SAD/FFS Examples
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!
! This is an example of SAD/FFS to design a positron ring
! with unit cells and dispersion suppressors. Chromaticity correction
! and also a survey of dynamic aperture are also done.
! The result of execution of this example is available in
! /SAD/doc/design_example.sad.result
!
MOMENTUM= 1 GEV;
ON ECHO;OFF CTIME;
!
! ***** DEFINITION OF ELEMENTS IN MAIN LEVEL *****
!
;
DRIFT L1 = (L = 1)
;
BEND B = (L = 2)
;
QUAD QF = (L = 1 K1 = 0.1 )
QD = (L = 1 K1 = -0.1 )
QSF = (L = 1 K1 = 0.1 )
QSD = (L = 1 K1 = -0.1 )
QRF = (L = 1 K1 = 0.1 )
QRD = (L = 1 K1 = -0.1 )
;
SEXT SF =(L = 1 K2 = 0.1)
SD =(L = 1 K2 = -0.1)
;
MARK IP1 =(BETAX = 10 BETAY =10 EMIX = 4.0E-7
EMIY = 4.0E-7 DP = 0.01 )
;
CAVI CA1 = (L = 1 VOLT=1 MV HARM=100)
;
!
! ***** DEFINITION OF UNIT CELL IN MAIN LEVEL *****
!
! You need at least one LINE to start FFS, but
! other lines can be created in FFS.
!
;
LINE CELL = (IP1 QF L1 SF L1 B 3*L1 QD L1 SD L1 B 3*L1)
;
FFS USE=CELL;
Print[TimeUsed[]];! CPU Time used so far.
!
! Defining parameters:
!
nbends=24; ! number of bends per ring
nxcell=0.25; ! horizontal tune/cell
nycell=0.25; ! vertical tune/cell
Print[TimeUsed[]];! CPU Time used so far.
!
! ***** UNIT CELL MATCHING *****
!
CELL; ! peridic condition
B 2*Pi/nbends; ! settin bending angle to the BEND B
FIT; ! set fit point at end of line
NX nxcell; ! set fit condition NX
NY nycell; ! set fit condition NY
FREE Q*; ! set Q* (in this case QF and QD) as the matching
! variable
GO; ! start matching
! define dr as the drawing command (needs X-Window)
dr:=FFS["OUT 'a' DRAW BX BY & EX EY {BQ}*; TERM OUT; TDR 'a';"];
dr; ! draw optics of unit cell
SAVE; ! save the matching result (values of QF, QD) to
! keep them after swtch the beam line.
Print[TimeUsed[]];! CPU Time used so far.
!
! ***** DISPERSION SUPPRESSOR *****
!
unitcell=ExtractBeamLine[]; ! get the current BeamLine
! define a dispersion suppressor to insert rf
supp=BeamLine[QSF, 8*L1, QSD, 3*L1, B, 3*L1, QRF, 3*L1, CA1, 3*L1, QRD];
USE Join[unitcell, supp]; ! switch the beam line with suppressor
INS; ! now nonperiodic (a transport line)
QRD L 0.5; ! set the thickness of QD
FIT;
AX 0; ! set the end of line to be a symmetry point
AY 0;
EX 0; ! and dispersion-free
EPX 0;
Q*F MIN 0; ! set the lower limit of K1 of QRF, QSF
Q*D MAX 0; ! set the upper limit of K1 of QRD, QSD
FREE QS* QR*;
GO;
dr; ! draw suppressor
SAVE;
Print[TimeUsed[]];! CPU Time used so far.
!
! ***** TOTAL RING *****
!
ncell=(nbends/2-2)/2; ! number of unitcells per half ring.
! Defining a half ring, removing the
! first QF and IP1 markers in unitcell
hring=BeamLine[IP1,-supp,Rest[ncell*Rest[unitcell]],supp];
USE Join[hring,-hring]; ! switch to full ring
CELL; ! now periodic condition again
CAL NX NY; ! set to display NX and NY after CAL
CAL ! calculate the optics of ring
dr; ! draw ring
Print[TimeUsed[]];! CPU Time used so far.
!
! ***** CHROMATICITY CORRECTION *****
!
! get the current tunes
{nx0, ny0}=Twiss[{"NX","NY"},"***"]/2/Pi;
FIT;
NX nx0 5; ! set the offmomentum tunes for 5 points
NY ny0 5; ! in -DP < dp/p0 < DP
DP=0.01; ! set the bandwidth |dp/p0|max = DP = 0.01
FREE S*; ! set S* (SF and SD) sextupoles as variable
GO;
FITP 1; ! set the off-momentum points to 1 (on-momentum only).
!
