@techreport{sixtrack_user_guide,
  author = "F. Schmidt",
  title = "{SIXTRACK}: Single particle tracking code treating transverse motion with synchrotron oscillations in a symplectic manner",
        institution = "{CERN}",
        number = "94-56",
  year = "1994"
}

@techreport{racetrack,
  author = "A. Wrulich",
  title = "{RACETRACK}: a computer code for the nonlinear particle motion in accelerators",
        institution = {DESY},
  number = "84-026",
  year = "1984"
}

@techreport{beamoptics,
  author = "F. Willeke and G. Ripken",
  title = "Methods of Beam Optics",
        institution = {DESY},
  number = "88-114",
  year = "1988"
}

@techreport{beam_beam,
  author = "L.H.A. Leunissen and F. Schmidt and G. Ripken",
  title = "{6D} Beam-Beam Kick including Coupled Motion",
  institution = "",
        number = "",
  year = "2001"
}

@techreport{rf_multipoles,
  author = "A. Latina and R. De Maria",
  title = "{RF} multipole implementation",
  institution = "CERN-ATS",
        note = "2012-088"
}

@techreport{ripken85,
  author = "G. Ripken",
  title = "Non-Linear Canonical Equations of Coupled Synchro-Betatron Motion and their Solutions within the Framework of a Non-Linear Six-Dimensional (Symplectic) Tracking Program for Ultrarelativistic Protons",
        institution = {DESY},
  number = "85-084",
  year = "1985"
}

@techreport{barber87,
  author = "D.P. Barber and G. Ripken and F. Schmidt",
  title = "A non-linear canonical formalism for the coupled synchro-betatron motion of protons with arbitrary energy",
        institution = {DESY},
  number = "87-36",
        year = "1987"
}

@techreport{ripken95,
  author = "G. Ripken and F. Schmidt",
  title = "A symplectic Six-Dimensional Thin-Lens Formalism for Tracking",
        institution = {DESY, CERN},
  number = "DESY 95-63 and CERN/SL/95-12(AP)",
        year = "1995"
}

@techreport{heinemann95,
  author = "K. Heinemann and G. Ripken and F. Schmidt",
  title = "Construction of nonlinear symplectic six-dimensional thin-lens maps by exponentiation",
        institution = {DESY},
  number = "95-189",
        year = "1995"
}

@techreport{barber96,
  author = "D.P. Barber and K. Heinemann and G. Ripken and F. Schmidt",
  title = "Symplectic thin-lens transfer maps for {SIXTRACK}: Treatment of bending magnets in terms of the exact Hamiltonian",
        institution = {DESY},
  number = "96-156",
        year = "1996"
}

@techreport{mad8phys,
  author = "F. C. Iselin",
  title = "The MAD Program (Methodical Accelerator Design) - Physics Methods Manual",
        institution = {CERN},
  number = "CERN/SL/92-?? (AP)",
        year = "1992"
}

@techreport{willeke88,
  author = "F. Willeke and G. Ripken",
  title = "Methods of Beam Optics",
        institution = {DESY},
  number = "88-114",
        year = "1988"
}

@book{forest99,
  author = "E. Forest",
  title = "Beam Dynamics: A New Attitude and Framework",
        publisher = "Harcourt Academic Publisher",
        year = "1999"
}



@article{bb6dnote,
      author        = "Iadarola, G and De Maria, R and Papaphilippou, Y",
      title         = "{6D beam-beam interaction step-by-step}",
      month         = "Dec",
      year          = "2017",
      journal  = "CERN-ACC-NOTE-2018-0023",
      url           = "https://cds.cern.ch/record/2306400",
}

@article{bb6dslides,
      author        = "Iadarola, G and De Maria, R and Papaphilippou, Y",
      title         = "{Modelling and implementation of the “6D” beam-beam interaction}",
      month         = "Dec",
      year          = "2017",
      journal  = "CERN-ACC- SLIDES-2018-001",
      url           = "https://cds.cern.ch/record/2306400",
}

@article{hirata,
      author        = "Hirata, K and Moshammer, H and Ruggiero, F",
      title         = "{A Symplectic Beam-Beam Interaction with Energy Change}",
      month         = "Dec",
      year          = "2017",
      journal  = "SLAC-PUB-10055",
}

