1. { Mathematical Descriptions of Magnetic Traps Stephanie Brown CERN: AEgIS The Pennsylvania State University University of Michigan

2.  AEgIS: Antimatter and Gravity  Magnetic fields confine antimatter Reminder

3.  Permanent magnets: very complicated field, depends on arrangement of magnets  Off axis fields: very difficult to define analytically Trying to go around the assumptions

5. .038 and.04 Use the simplification

6.  Numerical iterative methods  Lots of reading Next?

7.  Two regions: allows you to treat it as two semi- infinite plasmas  Piece-wise uniform  Rigid motor rotation  No radial dependence Using the assumptions presented in the literature

8.  Begin with the low field region and known values  Density  Density in boltzmann distribution  High and Low magnetic values  Make a guess for the high field region  Use an iterative numerical method to see where the answer converges

9.  Test different geometries  Help find optimum arrangement Hopefully that works