USPAS 2015: Beam Physics with Intense Space Charge

2017 Updated Version of Course

US Particle Accelerator School
Winter Session, 2015 19-30 January
Sponsored by Old Dominion University
Hampton, Virginia
2 Week Course (3 units)


Prof. Steven M. Lund
Michigan State University
Physics and Astronomy Department
Facility for Rare Isotope Beams (FRIB)
510-459-4045 (mobile)
Dr. John J. Barnard
Lawrence Livermore National Laboratory (LLNL)
Lawrence Berkeley National Laboratory (LBNL)
925-997-7872 (mobile)


Dr. Daniel Winklehner
Massachusetts Institute of Technology (MIT)
510-479-6501 (mobile)

Abbreviated Overview:

Overview (pdf)

Lecture Schedule:

Schedule (pdf)

Course Details:

Syllabus (pdf)
Full Topical Outline (pdf)

Lecture Notes:

Lecture notes will be periodically posted on this web site before material is covered in class. Paper copies of lecture notes will also be handed out in class to aid note taking. Time permitting, corrections and additions will be posted on the web site subsequent to lectures. Materials are organized by topic in the rough order intended to be covered in class. Postings will be in pdf format including electronic slides produced in OpenOffice and Microsoft PowerPoint (pdf in compact vector form with embeded fonts), and scans of handwritten notes (pdf in bitmap form). In some cases notes are posted in both one slide per page (for presentation) and four slides per page handout (for more compact printing) formats. Notes will be maintained on this web site after the course with occasional updates, corrections, and extensions until a next version of the course is given. At that time the web site will be frozen with a link to the newer version.

Recommend using 2017 updated version of course notes

• J.J. Barnard Introduction, Envelope Equations, and Current Limits
• S.M. Lund Transverse Particle Dynamics
• S.M. Lund Transverse Equilibrium Distribution Functions
• S.M. Lund Transverse Particle Resonances with Applications to Circular Accelerators
• J.J. Barnard Injectors and Longitudinal Physics
• J.J. Barnard Continuous Focusing Beam Envelope Modes and Halo
• S.M. Lund Transverse Centroid and Envelope Descriptions of Beam Evolution
• S.M. Lund Transverse Kinetic Stability
• J.J. Barnard Pressure, Scattering, and Electron Effects
• J.J. Barnard Final Focusing and Example Applications of Intense Beams
• S.M. Lund Supplement Lectures: Numerical Simulations
USPAS Course on Self-Consistent Simulations
• J.J. Barnard Barnard Lectures Summary

Problem Sets (80% Course Grade):

Daily problem sets will be handed out in class and subsequently posted below in pdf format on this web site. The problem sets are due at the start of lectures on the next day. Solutions will not be posted on the web site but paper copies of solutions will be given in class and solutions will be reviewed. Students are encouraged to discuss the problem sets with other students, the grader, and the lecturers, but are required to turn in their own solutions.

Problem Set 01
Problem Set 02
Problem Set 03
Problem Set 04
Problem Set 05
Problem Set 06
Problem Set 07
Problem Set 08

Final Exam (20% Grade):

A take home final exam will be handed out on the next to last lecture and subsequently posted below in pdf format on this web site. The final exam is due at the start of the final lecture. Both course lecture notes and the student's own personal notes can be used on the final exam and work must be independent. Students are not allowed to consult others other than clarification questions to the lecturers.

Final Exam

Related USPAS Simulation Course:

USPAS 2016: Self-Consistent Simulation of Beams and Beam/Plasma Systems

Previous Versions of This Course:

USPAS 2011: MSU/FRIB Server
USPAS 2011: LBNL Server