Nuclear Engineering 290H: Interaction of Intense Charged Particle Beams with Electric and Magnetic Fields

University of California at Berkeley
Spring Semester, 2009
(3 units)
MW, 5:00 - 6:30 pm, Evans Hall, Room 61


John J. Barnard
Lawrence Livermore and Berkeley National Laboratories
Steven M. Lund
Lawrence Livermore and Berkeley National Laboratories

Faculty Sponsor:

Prof. John P. Verboncoeur
Nuclear Engineering Department
4167 Etcheverry Hall

Course information:

The following pdf document provides a detailed course description including course objectives, a syllabus, and grading policies, and course background information.


Lecture Notes:

Lecture notes will be periodically posted on this web site before material is covered in class. Black and white paper copies of lecture notes will also be handed out in class. Corrections and additions may also be posted on the web site subsequent to lectures. Material is organized by topic in the rough order intended to be covered in class. Postings will be in pdf format including scans of handwritten notes, and conversions of electronic slides produced in OpenOffice and Microsoft PowerPoint.

Lectures notes given here are superseded by a more recent version of the course taught in the US Particle Accelerator School in June, 2011. If you are interested in the material below, it is likely preferable to download the expanded, improved, and corrected versions at:

2011 US Particle Accelerator School Web Site

• J.J. Barnard Introduction, Envelope Equations, and Current Limits
• S.M. Lund Transverse Particle Equations of Motion
• 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 Numerical Simulations

Problem Sets (80% Course Grade):

Weekly problem sets will be handed out in class and subsequently posted in pdf format on this web site. Solutions will not be posted on the web site but paper copies of solutions will be given in class and solutions will be reviewed. Due dates are listed on the problem sets and they are due at the start of lecture. Students are allowed to discuss weekly problem sets with other students 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
Problem Set 09
Problem Set 10
Problem Set 11
Problem Set 12
Problem Set 13

Final Exam (20% Grade):

A take home final exam is handed out on the last 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. The date and location to turn in the exam is listed on the exam.

Final Exam