Wigglers, beam emittance and energy spread Page: 3 of 6
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-3-
The n-function in the first two magnets of a wiggler unit are given
by
(3) n1(s) = - 1/2 - s2/PV nl(s) = - s/p
and
(4) T12(s) - - 1/2 (12 + 22s - s2)/p
where 0O is s 1.
For all other wiggler magnets the n-function is similar to eqs. (3)
and (4) for symmetry reasons.
The change in the beam emittance due to the wiggler system is now:
1 + HjI.'/p3 ds
(5) E /E
w o 1 + /P ds
0
where Ho s.f/p da and R4, .. ds
The contributions of the first and second wiggler magnets to the integral
ds are
5 Bk3 3
Lif .XP de - __5 +?
208 p5 3p5 3p
(6)
3 3 5 BR P. B3
A2 J-p ds - 0 5 5
01pw 2p 2p
For the whole wiggler system we have then
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Wiedemann, H. Wigglers, beam emittance and energy spread, report, October 1, 1979; Menlo Park, California. (https://digital.library.unt.edu/ark:/67531/metadc1205843/m1/3/: accessed April 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.