Syllabus
1
Particle Sources and Beam Distributions
2
Guiding Particles and Keeping Them Focused
3
The Betatron – A Case Study
4
The Synchrotron – A Case Study
5
Courant-Snyder Theory of Transverse Motion
6
Longitudinal Dynamics
7
Linear Accelerators (
Linacs
)
8
A Beam Transport/Acceleration System – ReA
9
General Problems in Beam Optics
Appendix
A
- Getting to Know
R
A.1
Doing Simple Calculations
A.2
Making Simple Plots
A.3
Creating Random Distributions
A.4
Decisions and Loops
A.5
Matrix Manipulations
A.6
Reading/Writing Data
A.7
Dataframes
A.8
Connecting to External Programs
A.9
And Much, Much … Much, Much More
B
- Using MAD-X
B.1
Downloading MAD-X
B.1.1
On Linux (all distributions)
B.1.2
On macOS (starting from Leopard)
B.1.3
On Windows (starting from Windows XP)
B.2
Running MAD-X
B.3
MAD-X Example
C
- Some Notes On Ellipses
C.1
Area of an Ellipse
C.2
Equation of Ellipse – Matrix Notation
C.3
Particle Distributions and the Sigma Matrix
C.4
Courant-Snyder Parameters and Emittance
C.5
A Numerical Example
C.6
Propapation of Courant-Snyder Parameters
C.7
Extension to Multiple Dimensions
References
PHYS 659 – Spring 2017
7
Linear Accelerators (
Linacs
)
Discussion Topics…
standing wave vs. traveling wave systems
elliptical cavity structures
low-beta structures
longitudinal motion – the golf club
descriptions of linear motion – Trace-3D approach