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 Ions. 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.
Transport matrix of a solenoid with linear fringe field / G., Dattoli; Migliorati, Mauro. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B. - ISSN 1826-9877. - 124:4(2009), pp. 385-394. [10.1393/ncb/i2009-10780-0]
Transport matrix of a solenoid with linear fringe field
MIGLIORATI, Mauro
2009
Abstract
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 Ions. 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.