@techreport{hirata_crossing_angle,
  title={Don't be afraid of beam-beam interactions with a large crossing angle},
  author={Hirata, Kohji},
  year={1994},
  number={SLAC-PUB-6375},
  url={https://cds.cern.ch/record/271786}
}

@article{casbeambeam,
      author        = "Herr, W and Pieloni, T",
      title         = "{Beam-Beam Effects}",
      year          = "2014",
      journal  = "in Proceedings of CAS - CERN Accelerator School: Advanced Accelerator Physics Course, 18 - 29 Aug 2013, Trondheim, Norway, CERN-2014-009",
}


@article{sixtracksite,
      title         = "{SixTrack Project website}",
      note           = "\url{http://cern.ch/sixtrack}",
}

@article{madsite,
      title         = "{MAD-X Project website}",
      note           = "\url{http://cern.ch/madx}",
}

@article{masksite,
      title   = "{LHC Mask Project webstite}",
      note           = "\url{http://lhcmaskdoc.web.cern.ch}", 
      }

@article{sixtracklibrepo,
      title        = "{SixTrackLib source code repository}",
      note           = "\url{http://github.com/ SixTrack/SixTrackLib}",
}


@article{bbmacrorepo,
      title        = "{Mad-X beam-beam macros, source code repository}",
      note           = "\url{https://github.com/lhcopt/beambeam\_macros}",
}

@book{wolski2014beam,
  title={Beam dynamics in high energy particle accelerators},
  author={Wolski, Andrzej},
  year={2014},
  publisher={World Scientific}
}

@book{Griffiths:111880,
author={Griffiths, D.},
title= {Introduction to elementary particles},
year={2008},
publisher="2nd rev. version, Wiley",
}

@article{Weizsacker1934,
author={Weizsäcker, C.},
title= "{Ausstrahlung bei Stössen sehr schneller Elektronen}",
journal="in Zeitschrift Für Physik, vol. 88, Sep. 1934, pp. 612-625.",
note="\url{https://doi.org/10.1007/BF01333110}"
}

@article{Williams:1935dka,
author={Williams, E.},
title="{Correlation of certain collision problems with radiation theory}",
journal="in Kong. Dan. Vid. Sel. Mat. Fys. Med., vol. 13N4, 1935, pp. 1-50.",
note="\url{https://inspirehep.net/literature/1377275}"
}

@article{Schulte:331845,
author={Schulte, D.},
title="{Study of electromagnetic and hadronic background in the interaction region of the TESLA collider}",
info="Ph.D. thesis, Hamburg University, Germany",
month="Apr.",
year="1997",
note="\url{https://cds.cern.ch/record/331845}"
}

@article{ARUTYUNIAN1963176,
author={Arutyunian, F. and Tumanian, V.}, 
title="{The Compton effect on relativistic electrons and the possibility of obtaining high energy beams}",
journal="in Physics Letters, vol. 4, 1963, pp. 176-178.",
note="\url{https://doi.org/10.1016/0031-9163(63)90351-2}"
}

@article{Bassetti:122227,
author={Bassetti, M. and Erskine, G.},
title="{Closed expression for the electrical field of a two-dimensional Gaussian charge}",
info="CERN, Geneva, Switzerland, Rep. CERN-ISR-TH-80-06, ISR-TH-80-06",
year=1980,
note="\url{https://cds.cern.ch/record/122227}"
}

@book{Halzen:1984mc,
author={Halzen, F. and Martin, A.},
title="{Quarks and Leptons: An Introductory Course in Modern Particle Physics}",
publusher="Wiley", 
year=1984,
note="\url{http://www.gammaexplorer.com/wp-content/uploads/2014/03/Quarks-and-Leptons-An-Introductory-Course-in-Modern-Particle-Physics.pdf}"
}

@article{guineapig,
title="\texttt{GUINEA-PIG} repository", note="\url{https://gitlab.cern.ch/clic-software/guinea-pig-legacy}"
}

@article{GINZBURG198347,
author={Ginzburg, I. and Kotkin, G. and Serbo, V. and Telnov, V.},
title="{Colliding ge and gg beams based on the single-pass e$\pm$e- colliders (VLEPP type)}",
journal="in Nuclear Instruments And Methods In Physics Research, vol. 205, pp. 47-68.",
year=1983,
note="\url{https://www.sciencedirect.com/science/article/pii/0167508783901734}"
}

