The problem of the transport matrix through a solenoid with a linear fringe field is solved exactly. The mathematical problem is simplified by the introduction of a new set of functions that generalize the ordinary hyperbolic functions. The results are used to characterize the physical properties of a solenoid exploited as magnetic lens. In particular it is shown that the role of a solenoid, with a linear fringe, in the transport of an electron beam is equivalent to the combined effect of a thin lens, a drift section and a beam expander. © Società Italiana di Fisica.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Migliorati, M., & Dattoli, G. (2009). Transport matrix of a solenoid with linear fringe field. Nuovo Cimento della Societa Italiana di Fisica B, 124(4), 385 - 394. https://doi.org/10.1393/ncb/i2009-10780-0