! Define Functions to display tunes as functions of dp/p0
nx[dp_]:=(DP0=dp;FFS["CALC"];Twiss["NX","***"]/2/Pi);
ny[dp_]:=(DP0=dp;FFS["CALC"];Twiss["NY","***"]/2/Pi);
!
! Plot tunes -3% < dp/p0 < 3%.
Plot[{nx[dp],ny[dp]}, {dp, -0.03, 0.03},
PlotLabel->"Tune Chromaticity",
FrameLabel->{{"`fD`np/p`d0`n","F X X"},{"`fn`n`dx`n, `fn`n`dy`n","GX X GX X"}}];
! draw chromaticity
If[$DisplayFunction === CanvasDrawer, Update[]];
TYPE; ! print out all elements
PrintBeamLine[ExtractBeamLine[]]; ! print out all beam line
Print[TimeUsed[]];! CPU Time used so far.
!
! ***** EMITTANCE CALCULATION *****
!
EMIOUT; ! turn on the output of matrices by EMIT.
EMIT; ! This (or Emittance[]) is necessary before tracking
Print[TimeUsed[]];! CPU Time used so far.
!
! ***** DYNAMIC APERTURE *****
!
! Dynamic aperture for 1000 turns,
DynamicApertureSurvey[{{0,100},{0,100},Range[-30,30,4]},
1000,Output->6];
!
Print[TimeUsed[]];! CPU Time used so far.
ABORT ! stop SAD.
*** Welcome to SAD Ver.1.1.0.7k64 built at 2017-06-19 14:13:42 +0900 ***
*** Today: 03:24:38 Thursday 06/22/2017 ***
OFF LOG ECHO;READ 77 ; 23
!
! ***** DEFINITION OF ELEMENTS IN MAIN LEVEL *****
!
;
DRIFT L1 = (L = 1)
;
BEND B = (L = 2)
;
QUAD QF = (L = 1 K1 = 0.1 )
QD = (L = 1 K1 = -0.1 )
QSF = (L = 1 K1 = 0.1 )
QSD = (L = 1 K1 = -0.1 )
QRF = (L = 1 K1 = 0.1 )
QRD = (L = 1 K1 = -0.1 )
;
SEXT SF =(L = 1 K2 = 0.1)
SD =(L = 1 K2 = -0.1)
;
MARK IP1 =(BETAX = 10 BETAY =10 EMIX = 4.0E-7
EMIY = 4.0E-7 DP = 0.01 )
;
CAVI CA1 = (L = 1 VOLT=1 MV HARM=100)
;
!
! ***** DEFINITION OF UNIT CELL IN MAIN LEVEL *****
!
! You need at least one LINE to start FFS, but
! other lines can be created in FFS.
!
;
LINE CELL = (IP1 QF L1 SF L1 B 3*L1 QD L1 SD L1 B 3*L1)
;
FFS USE=CELL;
*** SADScript Initialization: /Users/oide/SAD/oldsad/Packages/init.n ***
*** Run time Environment: /Users/oide/SAD/oldsad/Packages/init.local.n ***
RFSW RADCOD RAD FLUC INTRA POL COD DAPER EMIOU CMPLO FOURI SMEAR
F F F T F F T F F F F T
Print[TimeUsed[]];! CPU Time used so far.
.013938000425696373
!
! Defining parameters:
!
nbends=24; ! number of bends per ring
nxcell=0.25; ! horizontal tune/cell
nycell=0.25; ! vertical tune/cell
Print[TimeUsed[]];! CPU Time used so far.
.013987000100314617
!
! ***** UNIT CELL MATCHING *****
!
CELL; ! peridic condition
B 2*Pi/nbends; ! settin bending angle to the BEND B
FIT; ! set fit point at end of line
NX nxcell; ! set fit condition NX
NY nycell; ! set fit condition NY
FREE Q*; ! set Q* (in this case QF and QD) as the matching
! variable
GO; ! start matching
Iterations Residual Method Reduction Variables
2 4.3472E-03 (NEWTON) 1.000 2
3 1.6466E-07 (NEWTON) 1.000 2
Matched. ( 1.6175E-15) DP = 0.01000 DP0 = 0.00000 ExponentOfResidual = 2.0 OffMomentumWeight = 1.000
$$$ f AX ####### # -1.496566 $$$ f BX ####### # 23.647704 $$$ f NX .25 1 .250000
$$$ f AY ####### # .467389 $$$ f BY ####### # 6.097759 $$$ f NY .25 1 .250000
$$$ f LENG ####### # 18.000000
! define dr as the drawing command (needs X-Window)
dr:=FFS["OUT 'a' DRAW BX BY & EX EY {BQ}*; TERM OUT; TDR 'a';"];
dr; ! draw optics of unit cell
sh: tdr: command not found
SAVE; ! save the matching result (values of QF, QD) to
! keep them after swtch the beam line.
