HAL Id: in2p3-00022252
http://hal.in2p3.fr/in2p3-00022252
Submitted on 3 Nov 2004HAL is a multi-disciplinary open access
archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.
L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.
Beam optical calculations for SPIRAL2
R. Cee
To cite this version:
...4 ! " # $ ...5 " %%&...5 ' ! ...7 ' ( # ...8 ) ...9 ' " ...9 ' ' ) # ...9 ' ' " * +, + *...11 ' - ...11 '& . ...12 '&' $ ...13 '&' / $ / ...15 '&'& / $ / ...16 '0 ...17 '0' ! ...18 '0' / " ...18 '0'& & / " ...21 $ $ " ...25 & " ...25 0 - ...25 1 " ...26 2 ...28 2' * +, + * ...29 2' + ...30 3 " ...31 4 ...32 5 " ...33 5' ...33 5' ! " $ " " 6 7 ...33 5'& $ ...34 5'0 / $ ...35 5'1 8 9...36 5'2 8 &9...36 5'3 6 %%0: : / 7 "...37
" " " # " - + : $ # : , ; <' = %%0 / $ 8 9 / 6 " " # # / ( ( $ >? @ & " $ " / # 0 ×51 A' ) . # $ %(2% BC . " " D " # " ? ? " 8 ,E9: " 44 !F7: / ( " " "' "" D / ( ( $ >? @ 2: " " " " " : ' ) $ $ 31% BC> # ,E " " 44 !F7 " $ / / ? (/ # " $ " # β @ %'%3 # β @ %' ' , / $ 0% ! C " " 0'1 ! C> " " . # " / / " $ ( ' F : " B # " " " B &4G . $ ' H " # " " " $ " " / $ . : / $ # " # # $ " !6 / . $ ' " ? " " ' " # $ " " ' ! " # ! $ % # # & ! " ' % ( # ) # ) # * !
above-
ground
under-
ground
production
hall
CIME
cyclotron
D+: 40 MeV Ions: 14.5MeV/u
750 keV/u+
#
& ) %
%
" # $ " " " " &4G $ " " # $ $ . @ 3% @ 3%' " $ / " %%I H ' # " 8 " ) 9 . $" . " ' " $ $ ! + %%% 6 " # " - + / ( 3% π⋅ ⋅ "' " / B' " ) ,* #) % ) #' # - . /! " ,% 0 ππππ⋅⋅⋅⋅%%⋅⋅⋅⋅% # % ,* 1 0 %% 2 34 *5 6 (78 6 J3% 0'% ! + %%% 8- + 9 ,6 J&% '2 6 J 1 &'% + K + !: 6 J 1 &'% 6 " " $ 8 9 L B M" # " " " " ' " $ $ @ 1% ; < 8 " . 5' " 9'% #
%
%)
6
" " " # / $ J3% J 3% ' # $ / " # " " D " %%& ; <' / ! : " " &: " " $ " / " # ' $ 8 ( # 9: " " - + 8 ' : !' # 9: / " " . / ? " " " ' 6 6N : $ " / / " " $ ;<' %0I1Electron Cyclotron Resonance
2Forced Electron Beam Ion Arc Discharge
" $" # / " 8 " ) 9' " : $ " " " : " $ B " / ' $ / " $ ' / $ $ %'1 / 8 % 9 $ B: / " $ ' " ) + % , $,9% % ./! +,", 7 4, $ %0I $ 01I . $ (&4I D " $ $ %'05 8 @ 3%9 %'4 8 @ 2%9 # " %'4&2 8 @ 3%9 ' 21 8 @ 2%9 $ %% $ / $ % 8 9 " %'1 8 9 . " 1 %%% - O8%'1 9 "2 : 6 % # , $,9 % 3) ( ; # 8! " ) % % % ) ' # & # <!
!
"
$
+
! 0 6 6N $ / " / " 8 69 ;&<' " # " " $ # " ' # $ " . . # $ ' # $ " / / " " ' # 8 9 / "$ 6 6N $ 7 " $ " # $/ . / "$ ' / $" " $ " / # " ? " " '4Broad Range Atomic Mass Analyser
6 $ + ' , $,9 % # '
# % & ) !
vertical
horizontal
!
"
)=
&
( # $ " " " ' 6 $ " $ $ ' $ / " / $ " # " " $ "' " 6 6N $ / ' / $ # $ " . $ / $ 7 $ " # $ . '> $= & ! " ) % & # ' % # &
! " . # "# $ / / B ' 6 6N $ # " $ " $ " ' $ " / B $ " $ $ "' ! .: # $ ' 6. : B # $ # ": " # ' ( # # $ " # " "' / / " "" . $ : " " >: ? " / # 7 ' / " / B $ # " " # # " / B' 1 m
ELBEK
magnet
analyser
magnets
septum
magnets
analyser
slits
"
?
" # . " / # $ G . E @ # B $ 6B @ P⋅ #A@ E⋅G . " ? " # #' " # # " ) # ' ) " # " . " " ' '$' " / $ 6 ' # / ) # # $ " / B " " " / $ " " $ " ) " " " $ * +, + *'!
#
$ " " ) " ;0<' ! " " ;1<' F $# '! !
"
?