@article{Yokoya:1985ab,
	author = "Yokoya, Kaoru",
	title = "{A Computer Simulation Code for the Beam-beam Interaction in Linear Colliders}",
	reportNumber = "KEK-Report-85-9",
	month = "10",
	year = "1985",
	note="\url{https://inspirehep.net/literature/218375}"
}

@article{chao_eq_emit,
    author = {Chao, Alexander W.},
    title = "{Evaluation of beam distribution parameters in an electron storage ring}",
    journal = {Journal of Applied Physics},
    volume = {50},
    number = {2},
    pages = {595-598},
    year = {2008},
    month = {07},
    abstract = "{The motion of a charged particle in a linear electromagnetic device can often be analyzed by using the transport matrices. For an electron storage ring, this technique has been applied to yield fruitful results such as the trajectory of the particle distribution center and the beam sizes and shapes in phase space. Coupling effects among the horizontal, vertical, and longitudinal motions are included in a straightforward manner.}",
    issn = {0021-8979},
    doi = {10.1063/1.326070},
    url = {https://doi.org/10.1063/1.326070},
    eprint = {https://pubs.aip.org/aip/jap/article-pdf/50/2/595/7966694/595\_1\_online.pdf},
}

@book{Forest_book1,
    author = "Forest, \'Etienne",
    title = "{Beam Dynamics: A New Attitude and Framework}",
    isbn = "978-90-5702-574-7",
    publisher = "Hardwood Academic / CRC Press",
    address = "Amsterdam, The Netherlands",
    series = "The Physics and Technology of Particle and Photon Beams",
    volume = "8",
    year = "1998"
}

@book{Forest_book2,
  title={From Tracking Code to Analysis: Generalised Courant-Snyder Theory for Any Accelerator Model},
  author={Forest, Etienne},
  year={2016},
  publisher={Springer}
}

@techreport{helmut_synrad_90,
      author        = "Burkhardt, H",
      title         = "{Monte Carlo generator for synchrotron radiation}",
      institution   = "CERN",
      reportNumber  = "CERN-LEP-Note-632",
      address       = "Geneva",
      year          = "1990",
      url           = "https://cds.cern.ch/record/443490",
}

@article{QIANG2004278,
title = {A parallel particle-in-cell model for beam–beam interaction in high energy ring colliders},
journal = {Journal of Computational Physics},
volume = {198},
number = {1},
pages = {278-294},
year = {2004},
issn = {0021-9991},
doi = {https://doi.org/10.1016/j.jcp.2004.01.008},
url = {https://www.sciencedirect.com/science/article/pii/S0021999104000282},
author = {Ji Qiang and Miguel A. Furman and Robert D. Ryne},
abstract = {In this paper we present a self-consistent simulation model of colliding beams in high energy ring colliders. The model, which is based on a particle-in-cell method, uses a new developed shifted effective Green function algorithm for the efficient calculation of the beam–beam interaction with arbitrary separation and large aspect ratio. The model uses transfer maps to treat the external focusing elements and a stochastic map to treat radiation damping and quantum excitation of the beams. In the parallel implementation we studied various strategies to deal with the particular nature of the colliding beam system – a system in which there can be significant particle movement between beam–beam collisions. We chose a particle-field decomposition approach instead of the conventional domain decomposition or particle decomposition approach. The particle-field approach leads to good load balance, reduced communication cost, and shows the best scalability on an IBM SP3 among the three parallel implementations we studied. A performance test of the beam–beam model on a Cray T3E, IBM SP3, and a PC cluster is presented. As an application, we studied the flip–flop instability in an electron–positron collider.}
}

@book{hofmann_2004, 
place={Cambridge}, 
series={Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology}, 
title={The Physics of Synchrotron Radiation}, DOI={10.1017/CBO9780511534973}, 
publisher={Cambridge University Press},
author={Hofmann, Albert}, 
year={2004},
}

@book{jackson,
  author = {Jackson, John David},
  title = {Classical Electrodynamics},
  edition = {3},
  publisher = {Wiley},
  address = {New York},
  year = {1998},
  isbn = {978-0471309321}
}

