January 16-27 2017

University of California, Davis

TA: Randika Gamage / Old Dominion University / bgama002@odu.edu

**Class Information****Class Syllabus and Information**[last updated 03 Jan 2017]**Textbook:**An Introduction to the Physics of Particle Accelerators (2nd Ed), Mario Conte and William W. MacKay- Textbook errata and supplementary notes [Waldo MacKay, last updated Jan 2013]
- Some handy computer tools, [Todd, Last updated Jan 2017]
- Annotated class photo and USPAS Winter 2017 photos

**Class Materials**Date Chapter Slides [pdf] / Who Topic and other notes Reading/Lab Homework M Jan 16 AM 1 [24.3 Mb] / TS Introductions, Relativity, Relativistic E&M, Accelerator Overview M Jan 16 PM 2 [7.8 Mb] / TS Weak Focusing, Stability Conditions (Animations below) Homework 1 T Jan 17 AM 3 [7.6 Mb] / TS Trajectory Mechanics, Hamiltonian Formalism Brief Hamiltonian review T Jan 17 PM 4 [8.7 Mb] / TS Magnets and Field Expansions Homework 2 W Jan 18 AM 5 [9.8 Mb] / TS Strong Focusing Theory I (Waldo, 2013 [2.5 Mb pdf]) W Jan 18 PM 5 cont / TS Strong Focusing Theory II and MAD-X I Computer Lab 15:00-17:00

(madx primer) (madx slides)Homework 3 H Jan 19 AM 6 [10.0 Mb] / TS Lattice Exercises I H Jan 19 PM 6+ cont / TS Lattice Exercises II and MAD-X II Computer Lab 15:00-17:00 CM 6-1, 6-2, 6-7 F Jan 20 PM 6+ [6.0 Mb] / TS Lattice Exercises III F Jan 20 PM -- [16.8 Mb] / TS Beams and Emittances (from Rui Li's NAPAC'16 tutorial),

Chromaticity/Dispersion, Beam CoolingHomework 5: Enjoy break! "Spring Break" Date Chapter Slides [pdf] / Who Topic and other notes Reading/Lab Homework M Jan 23 AM 9 [4.7 Mb] / TS Linacs and RF TM and TE simulations

Resonant Driven OscillatorsM Jan 23 PM 7 [11.9 Mb] / TS Synchrotron Motion (Waldo MacKay 2013 USPAS slides) Homework 6 T Jan 24 AM 8 [5.5 Mb] / BB Synchrotron Radiation (Guest lecturer: Bill Barletta) Extra reading: Jim Clarke (ASTeC) T Jan 24 PM -- [11.0 Mb] / TS Light Source Lattices and Emittance Optimization Computer Lab 15:00-17:00 Homework 7: Bill's problem,

CM 8-3, CM 8-4, LabW Jan 25 AM 10+ [1.9 Mb] / TS

[0.6 Mb] handoutObservables and Sigma Matrix, Resonances and Nonlinear Dynamics W Jan 25 PM 10+ cont / TS Third-Integer Resonance and Extraction Computer Lab 15:00-17:00

Henon map

Standard mapHomework 8: Student talk prep H Jan 26 AM 11 --.- / All Student talks H Jan 26 PM 11 [2.5 Mb] / TS Beam-Beam and Space Charge "Take-home" Exam F Jan 27 AM 13 Fri lectures / CS Instabilities and Spin Dynamics (Guest lecturer: Christoph Steier)

**Animations**Link Description [5.1 Mb] Weak focusing, horizontal, n=0.80 [5.1 Mb] Weak focusing, horizontal, n=0.17 [4.4 Mb] Weak focusing, horizontal, n=0.05 [5.8 Mb] Weak focusing, horizontal, n=-30.17 (Q _{x}near 5)[7.6 Mb] Weak focusing, horizontal, n=-250.17 (Q _{x}near 40)[740 kb] Kicked particle bunch centroid, turn by turn, no decoherence [5.7 Mb] Kicked particle bunch centroid, turn by turn, with decoherence [1.0 Mb] Particle motion through a drift space [1.8 Mb] Particle motion through a matched FODO lattice (short quads) [4.8 Mb] Particle motion through a matched FODO lattice (longer quads and dipoles) [3.4 Mb] Particle motion through a mismatched FODO lattice (short quads) [2.4 Mb] Particle motion through a coupled FODO lattice (long quads)

**Useful external links**- Interesting paper: Theory of the Alternating-Gradient Synchrotron, E.D. Courant and H.S. Snyder, Ann. Phys. 281, pp. 360-408 (1957) [cern.ch]
- Interesting paper: Orbital Stability in a Proton Synchrotron, N.H. Frank and R.Q. Twiss, MIT Technical Report No 58 (Feb 1948) [mit.edu]
- Interesting paper: A Selection of Formulae and Data Useful for the Design of A.G. Synchrotrons, C. Bovet et al, CERN DL-70-4 (Apr 1970) [cern.ch]
- Interesting paper: Calculation of the Parameters of a Quadrupole Triplet from the Transfer Matrices, B. Zotter, CERN ISR-73-43 (Sep 1973) [cern.ch]
- Interesting (long) paper: The Physics of Electron Storage Rings: An Introduction, Matt Sands (Nov 1970) [slac.stanford.edu].
- Interesting paper: The Tangled Tale of Phase Space, David Nolte, Physics Today (Apr 2010) [purdue.edu].
- Interesting papers: CERN Yellow Reports [cern.ch]
- Interesting papers: 1985 CERN Accelerator School (K. Steffen Insertions optics notes) [cern.ch]
- Interesting book: Principles of Charged Particle Acceleration by Stan Humphries (1999) [preterhuman.net]
- Interesting book: The Physics of Collective Beam Instabilities in High Energy Accelerators by Alex Chao (2001) [slac.stanford.edu]
- Interesting book: Special Topics in Accelerator Physics by Alex Chao (2002, last updated 2012) [slac.stanford.edu]
- Interesting paper: Energy Upgrade As Regards Quench Performance, W.W. MacKay and S. Tepikian, BNL C-AD AP Note 422, 30 Jan 2011 (BNL-94637).
- Interesting paper: D. Douglas, R.C. York, and J. Kewisch, "Optical Design of the CEBAF Beam Transport System", Proc. of the 1989 Particle Accelerator Conference, Chicago, IL. [jlab.org]
- Interesting paper: N. Tsoupas, D. Kayran, V. Litvinenko and W.W. MacKay, "Uncoupled Achromatic Tilted S-Bend", Proc. of the 2008 Particle Accelerator Conference, Genoa, Italy. [local copy, 493 kb pdf]
- Interesting paper: T. Zolkin, "On sector magnets or transverse electromagnetic fields in cylindrical coordinates", arxiv 1603.03451, March 14 2016 [arxiv.org]