&
) / " $ " " / " $ " ' # ,. . " / $ ? " $ " # #7 / # $ 7 " 6. " / # $ " $#(
x z y)
. x q E v B F = − ⋅ " " # # ( " $ ( $ " y x z B E v = "' # . " $ " 7 " " $ # " : # Q #7: # " : # R #7' $ # " : / " " # " / " ' ) # ) $ ' # B $ # ' ' , ) # " $ # " " ' " " $ " $ " $ " / $ " " $ # " $ ( $ " $ $ ' ' ) $ ": $ : ' ' / B $ $ " ' $ " ? " " / ' " $ " " / @ $ # ' # $ " . ? " '&' B # $ " ) : ' ' / " " $ $ "' " $ " " $ " " " " $ $ " " $ ' $ : ' $ " " $ " ' $ " " $ . ' $ " $ " $ A / $ " $ 6 ) . "'
-2V
s-2V
sV
s+V
dV
s-V
dV
s+V
dV
s+V
dV
s-V
dV
s-V
d @ , # % # # ) # %) ## # B # #. /! -0.5 0.0 0.5 1.0 longitudinal position / m 0.0 0.2 0.4 0.6 0.8 1.0 fie ld / re la tiv e units E-FieldB-Field
A , # % # * , ? *
% # #% # #' , % # .@/! " % % ) ' #
! !
"
) %
# :2 C
"C
" ) # " / $ * +, + *;3<' " " ' 8 $ : L " M9 ": / $ " " " " $ " $ : : : " $ ' * D " $ $ # 8 / $ 9' # $ $ " / .' $ " $ " # ' # >> ' ' ' " > $ ' $ " > " $ $ " ' ! 7 " $ >> ' ' ' " > 7>' $ " " " $ " ;4<' "" . " " / B / " $ " / " velocity; : flight; of time : / ) ( ) 1 /( ) ( 0 0 7 0 0 5 3 1 v t m m m r v t t l r y r x r m = − = + − − = = = = δ γ γ mass; : ; over energy total : 2 0 m c m γ energy; kinetic : momentum; : / ) ( / ) ( / / 0 0 8 0 0 6 0 4 0 2 K p z z z r K K K r p p b r p p a r z K y x − = = − = = = = = = δ δ charge; : z ,B # :2 C "C! / # $" ' . " ' " " " $ 8 9: ? " 86E9: ) 8),9: 86 9 " $ " 8 9'!
) " " / / " " " " $ / " " ' $ ( $ " " # / "(
4)
2 . 2 1 2 1 m m m m mm + = " " D' / " ) ? " "' / $ " " # / / / ' / " # " $ $ ) 8 # " $ 9 / " / / " " $ ' 6 "" $ /$ " : / " / : / $ . " " : / " ' D ? !
!6
"
*
) %
$ $ " ) @ 5% " @ 0% " E' # $ ? " # BC . # $ &0 BC' 6( " 1%'% $) # 0&'4 BC> " $ # $ 0'0 BC " " % ' $ . @ %' 4 ' " $ " ) I " $ 1' / @ 5% " @ 0% " 1%'% " ' E " & 3 F G & 8 % ) # ? !EQ
EQ EQ
WF
EQ
EQ EQ
WF
2.35 m
2.35 m
ES: electrostatic deflector DI: magnetic dipole
EQT: electrostatic quadrupole triplet : double focus Wien Filtre ES ES Ion Source low energy experiment slit slit EQT confinement area DI DI DI DI DI DI mass identification charge breeder extraction beam line
transfer beam lines
) / ? " / B ' @ 5% " @ 0% 1 " . " @ 1% $ ' $# # " " / ) $ " " "' $ $ 8 " B 9 " $ " " # " $ ' # " " " / " @ 0% " $ @ 0% " @ &2 4 / $ " %'1 " # $ BC' B " / ) / " " $" $ " " ' F / # : " B" / ) " B $ " / " " ' F / # : " $ # E ) " " : ' ' / " " " # " $ . ' / ' F " " 8 ), @ &50 : 6), @ %'330 BC> 9 " / @ %% 8 9 / @ %0 8 " 9 " " " . %'% ' . $ # " # 6 7 " / $ ? " '
!6!
"
" $ $ " " ( " $ $ " # " G!,: C # : " " $ " $ $ " ' " " 8 $ $ 9 B " L $M # $ " $ ' %% ? ! 2 % 3 #G 5 8 # & #' 3) G 5 8 % * !6 $ # $ %2& ' # / %& B
" " " 1% ' $ '
" ? "
" ) ' " $ $ / "
# $'
Plug 1 Plug 2 Plug 3
EL EL EL EQ EQ EQ EL EL Wien Filtre IS ! G, , F G ,H B # ! "" " # / B $$ # 6 7 86 9' $ " $ $ " . $/ ' $ " $ : '$' F . $ : / . " " " / " # $ : / ) ' . " # $" " " $ ? " ' " / $ ) " $ # " $ $ " " ) " $ " ' / " " : " " # " $/ " $ " ? ' " " $ " # $ $ $ ' " " # $ !' # ; <' -8 -6 -4 -2 0 2 4 6 8 longitudinal position / cm 0 10 20 30 40 el ec tri c fie ld / kV according to formular applied to simulation Field Distribution # ## ) , F 3% G #*E! 8 *% #) 3) (8 (7 & G % # #
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
!6!
