03BTpGeVc GeVcrad 8 FODO cellsDipole length 5 mMaximum dipole ID: 821182
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!! Quadrupole length Lq = 3.0 m!! Ring c
!! Quadrupole length Lq = 3.0 m!! Ring con
sists of 20 FODO cells !! Dipole length
sists of 20 FODO cells !! Dipole length i
s 5 m and maximum Þeld strength is 3 T!!
s 5 m and maximum Þeld strength is 3 T!!)
=0.3B(T)p(GeV/cGeV/crad!8 FODO cells!D
=0.3B(T)p(GeV/cGeV/crad!8 FODO cells!Dip
ole length = 5 m!Maximum dipole Þeld = 3
ole length = 5 m!Maximum dipole Þeld = 3 T
Given:Exercise 1! Step 3- Find the opti
Given:Exercise 1! Step 3- Find the optics
(dipole and quadrupole strengths) provi
(dipole and quadrupole strengths) providi
ng a maximum beta function of 100 m.Cond
ng a maximum beta function of 100 m.Condit
ion:!maxµ/200.20.40.60.811.21.41.6f(µ/2
ion:!maxµ/200.20.40.60.811.21.41.6f(µ/2)
:Condition:!maxCell4fQfQ=1kQlQ! Remembe
:Condition:!maxCell4fQfQ=1kQlQ! Remember
the equation relating the phase advance
the equation relating the phase advance an
d the focal length of a quadrupole magne
d the focal length of a quadrupole magnet
for a FODO cellCell0.35LCell0.65LCell0.8
for a FODO cellCell0.35LCell0.65LCell0.85L
CelllDLCell! Step 3- Find the optics (di
CelllDLCell! Step 3- Find the optics (dipo
le and quadrupole strengths) providing a
le and quadrupole strengths) providing a m
aximum beta function of 300 m.Exercise 1
aximum beta function of 300 m.Exercise 1fQ
=LCell4sinµ2=50m4sin(21.5o)=34:! How m
=LCell4sinµ2=50m4sin(21.5o)=34:! How man
y dipole magnet should you use per cell?
y dipole magnet should you use per cell??!