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Initial parameters of e+ capture section!

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present capt. section!

L-band capt. section!

accelerating structures!

1m x 2 + 2m x 2!

2m x 2 + 2m x 4!

RF frequency!

2856 MHz

1298 MHzaperture of the structures!

20 mm in diameter!

30 mm in diameter!

accel. field gradient!

14.0 - 13.2 MV/m!

10.0 MV/m!

accel. phase!

-30 deg!

-30 deg!

solenoid field %strong&!

2.0 T x 45 mm QWT!

6.0 T x 220 mm AMD!

solenoid field %weak&!

0.4 T x 7.9 m!

0.4 T x 13.1 m!

energy after capt. sec.!

~ 80 MeV!

~ 120 MeV!

(!=10.5cm)!

(!=23.1cm)!

Increase e+ capture efficiency by enlarging these acceptances !

!!longitudinal acceptance by longer wave length of L-band RF!
!!transverse acceptance by larger aperture of L-band structure!!energy acceptance by adiabatic matching device(AMD)

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(In the case of synchrotron oscillation, there is no shift) !

Beam loss will arise by the b-b effect anyway.
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Needs more study.!

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Ca%s%\7\%O($P%X"^7^%O($P!
7896!8;<==!

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2'+$%C?%L+'@,#!

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3N(0A'+,'+(%@(/"01+(%)0A"$"%@)%@("F@,#:D"!

i<?B^h!
betatron injection!

synchrotron injection

7896!8;<==!

=B,A%565!%E"F@"GY%>#+W+%.@-#!

%&x=1.89m!

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r?mA(@)A@!

Example (&x=1m at the injection point)!
Injection Point!

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L@a"-%)0A"$"%)A+4D-%:"%0+()@-"'"-?!

U...V!

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7896!8;<==!

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6H3%j#'#$","'%)0#(!

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Charge @DR (nC)!

6.225!

DR loss @DR (nC)!

0.0166(0.0267%)!

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U.VSO;P!

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L?5@W40A@!

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Q6E%.(/"01+(%G@,A%!"#$S!"#$%
w/o Beam!Beam"

w/ Beam!Beam"herfqlc5092"" ! Vertical emittance growth :4 times larger
than that of w/o Beam!Beam"" ! Vertical coherent oscillation"" ! Beam loss : 15 #, CW can recover beam loss.
"\=%!",#%24(01+(%#,%.j!
IJKLMN(OPQRSTPU!

z2" y (z) = " + *
"y
*
y

17V!

z=
!

!
2"!

$min.(Z*=0)!

!
z*!

x
tan2"

r?mA(@)A@!

zWPXYZ[PQ\W
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x = 2J x " x

2" x*" y (z) = " + * 2 J x" y tan 2#*y!

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3N(0A'+,'+(%@(/"01+(!

The energy of injected beam is shifted to #0!

r?94(#W+)A@!

Synchrotron injection schemexinjection beam
septuminjection bump for the particle with an energy deviation (horizontal
dispersion at the injection point)xco

ws=4 mminjection bumpkickerkickerFocusing Xco can not be set zero due to thickness of the septum magnet
Quadrupole and for other reasons in case of the usual betatron injection(stacking mode).
In case of synchrotron injection, Xco can be zero but thesynchrotron oscillation is induced, since the energy of theinjected beam should be different from that of the stored beam.

[.[C%34*"'565!!