Print[TimeUsed[]];! CPU Time used so far.
.4507949948310852
!
! ***** DISPERSION SUPPRESSOR *****
!
unitcell=ExtractBeamLine[]; ! get the current BeamLine
! define a dispersion suppressor to insert rf
supp=BeamLine[QSF, 8*L1, QSD, 3*L1, B, 3*L1, QRF, 3*L1, CA1, 3*L1, QRD];
USE Join[unitcell, supp]; ! switch the beam line with suppressor
INS; ! now nonperiodic (a transport line)
QRD L 0.5; ! set the thickness of QD
FIT;
AX 0; ! set the end of line to be a symmetry point
AY 0;
EX 0; ! and dispersion-free
EPX 0;
Q*F MIN 0; ! set the lower limit of K1 of QRF, QSF
Q*D MAX 0; ! set the upper limit of K1 of QRD, QSD
FREE QS* QR*;
GO;
Iterations Residual Method Reduction Variables
3 258.4 (NEWTON) 6.2500E-02 4
4 118.5 (NEWTON) 0.2500 4
5 36.05 (NEWTON) 1.000 3
7 22.82 (NEWTON) 0.2044 3
8 4.008 (NEWTON) 0.8176 2
9 2.705 (NEWTON) 1.000 4
13 2.465 (NEWTON) 1.5625E-02 4
14 2.096 (NEWTON) 6.2500E-02 4
15 0.4112 (NEWTON) 0.2500 4
17 0.2073 (NEWTON) 0.2077 4
18 1.5378E-03 (NEWTON) 0.8306 4
19 1.4651E-06 (NEWTON) 1.000 4
Matched. ( 2.7823E-13) DP = 0.01000 DP0 = 0.00000 ExponentOfResidual = 2.0 OffMomentumWeight = 1.000
$$$ f AX 0 1 1.9485E-9 $$$ f BX ####### # 1.784152 $$$ f NX ####### # .716798
$$$ f AY 0 1 -5.273E-7 $$$ f BY ####### # 110.11073 $$$ f NY ####### # .792207
$$$ f EX 0 1 -2.011E-9 $$$ f EPX 0 1 -1.89E-10 $$$ f LENG ####### # 44.500000
dr; ! draw suppressor
sh: tdr: command not found
SAVE;
Print[TimeUsed[]];! CPU Time used so far.
.6118450164794922
!
! ***** TOTAL RING *****
!
ncell=(nbends/2-2)/2; ! number of unitcells per half ring.
! Defining a half ring, removing the
! first QF and IP1 markers in unitcell
hring=BeamLine[IP1,-supp,Rest[ncell*Rest[unitcell]],supp];
USE Join[hring,-hring]; ! switch to full ring
CELL; ! now periodic condition again
CAL NX NY; ! set to display NX and NY after CAL
CAL ! calculate the optics of ring
Matched. ( 0.000 ) DP = 0.01000 DP0 = 0.00000 ExponentOfResidual = 2.0 OffMomentumWeight = 1.000
$$$ f AX ####### # 4.496E-15 $$$ f BX ####### # 1.784152 $$$ f NX ####### # 4.354010
$$$ f AY ####### # .000000 $$$ f BY ####### # 110.11071 $$$ f NY ####### # 4.615261
$$$ f LENG ####### # 284.00000
dr; ! draw ring
sh: tdr: command not found
Print[TimeUsed[]];! CPU Time used so far.
.7871990203857422
!
! ***** CHROMATICITY CORRECTION *****
!
! get the current tunes
{nx0, ny0}=Twiss[{"NX","NY"},"***"]/2/Pi;
FIT;
NX nx0 5; ! set the offmomentum tunes for 5 points
NY ny0 5; ! in -DP < dp/p0 < DP
DP=0.01; ! set the bandwidth |dp/p0|max = DP = 0.01
FREE S*; ! set S* (SF and SD) sextupoles as variable
GO;
Iterations Residual Method Reduction Variables
2 3.8125E-04 (NEWTON) 1.000 2
*****qcod---> Overflow & closed orbit not found
***qmdiag---> Sum resonance: (TrA-TrB)^2 = NaN
*****qcod---> Overflow & closed orbit not found
***qmdiag---> Sum resonance: (TrA-TrB)^2 = NaN
19 3.8110E-04 (NEWTON) 1.000 2
*****qcod---> Overflow & closed orbit not found
***qmdiag---> Sum resonance: (TrA-TrB)^2 = NaN
*****qcod---> Overflow & closed orbit not found
***qmdiag---> Sum resonance: (TrA-TrB)^2 = NaN
Residual = 3.8110E-04 DP = 0.01000 DP0 = 0.00000 ExponentOfResidual = 2.0 OffMomentumWeight = 1.000
DP -.010000 -.005000 .000000 .005000 .010000
Res. 2.1016E-4 1.4048E-5 1.262E-29 8.4830E-6 1.4841E-4
$$$ f AX ####### # 1.801E-13 8.910E-15 4.496E-15 -7.77E-16 -5.68E-14
$$$ f BX ####### # 1.441761 1.605653 1.784152 1.987500 2.229826
$$$ f NX 4.35401 5 4.362037 4.356146 4.354010 4.355570 4.360806
$$$ f AY ####### # -1.76E-13 -1.07E-14 .000000 -3.55E-15 2.842E-14
$$$ f BY ####### # 120.28086 114.82778 110.11071 105.30067 99.771915
$$$ f NY 4.61526 5 4.623219 4.617256 4.615261 4.616912 4.621898 $$$ f LENG ####### # 284.00000
FITP 1; ! set the off-momentum points to 1 (on-momentum only).