"
'
'
%
D $ " $ # " $ " $ " " 8 09' " ? " " $ ? " / $ ) " $' # : " / + 8 >9: / . # / / " 7 / / " $ . / " " 'Plug 1 Plug 2 EL 1A EL1B EL2A EQ2 EL2B Wien Filtre IS "' ' % ! " # ) #) # B # B # # ? # ! 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 1 A 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 1 B 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 2 A 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E Q 2 -0 . 1 5 5 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 2 B 0 . 0 0 0 0 . 0 00 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 5 . 0 0 0 5 . 0 0 0 _ F 5 . 0 0 0 W I 5 . 00 0 I L 5 . 0 0 0 E T 5 . 0 0 0 N R 5 . 0 0 0 _ E 5 . 0 0 0 5 . 0 0 0 5. 0 0 0 W A L L W A L L W A L L W A L L W A L L W A L L S L I T 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 1 A 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 1 B 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 1 A 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 1 B 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 2 A 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E Q 2 -0 . 1 5 5 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 2 B 0 . 0 0 0 0 . 0 00 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 5 . 0 0 0 5 . 0 0 0 _ F 5 . 0 0 0 W I 5 . 00 0 I L 5 . 0 0 0 0 0 0 0 . 0 0 0 E L 2 A 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E Q 2 -0 . 1 5 5 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E L 2 B 0 . 0 0 0 0 . 0 00 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 5 . 0 0 0 5 . 0 0 0 _ F 5 . 0 0 0 W I 5 . 00 0 I L 5 . 0 0 0 E T 5 . 0 0 0 N R 5 . 0 0 0 _ E 5 . 0 0 0 5 . 0 0 0 5. 0 0 0 W A L L W A L L W A L L W A L L W A L L W A L L S L I T > " 2 " % ' ' % ) % 5 ! % #4 * 5 ! (7! " ' # # ) ' !
!6!6
"
'
'
%
" # " " 7 " # / " ) ' " $ ? ' " $ $ ? " $ # " ' " " $ : / @: / / 6 7 $: $ " "' # 6 7 $ " ' = ? " $ $ " " ' " $ 6( " . " $ $ 'Plug 1 Plug 2 EL 1A EL2A EL2B Wien Filtre IS @ "' ' % ! 2 , F ) % * # G ' ) % # ) # ? # ! " A # " $ ' , $ " ' , # ? . $ " / $ $ $ . @ 3% @ 3%' " " ' ' # " ? " " ) ' # $ " B " " $ ) ' 0 . 0 0 0 0 . 0 0 0 E 0 0 . 0 0 0 0 . 0 0 0 L 1 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E 0 0 . 0 0 0 0 . 0 0 0 L 2 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 E 0 0 . 0 0 0 0 . 0 0 0 L 3 0 . 0 0 0 0 . 0 0 0 0 . 0 0 0 5 . 0 0 0 5 . 0 0 0 _ F 5 . 0 0 0 W I 5 . 0 0 0 I L 5 . 0 0 0 E T 5 . 0 0 0 N R 5 . 0 0 0 _ E 5 . 0 0 0 5 . 0 0 0 5 . 0 0 0 W A L L W A L L S L I T
A 1 F 3) '8 #& 3) & 8 ) % & *
) % ' 5 3) ( & 8G 5 3 # & 8 # 5 @ 3) & 8
* & 4 *5 @ (7 # ) % 5 ! % ! " ? ? 5 > ! %%!
!
"
) %
" $ ) " $ B . " H " " / " # " " " ? ' 8 9 $ $ $ / " " $ " ' 8 9 " " " " / $ . ' 6. "# # " / @ 1% / # " ) ' # " / " / $'
! !
2
+
%
) ' , " 7 " ) : " " $ " : " " 4I " " " 4%I" $ ' " " " " $ " " " $ 5%I $ ' " $ : " / * +, + *: / D' $ / / @ &5 " @ 0% " $ '% " "' # $ # # 1% " ) " &%% " " $ / " ? ' " " " $ $ @ 2%%' D 1 F % = # ! " $ " ' " ) $ " " $ " $ " $ ? " ' " $ $ " $ / " " "' $ " # " " # $ " # '! !
2
$ %
$'
#
%
. / ? " / " " $ ( ) " $ " " / / " # ' / " 8 9 " / ; < " / " " ' F 8 9 " "'" $ " ; %< # " " / $ " E' $ " ) " $ &1I # " " " ' ) $ $ ? " / # ) " $ 7 " # $ "' " " / $ " $ $ ' ? " " ( ( $ # 8 0& @ %9' # " $ ( 7 " / ' $ " " / " 2%I $ / " . / "$ $ 1'40I8, $ 3 3'1 9' " $ ; < $ ( ( $ # " $ " ' ? " : / : 5%I " / " / $ . ' 8 @ %%9: " / * +, + *: + : " " ) 6: B ' ES MQ MQ MQ DI DI MQ MQ MQ ES E = F ) % ) % $! " ) 6 % :2 C "C % ! +,", 7 4, . . '5 .S. 5' " . 1'1 S. 2'1 " %'%&1 &0 (%'115 12 '%%%
" ) ) % % ! , " , 2 , ", 6 % " " $ " 0%%'% $ &1'%I %'% !E% T!E%2 0%'% % T % " $ " %'1 $ 2%'%I 6 / "$ $ 1'40I 6. / "$ $ 1'40I 6 % " " $ " 0%%'% $ 5%'%I %'% Beamline B Beamline A 2.000mm 80 mm 1.500mm 300mm 50 0m m 2.300m m % & ) % $! " B # # # ' ) % ) ) % ! ES MQ MQ MQ DI DI MQ MQ MQ ES 9.4 0.80E-01 0.80E-01 ES MQ MQ MQ DI DI MQ MQ MQ ES 9.4 0.80E-01 0.80E-01 1 F ) % ) % $! ' # & ;
! !6
2
6 $ %
$'
#
%
& " # # ' " $ " " # " " 8 2: 2: " ) >9 " " ) / B $ # / $ $ ' " ) > + % % # # ) # ? ! 2 > 2> " %%↔ %1 (%'&&% (%'052 %%↔ % (%' 3 (%' 4 %%↔ 1% (%'%00 (%'%3& : " : / $ . 2 " $ " $ & " 3 $ ? " " $ $ 0 ? " $" " : $ $: $ " ' " $ " " / $ ' ) % $! # G % G # ) % % ! Magnetic Stage Electric Stage Beam Matcher Electrostatic Deflector! !6!