@incollection{CERN:Bjorken_Mtingwa:Intrabeam_Scattering,
	title        = {Intrabeam Scattering},
	author       = {Bjorken, James and Mtingwa, Sekazi},
	year         = 1983,
	booktitle    = {Particle Accelerators},
	publisher    = {Gordon and Breach Science Publishers},
	pages        = {115--143},
	url          = {https://s3.cern.ch/inspire-prod-files-a/a7d86ec1529ba6512d446523cd88c2d5},
	language     = {en}
}

@techreport{CERN:Antoniou:Revision_IBS_MADX,
	title        = {{Revision of Intrabeam Scattering with Non-Ultrarelativistic Corrections and Vertical Dispersion for MAD-X}},
	author       = {F. Antoniou and F. Zimmermann},
	year         = 2012,
	address      = {Geneva},
	url          = {https://cds.cern.ch/record/1445924},
	institution  = {{Cern}},
	reportnumber = {Cern-ats-2012-066}
}

@article{PRAB:Nagaitsev:IBS_formulas_fast_numerical_evaluation,
	title        = {{Intrabeam Scattering Formulas for Fast Numerical Evaluation}},
	author       = {Nagaitsev, Sergei},
	year         = 2005,
	month        = 5,
	journal      = {Phys. Rev. ST Accel. Beams},
	publisher    = {American Physical Society},
	volume       = 8,
	pages        = {064403},
	doi          = {10.1103/PhysRevSTAB.8.064403},
	url          = {https://link.aps.org/doi/10.1103/PhysRevSTAB.8.064403},
	issue        = 6,
	numpages     = 4
}

@article{NuclInstr:Zenkevich:IBSKineticKick,
	title        = {{A new Algorithm for the Kinetic Analysis of Intra-Beam Scattering in Storage Rings}},
	author       = {P, Zenkevich and O, Boine-Frankenheim and A, Bolshakov},
	year         = 2006,
	journal      = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment},
	publisher    = {Elsevier {BV}},
	volume       = 561,
	number       = 2,
	pages        = {284--288},
	doi          = {10.1016/j.nima.2006.01.013},
	url          = {https://doi.org/10.1016/j.nima.2006.01.013}
}

@article{PRAB:Bruce:IBSAnalyticalKick,
	title        = {{Time Evolution of the Luminosity of Colliding Heavy-Ion Beams in {BNL} Relativistic Heavy Ion Collider and {CERN} Large Hadron Collider}},
	author       = {R, Bruce and J. M, Jowett and M, Blaskiewicz and W, Fischer},
	year         = 2010,
	journal      = {{Physical Review Special Topics - Accelerators and Beams}},
	publisher    = {{American Physical Society (APS)}},
	volume       = 13,
	number       = 9,
	doi          = {10.1103/physrevstab.13.091001},
	url          = {https://doi.org/10.1103/physrevstab.13.091001}
}

@book{AIP:Anderson:Physics_Vade_Mecum,
    author       = {{H. L, Anderson}},
	title        = {{AIP 50th Anniversary: Physics Vade Mecum}},
	isbn         = {978-0883182895},
	pages        = {264},
	publisher    = {{American Institute of Physics}},
    year         = 1981,
}

@article{arXiv:Zampetakis:Interplay_SC_IBS_LHC_Chain,
	doi          = {10.48550/arxiv.2310.03504},
	author       = {Zampetakis, M. and Antoniou, F. and Asvesta, F. and Bartosik, H. and Papaphilippou, Y. and Hernández, A.S.},
	title        = {{Interplay of Space Charge and Intra-Beam Scattering in the LHC Ion Injector Chain}},
	publisher    = {arXiv},
	url          = {https://arxiv.org/abs/2310.03504},
	notes		 = {to be published},
	year         = 2023
}

@book{Lee:2018fhc,
    author = "Lee, Shyh-yuan",
    title = "{Accelerator Physics (Fourth Edition)}",
    doi = "10.1142/11111",
    isbn = "978-981-327-468-6, 978-981-327-467-9",
    publisher = "World Scientific Publishing Company",
    year = "2018"
}

@article{Hwang2019AnalyticalAN,
  title={Analytical and numerical analysis of longitudinally coupled transverse dynamics of Pulse Picking by Resonant Excitation in storage rings serving timing and high-flux users simultaneously},
  author={Ji-Gwang Hwang and Marten Koopmans and Markus Ries and Andreas Schälicke and Roman Muller},
  journal={Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment},
  year={2019},
  url={https://api.semanticscholar.org/CorpusID:198449260}
}

