).
40. R. Bartolini, F. Schmidt: Normal Form via Tracking or Beam Data, Part. Accel. 59 (1998) 93.
41. R. Calaga, R. Tomás, A. Franchi: Betatron coupling: Merging Hamiltonian and matrix
approaches, Phys. Rev. ST Accel. Beams 8 (2005) 034001.
42. M. Benedikt, F. Schmidt, R. Tomás, P. Urschütz, A. Faus-Golfe: Driving term experiments at
CERN, Phys. Rev. ST Accel. Beams 10 (2007) 034002.
43. Y. Alexahin and E. Gianfelice-Wendt: Determination of linear optics functions from turn-byturn data, Journal of Instrumentation 6, P10006 (2011).
44. T. H. B. Persson and R. Tomás: Improved control of the betatron coupling in the Large Hadron
Collider, Phys. Rev. ST Accel. Beams 17, 051004 (2014).
45. A. Franchi: Studies and Measurements of Linear Coupling and Nonlinearities in Hadron
Circular Accelerators, PhD thesis, GSI DISS 2006-07 (2006).
46. E.H. Maclean, R. Tomás, F. Schmidt and T.H.B. Persson, Measurement of LHC nonlinear
observables using kicked beams, Phys. Rev. ST. Accel. Beams, 17, 081002.
47. R. Tomas, T.H.B Persson and E.H. Maclean, Amplitude dependent closest tune approach,
Phys. Rev. Accel. Beams 19, 071003 (2016)
48. M. Aiba, R. Calaga, A. Morita, R. Tomás, G. Vanbavinckhove: Optics correction in the LHC,
Proc. EPAC 2008, Genoa, Italy.
49. T. Persson et al.: HC optics commissioning: A journey towards 1% optics control, Phys. Rev.
Accel. Beams, 20, 061002 (2017).
50. R. Bartolini, et al.: Correction of multiple nonlinear resonances in storage rings, Phys. Rev.
ST Accel. Beams 11 (2008) 104002.
51. M. Aiba, et al.: First β-beating measurement and optics analysis for the CERN Large Hadron
Collider, Phys. Rev. ST Accel. Beams 12 (2009) 081002.
52. R. Tomás, O. Brüning, M. Giovannozzi, P. Hagen, M. Lamont, F. Schmidt, G. Vanbavinckhove, M. Aiba, R. Calaga, R. Miyamoto: CERN Large Hadron Collider optics model,
measurements, and corrections, Phys. Rev. ST Accel. Beams 13 (2010) 121004.