,
#
" / # 8&%'% " / 9 D 2 ' ) " # $ . I $ $ ? " / " $ " $ $ / / ' 7 " / " " " " " ' F # $ " $ " %'0 " &%I' " $ # / " / '! !6!
+
" " " $ $' / $ ? " " " / " $ $ ' / " / " $" 8? @ H9 # $ . " . # $ " " " ρ @ >? $ ' $ " $ B " $ # $ $ 8 " 9 ( ( $ " $ $ / ( ( $ " %%'% " " ? " " " / # " "' " / / $" $ " " / 2%I " / " $ " ρ @ %'1 ' " $ " " $' # : " . / "$ $ 1'40I # ; <' $ " " ; < 455 . 1 /ρ = foc L / @ 3 3'1 ' $" " " / B # $ $ # $ '! !6!6
,
$ "" 6ρ @ #>? $ / " " $# " ' / ? " " " " " " / " ' $ ? " " $ " . " " ' "" $ " B ' " $ ? ' G B $ " " " " &%I " 2%I" / " $ " ρ @ %'0 ' $ / . " " D / $ ' / " '$' " D " '! !6!
$ % %
$ ' $ ? " ' $ " / ( ( $' $ " " " 8 # 9 $ # " / $ " ' , ": $ " " . " " " $ '! !6!>
$ %
%%
" / " * +, + * " / $ $ ' 6 " 7 " # B " ' "" # 8 "9 "' > " 8 9 / ' " $ " " " # / $ " " 7 " # # " "' , : $ %% " 1% " / $ " $ " 8 " $ 9' , / / / " $ / " ' ! %%↔ 1% ! %%↔ % ! %%↔ %1 6 1 F ) % ) % $! $ ( ( ! ! # ) % & 3 & & 8!! %%↔ 1% ! %%↔ % ! %%↔ %1 7 ) % ) % $! $ ( ( ! ! # ) % & ! ! %%↔ 1% ! %%↔ % ! %%↔ %1 > 3 J ' ∆∆∆∆ 0 5 8 ) % $! ? # ) % # ' # # % ? ) % #!
%
)
#
6
#
$ $ ? " " " # " $# $ # " " " " $ " ' F / # : $ " " " " / $ " $ ' ) " " # " $ / " " # " $ / # ' , " " $ " D $ $ " $ "' : . " " $ " : " ? " " " / 4%I" $ $ B( B ' # 7 " # ( ( $ " " $ ' " " $ / # ' (7 $ " " " $ " " " $ # " " ' # " / " " * +, + * " # " " / # " + ' $ " " / ' " $ " " " $ / ( ' ": " " 6 : " $ " $: . " / " B/ " " ' ? " " $ " . " (3U " . %U $ ; &<' , / $ " 6' ' 7 ; 0< D $ " " / " # " " / " " " $ " $ ' ( : $ / / $ " " " # " "' " " # "' 6 %%0 " $/ D "" " " . %' ; 0< / " $ " . $ " $ " " $ $ / 4%I" $ / " " . V @%V' 6" $' , ? " 86E% : 6E% : 6E%&: 6E%09: $" " : " /
" " ' $ " B $ . $ ' @ ( # ! H ) ;H ; ,H B # ! # " $ $ $ 140Xeq 54 $ $ ? @ H ? @ 0%H / " $ " $ ?% @ %H ?%@ %'1 " $ / $ 8? @ &5H: 0%H9 W .@ '% / " / $ %'% " " &'% 8 / $ " "9' " / / " " " " ? " . 0'%J ' ) : / $ ? " %× % A' F / # : " " " " $ " $ ' $ " $ / 8?@ H9 " $ . # $ G . @ % BC / " ( ( $ / $ " . " D τ ≅ &% X / " ( ( ( 6 $ $ # " ; 1< " # / ( 14054Xe: > @ &'2 '
>
"
:
#
$ / $ . " " $ ?% " $ ? $ " " " / " " A' H iin D " $ " / " " $ " / " $ β' " " ?% . " / . ε$ iq0 =β⋅ε⋅iin 0 ' $ ? ≠ ?% D " / $ ρ' $
(
)
in q i i1 = 1−β ⋅ρ⋅ "" " H . : ' ' iin " q in i i + '1 # / " # " $.