@thesis{Mounet:Thesis,
      author        = "Mounet, Nicolas",
      title         = "{The LHC Transverse Coupled-Bunch Instability}",
      school        = "Ecole Polytechnique, Lausanne",
      year          = "2012",
      url           = "https://cds.cern.ch/record/1451296",
      note          = "Presented 2012",
      doi           = "10.5075/epfl-thesis-5305",
}


@book{Chao:CollectiveInst,
    author = "Chao, A. W.",
    title = "{Physics of collective beam instabilities in high-energy accelerators}",
    isbn = "978-0-471-55184-3",
    year = "1993"
}

@techreport{luo2004phase,
  title = {Possible phase loop for the global betatron decoupling},
  author = {Y. Luo and P. Cameron and S. Peggs and D. Trbojevic},
  institution = {Brookhaven National Laboratory},
  address = {Upton, NY 11973, USA},
  number = {CAD/AP/174},
  year = {2004},
  month = {October 4},
}

@inproceedings{Jones:2020hhl,
    author = "Jones, Rhodri",
    title = "{Measuring Tune, Chromaticity and Coupling}",
    eprint = "2005.02753",
    archivePrefix = "arXiv",
    primaryClass = "physics.acc-ph",
    month = "5",
    year = "2020"
}


@article{poth1990electron,
    title = {{Electron cooling: theory, experiment, application}},
    year = {1990},
    journal = {Physics reports},
    author = {Poth, Helmut},
    number = {3-4},
    pages = {135--297},
    volume = {196},
    publisher = {Elsevier}
}

@manual{Sagan:BmadManual,
  author       = {David C. Sagan},
  title        = {Bmad Reference Manual},
  organization = {Cornell Laboratory for Accelerator-Based Sciences and Education},
  year         = {2025},
  note         = {Available at \url{https://www.classe.cornell.edu/bmad/}}
}

@book{hoffstaetter2006high,
  title     = {High-Energy Polarized Proton Beams: A Modern View},
  author    = {Hoffstaetter, Georg H.},
  year      = {2006},
  publisher = {Springer},
  series    = {Springer Tracts in Modern Physics},
  volume    = {218},
  isbn      = {978-0-387-34679-3},
  address   = {Berlin, Heidelberg}
}

@article{Chao:1980fz,
    author = "Chao, A. W.",
    title = "{Evaluation of Radiative Spin Polarization in an Electron Storage Ring}",
    reportNumber = "SLAC-PUB-2564",
    doi = "10.1016/0029-554X(81)90006-9",
    journal = "Nucl. Instrum. Meth.",
    volume = "180",
    pages = "29",
    year = "1981"
}

@article{Derbenev:1973ia,
    author = "Derbenev, Ya. S. and Kondratenko, A. M.",
    title = "{Polarization kinematics of particles in storage rings}",
    journal = "Sov. Phys. JETP",
    volume = "37",
    pages = "968--973",
    year = "1973"
}

@mastersthesis{Boge:1994we,
    author = "Boge, Michael",
    title = "{Analysis of spin depolarizing effects in electron storage rings}",
    reportNumber = "DESY-94-087",
    type = "Other thesis",
    month = "5",
    year = "1994"
}

@article{tobias_coupling_note,
      author        = "Hoydalsvik, Eirik Jaccheri and Persson, Tobias Hakan
                       Bjorn and Tomas Garcia, Rogelio",
      title         = "{Evaluation of the closest tune approach and its MAD-X
                       implementation}",
      year          = "2021",
      url           = "https://cds.cern.ch/record/2778887",
      doi           = "10.17181/CERN-ACC-NOTE-2021-0022",
}

@article{Mane:1986qy,
    author = "Mane, S. R.",
    title = "{Electron Spin Polarization in High-Energy Storage Rings. 1. Derivation of the Equilibrium Polarization}",
    reportNumber = "CLNS-86-758",
    doi = "10.1103/PhysRevA.36.105",
    journal = "Phys. Rev. A",
    volume = "36",
    pages = "105--119",
    year = "1987"
}


@article{Barber:1999xm,
    author = "Barber, D. P. and Ripken, G.",
    title = "{Radiative polarization, computer algorithms and spin matching in electron storage rings}",
    eprint = "physics/9907034",
    archivePrefix = "arXiv",
    reportNumber = "DESY-99-095",
    month = "7",
    year = "1999"
}

