Abstract
Undulators are currently used both in synchroton radiation and free electron laser experiments. A clear understanding of the dynamic features of an electron going through the magnetic field of an undulator has already proven very useful to explain, e.g., the reasons underlying the inhomogeneous broadenings of the radiated spectrum, or to design the magnets in such a way that emittance degradation are minimized. More recently, the effects of betation motion were included, in the theory of undulator brightness. This paper is devoted to the case of the helical undulator, which even at the lowest order in the multi-polar expansion, possesses the interesting feature of behaving like a quadrupole, focusing in both vertical and radial directions and a solenoid. This aspect of the problem has been scarcely, emphasized, and there are at least two reasons to devote a careful analysis to the problem: it is a `natural exercise` to start with, to illustrate more modern theory of beam transport and dynamics; it may give important information on the transverse motion coupling and emittance non-conservation.
Citation Formats
Ciocci, F, Dattoli, G, Giannessi, L, Mari, C, and Torre, A.
Optical properties of helical undulators.
Italy: N. p.,
1992.
Web.
Ciocci, F, Dattoli, G, Giannessi, L, Mari, C, & Torre, A.
Optical properties of helical undulators.
Italy.
Ciocci, F, Dattoli, G, Giannessi, L, Mari, C, and Torre, A.
1992.
"Optical properties of helical undulators."
Italy.
@misc{etde_10128696,
title = {Optical properties of helical undulators}
author = {Ciocci, F, Dattoli, G, Giannessi, L, Mari, C, and Torre, A}
abstractNote = {Undulators are currently used both in synchroton radiation and free electron laser experiments. A clear understanding of the dynamic features of an electron going through the magnetic field of an undulator has already proven very useful to explain, e.g., the reasons underlying the inhomogeneous broadenings of the radiated spectrum, or to design the magnets in such a way that emittance degradation are minimized. More recently, the effects of betation motion were included, in the theory of undulator brightness. This paper is devoted to the case of the helical undulator, which even at the lowest order in the multi-polar expansion, possesses the interesting feature of behaving like a quadrupole, focusing in both vertical and radial directions and a solenoid. This aspect of the problem has been scarcely, emphasized, and there are at least two reasons to devote a careful analysis to the problem: it is a `natural exercise` to start with, to illustrate more modern theory of beam transport and dynamics; it may give important information on the transverse motion coupling and emittance non-conservation.}
place = {Italy}
year = {1992}
month = {Dec}
}
title = {Optical properties of helical undulators}
author = {Ciocci, F, Dattoli, G, Giannessi, L, Mari, C, and Torre, A}
abstractNote = {Undulators are currently used both in synchroton radiation and free electron laser experiments. A clear understanding of the dynamic features of an electron going through the magnetic field of an undulator has already proven very useful to explain, e.g., the reasons underlying the inhomogeneous broadenings of the radiated spectrum, or to design the magnets in such a way that emittance degradation are minimized. More recently, the effects of betation motion were included, in the theory of undulator brightness. This paper is devoted to the case of the helical undulator, which even at the lowest order in the multi-polar expansion, possesses the interesting feature of behaving like a quadrupole, focusing in both vertical and radial directions and a solenoid. This aspect of the problem has been scarcely, emphasized, and there are at least two reasons to devote a careful analysis to the problem: it is a `natural exercise` to start with, to illustrate more modern theory of beam transport and dynamics; it may give important information on the transverse motion coupling and emittance non-conservation.}
place = {Italy}
year = {1992}
month = {Dec}
}