)
(
)
1
(
)
(
1 1 1 0 q n in q n q n in q ni
i
i
i
i
i
+
⋅
⋅
−
=
+
⋅
⋅
=
+ + +ρ
β
ε
β
$ $ " " . 0 in q n n i i = η →∞ ? " " inq+1=inq " inq0 =iout' ) ? ")
1
(
1
ρ
β
ε
β
η
−
⋅
−
⋅
=
∞ ' # η " " " ? " η∞ " D " # " $ " . " ' 8 9 " # ε @ " ρ @ : 8 9 # ε @ %'4 "ρ @ %'4' " $ ? " %% / " / " " $ " $ " % ' $ / $ ρ@ %'4 " # %'4 R ρ R '%' F$ # " " $ $ / . # " "' A ' % ' ) # G * # !i
ini
outi
in+
i
nqi
n q0i
nqRecycling system
Breeder
β
Extractor
ε
Recirculator
ρ
q
q
0(a) (b) D , & %) 3 8 # 3 8 38 # & # * εεεε 5 #ρρρρ 5 # 3)8 & εεεε 5 !D #ρρρρ 5 !D!
@
$ % 2
:
# $" / " " " ( ( : ( ( $: $ / ( (/ $: # . D ' 6. # ( ( $ " " $' $ ? " / $ " " " ' " # . : &0: " 0& " " # # Σ " Σ0& " " $ $ " ' / " : " " : / " / # "' . # / / $ " " " $ # : 7 ' F 7 / / " $ " " / $ B $ " " # D " . ' B " ) @' / " / # $" 6ρ @ ⋅G ." ρ@ >E " $ $" ' # " 6 $ " ; 1<' " ) @ % ) % ! +,", 7 4, @ 0% 8 '$'14054Xe9 $ E@ H %: H : H0% B $ 6B @ 0%%'%: %'%: 4%%'% BC $" 6ρ@ 0%'% BC $ $" ρ @ %'%10: %' 0 : %'%&4 " @ 0'% $ $ α@± % " ε @ 0%'%π ⋅ "
@!
:2 C
"C %
* +, + *;3< 8 / $ " Y *Y9 " " ' " " $ " " " " " " $ " $ : " ' / " $ : $ "' " # " &" " ' ? " $ " " $ ' E8 9 7 $ ? @ 2H 8 "9: ? @ %H 8 B9 " ? @ 0H 8 9 / ( ( ' " " $ : $ D " $ " B/ " / B $' # 8 " 9 $ E%@ % " E8 9' , $ E≠ E%: " " E 8 9: # D $ B " # $ " "$ 8/ "$ $ ϕ@ %I9 " # / B $ ? " " / $ EQE% # ER E%' $ / / " " # / " 2'% ' # ? " @ % '8 9 8 9 E 2 #' :2 C 6# # ! 38 1 F = H 5 @ 3 #8GH 5 3) (8 #H 5 3) 8! 3)8 7 H 5 3) (G 8!
@!
"
2 " %
$ " # $ # # %% X ; 1<' $ $ $ 0 F 2 ' $ # $" " " $" ' " " $ / " " " $ $" ' / $$ " + ; 2< "' # Y- + Y ;5< " " $ " $ " " " " # ' " # : ' ' / ? " " : " $ " B $ : " $ ' ( ( " ( ( $ / $ / ( (/ $' " # " / * # " + ' " 6 '/ $ : ' 6 8 9: " " " / . " " # ' G $ $ " " ' @ '% / 6 8 9' " " $ " . " $ $ $ " " $ " $ " $ . /' # " $ " $ " " " " "D $ ? " # $ '
A
: %
#:
$ " $ / 4%I " $ " $ ? " # $ " / 8 9 8 9 6 $ % & %% % #' " 2 " # # ' 38 # # ) % 5 ! % 3)8!" * " + ' " " ) A' $ $ # " / * " + 8 @ % 9' # $ $ / @ '% / " $ + ' $ " / B " " # ' " ) A : % B # & ) #' :2 C3 8 #" 2 "3' #' 8! H4 4 2 , ,H ,H ,H6 ,H * &" " BC H %'5 ( '& (4'0 H4'0 + " " U (%'& (3'2 H '0 H%' + " $ U H0'& H0'& H1'1 H1' * &" " BC ( %' H '1 (4'0 H&'2 + " " U H%'0 H '1 H%'3 H '% + " $ U H%'1 H&'3 H0'1 H0'2
D
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
E
#*
E!
%
"' " " ' ! # $ / x m M D : / " " " !. 7 $ ' ' ! slit x m m M x D R ∆ = : / W. " / " ' &' ,)F! " m slit x m m D x M R ∆ = = 1 δ . W. @ $# x m M D @ > @ 1%% ] @ 500 1E!
