| Paper | Title | Page |
|---|---|---|
| THPAN004 | Runge-Kutta DA Integrator in Mathematica Language | 3226 |
|
||
| The method of Truncated Power Series Algebra is applied in a Mathematica code to compute the transfer map for arbitrary equations of motion (EOM) describing a charged particle optical system. The code is a non-symplectic integrator – a combination between differential algebra module and a numerical solver of EOM. Using the symbolic system offers some advantages, especially in case of non-autonomous EOM (element with fringe-fields). An example is given – a soft-fringe map of a magnetic quadrupole. | ||
| THPAN005 | Short Quadrupole Parametrization | 3229 |
|
||
|
Funding: National Research Council (Canada) The Enge function can be used to parametrize any element with well-defined edges. If an element is too short, however, there is no unambiguous definition of the effective edge. We first demonstrate that very little fringe field detail is needed to obtain accurate maps even up to fifth order. Then we go on to show a simple fitting algorithm that works well for short as well as long quadrupoles. The results are true whether the quads are magnetic or electrostatic. |