@article{DUAN201581,
title = {A Monte-Carlo simulation of the equilibrium beam polarization in ultra-high energy electron (positron) storage rings},
journal = {Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment},
volume = {793},
pages = {81-91},
year = {2015},
issn = {0168-9002},
doi = {https://doi.org/10.1016/j.nima.2015.04.063},
url = {https://www.sciencedirect.com/science/article/pii/S0168900215005744},
author = {Zhe Duan and Mei Bai and Desmond P. Barber and Qing Qin},
}

@article{forest-fringe-1,
    author = "Forest, {\'E}tienne and Leemann, Simon C. and Schmidt, Frank",
    title = "{Fringe Effects in MAD PART I, Second Order Fringe in MAD-X for the Module PTC}",
    journal = "KEK-PREPRINT-2005-109, https://cds.cern.ch/record/2857004"
}

@article{silke_cap,
      author = "Van Der Schueren, Silke",
      title = "{Impact of fringe fields on beam dynamics}",
      journal = "ABP-CAP Section Meeting, CERN, 4 Jul 2025, https://indico.cern.ch/event/1533185/",
      year = "2025",
      }

@article{silke_fringe,
      author = "Van Der Schueren, Silke",
      title = "{Dipole fringing fields}",
      journal = "Meeting on fringe fields, CERN, 30 Sept 2024, https://indico.cern.ch/event/1462429",
      year = "2025",
      }

@article{laurent_coupling_1,
      author = "Deniau, Laurent",
      title = "{Linear coupling treatment in MAD-X}",
      journal = "Presentation at ABP-HSS meeting, CERN, 25 Oct 2017, https://indico.cern.ch/event/672801/",
      }

@article{laurent_coupling_2,
      author = "Deniau, Laurent",
      title = "{Linear coupling treatment in MAD-X: part 2}",
      journal = "Presentation at ABP-HSS meeting, CERN, 22 Nov 2017, https://indico.cern.ch/event/679893/",
      }

@article{yoshida90,
title = {Construction of higher order symplectic integrators},
journal = {Physics Letters A},
volume = {150},
number = {5},
pages = {262-268},
year = {1990},
issn = {0375-9601},
doi = {https://doi.org/10.1016/0375-9601(90)90092-3},
url = {https://www.sciencedirect.com/science/article/pii/0375960190900923},
author = {Haruo Yoshida}
}

@article{Burkhardt:2013eua,
    author = "Burkhardt, Helmut and De Maria, Riccardo and Giovannozzi, Massimo and Risselada, Thys",
    title = "{Improved TEAPOT Method and Tracking with Thick Quadrupoles for the LHC and its Upgrade}",
    booktitle = "{4th International Particle Accelerator Conference}",
    reportNumber = "IPAC-2013-MOPWO027",
    pages = "MOPWO027",
    year = "2013"
}

@techreport{Talman:533900,
      author        = "Talman, R",
      title         = "{Representation of thick quadrupoles by thin lenses}",
      institution   = "Lawrence Berkeley Nat. Lab.",
      reportNumber  = "SSC-N-33, https://cds.cern.ch/record/533900",
      address       = "Berkeley, CA",
      year          = "1985",
}

@article{PhysRevSTAB.17.074001,
  title = {First simultaneous measurement of sextupolar and octupolar resonance driving terms in a circular accelerator from turn-by-turn beam position monitor data},
  author = {Franchi, A. and Farvacque, L. and Ewald, F. and Le Bec, G. and Scheidt, K. B.},
  journal = {Phys. Rev. ST Accel. Beams},
  volume = {17},
  issue = {7},
  pages = {074001},
  numpages = {31},
  year = {2014},
  month = {Jul},
  publisher = {American Physical Society},
  doi = {10.1103/PhysRevSTAB.17.074001},
  url = {https://link.aps.org/doi/10.1103/PhysRevSTAB.17.074001}
}

@misc{franchi2023analyticformulasrapidevaluation,
      title={Analytic formulas for the rapid evaluation of the orbit response matrix and chromatic functions from lattice parameters in circular accelerators},
      author={Andrea Franchi and Simone Maria Liuzzo and Zeus Marti},
      year={2023},
      eprint={1711.06589},
      archivePrefix={arXiv},
      primaryClass={physics.acc-ph},
      url={https://arxiv.org/abs/1711.06589}
}