+ #
#
#
)
, F
9 ! " ,' " '; &< . 8 / 9 # B , 64 . 2 tanh 2 2 ) ( = 1+ 2 + 1− 2 D s V V V V s Va / C " C / : " 8 " 9 " " $ " . / $ $ '' ! " [' = '; 4<
(
)
(
)
(
)
(
)
(
(
(
(
)
)
)
)
length gap : inner tube of length : 315 . 1 constant; : radius tube : ground) on es (outer tub inner tube of potential : / 2 / cosh / 2 / cosh ln / 2 / cosh / 2 / cosh ln / 2 ) ( 0 0 c L d V d c L s d L s d c L s d L s d c V s V = − − − + + + + − = ω ω ω ω ω ω ωE!6
17.5 drift space 17.5 drift space Plug 1 drift space Einzel lens drift space Einzel lens Element Result 178.0 160.0 35.0 160.0 Length in mm 125.0 100.0 Voltage in kV 40.0 40.0 Radius in mm 17.5 drift space 17.5 drift space Plug 1 drift space Einzel lens drift space Einzel lens Element Result 178.0 160.0 35.0 160.0 Length in mm 125.0 100.0 Voltage in kV 40.0 40.0 Radius in mm Result 71.5 40.0 160.0 Einzel lens 80.0 drift space 178.0 drift space 0.420 50.0 150.0 el.stat. quadrupole 19.0 drift space 50.0 drift space -0.725 50.0 150.0 el.stat. quadrupole 50.0 drift space 178.0 drift space el.stat. quadrupole drift space Einzel lens drift space Plug 2 Element 150.0 19.0 160.0 80.0 Length in mm 0.394 80.0 Voltage in kV 50.0 40.0 Radius in mm Result 71.5 40.0 160.0 Einzel lens 80.0 drift space 178.0 drift space 0.420 50.0 150.0 el.stat. quadrupole 19.0 drift space 50.0 drift space -0.725 50.0 150.0 el.stat. quadrupole 50.0 drift space 178.0 drift space el.stat. quadrupole drift space Einzel lens drift space Plug 2 Element 150.0 19.0 160.0 80.0 Length in mm 0.394 80.0 Voltage in kV 50.0 40.0 Radius in mmResult 103.0 drift space 248.0 drift space 178.0 drift space Wien filtre drift space Einzel lens drfit space Plug 3 Element 500.0 80.0 160.0 80.0 Length in mm 0.5 Tesla 95.0 Voltage in kV 40.0 40.0 Radius in mm Result 103.0 drift space 248.0 drift space 178.0 drift space Wien filtre drift space Einzel lens drfit space Plug 3 Element 500.0 80.0 160.0 80.0 Length in mm 0.5 Tesla 95.0 Voltage in kV 40.0 40.0 Radius in mm
E!
'
Pug 1 Setup 40.0 drift space 40.0 drift space drift space einzel lens drift space einzel lens Element 178.0 160.0 30.0 120.0 Length in mm 40.0 20.0 Radius in mm Pug 1 Setup 40.0 drift space 40.0 drift space drift space einzel lens drift space einzel lens Element 178.0 160.0 30.0 120.0 Length in mm 40.0 20.0 Radius in mm 39.0 drift space 178.0 drift space 40.0 500.0 Wien filtre 30.0 drift space 40.0 100.0 el.stat. quadrupole 178.0 drift space Pug 2 Setup 30.0 drift space 19.0 drift space drift space einzel lens drift space einzel lens Element 225.0 160.0 30.0 160.0 Length in mm 40.0 40.0 Radius in mm 39.0 drift space 178.0 drift space 40.0 500.0 Wien filtre 30.0 drift space 40.0 100.0 el.stat. quadrupole 178.0 drift space Pug 2 Setup 30.0 drift space 19.0 drift space drift space einzel lens drift space einzel lens Element 225.0 160.0 30.0 160.0 Length in mm 40.0 40.0 Radius in mmE!>
) %
%
) %
$3
8
Beamline Element Identifier Start Position Length End Position
mm mm mm
Electrostatic Deflector ES01 0 244,4 244,4
Drift DL01 244,4 400 644,4 Magnetic Quadrupole MQ01 644,4 300 944,4 Drift DL02 944,4 300 1244,4 Magnetic Quadrupole MQ02 1244,4 300 1544,4 Drift DL03 1544,4 300 1844,4 Magnetic Quadrupole MQ03 1844,4 300 2144,4 Drift DL04 2144,4 400 2544,4 Drift DL05 2544,4 727,5 3271,9 Magnetic Dipole DI01 3271,9 523,6 3795,5 Drift DL06 3795,5 250 4045,5 Magnetic Dipole DI02 4045,5 523,6 4569,1 Drift DL07 4569,1 727,5 5296,6 Drift DL08 5296,6 500 5796,6 Magnetic Quadrupole MQ04 5796,6 300 6096,6 Drift DL09 6096,6 300 6396,6 Magnetic Quadrupole MQ05 6396,6 300 6696,6 Drift DL10 6696,6 300 6996,6 Magnetic Quadrupole MQ06 6996,6 300 7296,6 Electrostatic Deflector ES02 7296,6 628,3 7924,9 Drift DL11 7924,9 371,6 8296,5
E!@
) %
%
) %
$3
68
Beamline Element Identifier Angle Radius Length Start Position End Position
° mm mm mm mm
