| Title |
The Multipole Lens Mathematical Modeling |
| Authors |
- E.M. Vinogradova
Saint-Petersburg State University, Saint-Petersburg, Russia
- A.V. Starikova
Saint Petersburg State University, Saint Petersburg, Russia
|
| Abstract |
In the present work the mathematical model of the multipole system is presented. The multipole system is composed of arbitrary even number of the uniform electrodes. Each of the electrodes is a part of the plane. The potentials of the electrodes are the same modulus and opposite sign for neighboring electrodes. The variable separation method is used to solve the electrostatic problem. The potential distribution is represented as the eigen functions expansions. The boundary conditions and the normal derivative continuity conditions lead to the linear algebraic equations system relative to the series coefficients.
|
| Paper |
download THPSC001.PDF [0.217 MB / 3 pages] |
| Conference |
RuPAC2016, St. Petersburg, Russia |
| Series |
Russian Particle Accelerator Conference (25th) |
| Proceedings |
Link to full RuPAC2016 Proccedings |
| Session |
Poster Session C |
| Date |
24-Nov-16 16:30–18:30 |
| Main Classification |
Magnetic and vacuum systems, power supplies |
| Keywords |
multipole, electron, vacuum, cathode, controls |
| Publisher |
JACoW, Geneva, Switzerland |
| Editors |
Maxim Kuzin (BINP, Novosibirsk, Russia); Volker RW Schaa (GSI, Darmstadt, Germany) |
| ISBN |
978-3-95450-181-6 |
| Published |
February 2017 |
| Copyright |
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