Electrostatic Deflector ES01 30,00 400,00 209,44 0,00 209,44
Drift DL01 400,00 209,44 609,44 Magnetic Quadrupole MQ01 300,00 609,44 909,44 Drift DL02 300,00 909,44 1209,44 Magnetic Quadrupole MQ02 300,00 1209,44 1509,44 Drift DL03 600,00 1509,44 2109,44 Magnetic Quadrupole MQ03 300,00 2109,44 2409,44 Drift DL04 300,00 2409,44 2709,44 Magnetic Quadrupole MQ04 300,00 2709,44 3009,44 Drift DL04 925,00 3009,44 3934,44
Magnetic Dipole DI01 60,00 500,00 523,60 3934,44 4458,04
Drift DL06 500,00 4458,04 4958,04
Magnetic Dipole DI02 60,00 500,00 523,60 4958,04 5481,64
Drift DL07 1125,00 5481,64 6606,64
Electric Quadrupole EQ01 100,00 6606,64 6706,64
Drift DL08 100,00 6706,64 6806,64
Electric Quadrupole EQ02 100,00 6806,64 6906,64
Drift DL09 200,00 6906,64 7106,64
Electric Quadrupole EQ03 100,00 7106,64 7206,64
Drift DL10 100,00 7206,64 7306,64
Electric Quadrupole EQ04 100,00 7306,64 7406,64
Drift DL11 400,00 7406,64 7806,64
Electrostatic Deflector ES02 30,00 400,00 209,44 7806,64 8016,08
Drift DL12 200,00 8016,08 8216,08
Electrostatic Deflector ES03 60,00 400,00 418,88 8216,08 8634,96
Drift DL13 400,00 8634,96 9034,96 Magnetic Quadrupole MQ05 300,00 9034,96 9334,96 Drift DL14 300,00 9334,96 9634,96 Magnetic Quadrupole MQ06 300,00 9634,96 9934,96 Drift DL15 300,00 9934,96 10234,96 Magnetic Quadrupole MQ07 300,00 10234,96 10534,96 Drift DL16 400,00 10534,96 10934,96
E!A
, :
G
G ' F
#
R. Cee*, W. Mittig, A.C.C. Villari
! " " #$% &'#% ( ) * " + , , , , , , , , , , - . / 0 1
Abstract
2 3 3 4 3 5 4 4 3 3 5 3 1 6 7 4 5 3 3 5 5 7 5 3 1 8 4 3 3 5 7 3 3 4 7 5 3 5 4 3 51 + 3 3 9 3 1 : 5 * 3 3 3 5 2 3 3 3 5 7 &;#< = . = 1 4 > 5 4 5 . . 1 : 3 7 3 4 1 : .> 5 3 3 5 3 4 5 5 1 : 3 4 3 7 3 5 3 5 ? @ + : @ 3 4 7 3 4 : ? ! : 1iin iout i i in n q + in q0 in q R ec yc li ng S ys te m B re ed er β E xt ra ct or ε R ec ir cu la to r ρ q q0 E ff ic ie nc y: β/ 3 q0 q 0 / A B ε/ * q 0 q / ρ/ q iin / 9 5 n / 3 4 iout / * 2 3 5
/
4
/
+
1/
:
!
6
)
C
)
?
3
4
!
?
3
DE
F1
pa
rt
ia
l e
xt
ra
ct
io
n
ex
tr
ac
tio
n
pl
as
m
a
in
je
ct
io
n
:
3
1/
)
5
5
3
D$
F1
)
(
)
1(
1 q n in q ni
i
i
+
⋅
⋅
−
=
+ρ
β
)
(
1 1 0 q n in q ni
i
i
+ ++
⋅
⋅
=
ε
β
) 1( 1 fo r , 0 0 1 β ρ ε β η η − ⋅ − ⋅ = = = ∧ = ∞ → = ∞ + in ou t ou t q n q n q n in q n n i i i i i i i i i/
ε
G
&
ρ
G
&
& $ #? & & " & # H ; ;? ; " 3 ( H ( 'I $ E $ # & H & ; & % & ' & E & & & # ( ' ! " # $ % & $ #? & & " & # H ; ;? ; " 3 ( H ( 'I $ E $ # & H & ; & % & ' & E & & & # ( ' ! " # $ % & ( % & $ #? & E # & & " & % " & # H ' % # ; ;? H # ; " 3 ' ( # ( H ' $ ( 'I ( ( # $ E & # # # $ # $ & ' & ( % & $ #? & E # & & " & % " & # H ' % # ; ;? H # ; " 3 ' ( # ( H ' $ ( 'I ( ( # $ E & # # # $ # $ & '/
ε
G
#
1;
ρ
G
#
1;
!
/
+
1/
=
1
?
>
/&
#
J
&
#
K1
L
/
3
5
M
L
#/
M
)
L
/
2
5 10 15 20 25 30 35 40 q 0. 0 0. 5 1. 0 1. 5 2. 0 r / m B en di ng R ad iu s in D ip ol e ve rs us C ha rg e st at e re fe re nc e ch ar ge s ta te q0 D i q D i qR
q
q
R
0 0=
0 5 10 15 20 25 30 35 40 q 0. 00 0. 25 0. 50 0. 75 1. 00 1. 25 1. 50 (x q+1 - x q ) / m Tr aj ec to ry S pa ci ng b eh in d D ip ol e ve rs us C ha rg e S ta te re fe re nc e ch ar ge s ta te : q 0 = 2 0+ re fe re nc e be nd in g ra di us : r0 = 0 .5 m 30 31 32 33 34 35 36 37 38 39 40 q 0. 00 0. 25 0. 50 0. 75 1. 00 1. 25 1. 50 (x q+1 - x q ) / cm 5 10 15 20 25 30 35 40 q 0 20 40 60 80 10 0 12 0 14 0 ∆ t / µ s Ti m e of F lig ht v er su s C ha rg e st at e ex tr ac tio n vo lta ge : U ex t = 2 0. 0 kV io n m as s: A = 1 40 (e .g . 14 0X e) di st an ce b et w ee n di po le s: ∆ z = 3. 91 m/
di
po
le
di
po
le
io n so ur ce E Q 0 4 E Q 0 3 E Q 0 2 E Q 0 1 E Q 0 1 E Q 0 2 E Q 0 3 E Q 0 4 Q > Q 0 Q > Q 0 Q = Q0 Q < Q 0 Q = Q 0 Q < Q 0 α G ± & # 1# ε G ' # 1# π · G & 1# A 5 : ? ! : B G ' 1# ρ G # 1# " ' # 1$ ' & # 1# E ; : 5)
ρ G ' # 1# =N 5)
= G ' # # 1# $ # 1# ; # # 1# = N = 5L
G O $ # O & O ' # G & ' # A 1 1 & ' #C B 3!
( ) * α G ± & # 1# ε G ' # 1# π · G & 1# A 5 : ? ! : B G ' 1# ρ G # 1# " ' # 1$ ' & # 1# E ; : 5)
ρ G ' # 1# =N 5)
= G ' # # 1# $ # 1# ; # # 1# = N = 5L
G O $ # O & O ' # G & ' # A 1 1 & ' #C B 3!
( ) *?
@
+
:
@
?
D'
F
5
M
E
&
$
N
!
2
G
&
O
2
G
$
#
O
2
G
'
#
O
2
G
$
#
O
2
G
'
#
O
6
>
!
2
G
&
O
N
!
2
G
&
O
2
G
$
#
O
2
G
'
#
O
2
G
$
#
O
2
G
'
#
O
6
>
!
2
G
&
O
?
@
+
:
@
?
D'
F
5
M
E
M
&
$
N
!
2
G
$
#
O
6
>
!
2
G
$
#
O
N
!
2
G
$
#
O
6
>
!
2
G
$
#
O
:
?
!
:
?
D"
(
F
4
M
$
M
&
2
G
$
#
O
2
G
$
#
O
2
G
$
#
O
$
>
4
4
2
G
$
#
O
&
>
>
4
4
E Q01 -4.03 8 E Q02 2.58 3 E Q03 -1.76 3 E Q04 0.75 8 M D01 1. 077 M D02 1. 077 M D03 1. 077 M D04 1. 077 M D05 1. 077 M D06 1. 077 M D07 1. 077 M D08 1. 077 M D09 1. 077 M D10 1. 077 M D11 1. 077 E Q01 2.27 3 E Q02 -0.48 0 E Q03 -1.76 2 E Q04 1.77 6 M D01 1. 077 M D02 1. 077 M D03 1. 077 M D04 1. 077 M D05 1. 077 M D06 1. 077 M D07 1. 077 M D08 1. 077 M D09 1. 077 M D10 1. 077 M D11 1. 077>
E Q01 -4.03 6 E Q02 2.52 8 E Q03 -1.69 9 E Q04 0.73 9 M D01 1. 077 E Q01 2.17 4 E Q02 -0.42 5 E Q03 -1.70 9 E Q04 1.69 2 M D01 1. 077/
O '1( O " 1$ O $1# O #1$ ." E1' .;1; E1( ;1' + , O '1" O " 1" O #1% O $1' .$#1" .&'1' .;1' .;1' + , O E1% O '1E O &1" .% 1( ." 1" O % % 1H &$1" .$1E + , O #1" O '1E O #1' .#1E .&&1$ O $1" .$#1& H + , - . " - . " - . " - . " - . " - . " - . / ( - . / ( 0 ' 1 2 * - 0 . . 0 ' 1 2 * - 0% - 2 ! &1 3 &1 & ! % - 2 ! &1 3 &1 & !
4 . 5 . 6 . + ) ) 6 O '1( O " 1$ O $1# O #1$ ." E1' .;1; E1( ;1' + , O '1" O " 1" O #1% O $1' .$#1" .&'1' .;1' .;1' + , O E1% O '1E O &1" .% 1( ." 1" O % % 1H &$1" .$1E + , O #1" O '1E O #1' .#1E .&&1$ O $1" .$#1& H + , - . " - . " - . " - . " - . " - . " - . / ( - . / ( 0 ' 1 2 * - 0 . . 0 ' 1 2 * - 0
% - 2 ! &1 3 &1 & ! % - 2 ! &1 3 &1 & !
4 . 5
. 6 . + ) ) 6
EQ01 EQ02 EQ03 EQ04
quadrupole -60 -20 20 60 de vi at io n / % optics 1 optics 2
COSY INFINITY 3rd order ↔ COSY INFINITY 3rd order; fringe fields
EQ01 EQ02 EQ03 EQ04
quadrupole -8 -6 -4 -2 0 2 de vi at io n / % optics 1 optics 2
COSY INFINITY 3rd order ↔ TRANSPORT 2nd order
EQ01 EQ02 EQ03 EQ04
quadrupole 0 1 2 3 4 5 de vi at io n / % optics 1 optics 2
COSY INFINITY 3rd order ↔ TRANSPORT 1st order; space charge
/
D&FSome Methods of Generation of Multicharged Ions of Radiaoactive and Stable Isotopes )1 1 > 1
( ) ! ? = ? 7 $$.$( P A&H H ;B &'#(.&'#;1 D$FCharge Breeding Method Results with the PHOENIX Booster ECR Ion Source : 1 5 1
; ) ! ! + E.% P A$##$B &% $'.&% $(1
DEFCharge Breeding ) . : ! 9 6 ! . : .&H H H ." ###E + & $##'1
D'FCOSY INFINITY Version 8.1 User's Guide and Reference Manual 1 > ? Q 6 )! .$#% #'
! 5 5 ? Q 4 5 $##$1
D" FTRANSPORT: a computer program for designing charged-particle beam-transport systems; rev.
version R 1 1 7 1 1 5 + 1 1 + 1 = ) ;#.#' &H ;#1 D(F! ? : + 7 = 3 5 Q 1 3 ) .? .+ ) 4 3 5 R 1 1S 7 1 3 $##E1