!
! Define Functions to display tunes as functions of dp/p0
nx[dp_]:=(DP0=dp;FFS["CALC"];Twiss["NX","***"]/2/Pi);
ny[dp_]:=(DP0=dp;FFS["CALC"];Twiss["NY","***"]/2/Pi);
!
! Plot tunes -3% < dp/p0 < 3%.
Plot[{nx[dp],ny[dp]}, {dp, -0.03, 0.03},
PlotLabel->"Tune Chromaticity",
FrameLabel->{{"`fD`np/p`d0`n","F X X"},{"`fn`n`dx`n, `fn`n`dy`n","GX X GX X"}}];
! draw chromaticity
If[$DisplayFunction === CanvasDrawer, Update[]];
TYPE; ! print out all elements
;
DRIFT L1 =(L =1 )
;
BEND B =(L =2 ANGLE =.2617993877991494 )
;
QUAD QRD =(L =.5 K1 =-.10786211799536628 )
QRF =(L =1 K1 =.19457865291109588 )
QSD =(L =1 K1 =-.21812755206494133 )
QSF =(L =1 K1 =.15519425429347913 )
QD =(L =1 K1 =-.1560624058480439 )
QF =(L =1 K1 =.12696257666020427 )
;
SEXT SF =(L =1 K2 =.12077485876546518 )
SD =(L =1 K2 =-.20111895529987897 )
;
CAVI CA1 =(L =1 VOLT =1e+06 HARM =100 )
;
MARK IP1 =(AX =7.860360223627436e-16 BX =2.133211472511629 AY =-8.940641242780481e-16 BY =101.954887820973
EX =-.14915073411690172 EPX =-1.0665720120238569e-15 DX =-.0006171254879809269 DPX =-3.331075846934373e-16
DDP =.008125 BZ =1 DP =.01 EMITX =4e-07 EMITY =4e-07 )
;
PrintBeamLine[ExtractBeamLine[]]; ! print out all beam line
BeamLine[
IP1, -QRD, -L1, -L1, -L1, -CA1,
-L1, -L1, -L1, -QRF, -L1, -L1,
-L1, -B, -L1, -L1, -L1, -QSD,
-L1, -L1, -L1, -L1, -L1, -L1,
-L1, -L1, -QSF, L1, SF, L1,
B, L1, L1, L1, QD, L1,
SD, L1, B, L1, L1, L1,
QF, L1, SF, L1, B, L1,
L1, L1, QD, L1, SD, L1,
B, L1, L1, L1, QF, L1,
SF, L1, B, L1, L1, L1,
QD, L1, SD, L1, B, L1,
L1, L1, QF, L1, SF, L1,
B, L1, L1, L1, QD, L1,
SD, L1, B, L1, L1, L1,
QF, L1, SF, L1, B, L1,
L1, L1, QD, L1, SD, L1,
B, L1, L1, L1, QSF, L1,
L1, L1, L1, L1, L1, L1,
L1, QSD, L1, L1, L1, B,
L1, L1, L1, QRF, L1, L1,
L1, CA1, L1, L1, L1, QRD,
-QRD, -L1, -L1, -L1, -CA1, -L1,
-L1, -L1, -QRF, -L1, -L1, -L1,
-B, -L1, -L1, -L1, -QSD, -L1,
-L1, -L1, -L1, -L1, -L1, -L1,
-L1, -QSF, -L1, -L1, -L1, -B,
-L1, -SD, -L1, -QD, -L1, -L1,
-L1, -B, -L1, -SF, -L1, -QF,
-L1, -L1, -L1, -B, -L1, -SD,
-L1, -QD, -L1, -L1, -L1, -B,
-L1, -SF, -L1, -QF, -L1, -L1,
-L1, -B, -L1, -SD, -L1, -QD,
-L1, -L1, -L1, -B, -L1, -SF,
-L1, -QF, -L1, -L1, -L1, -B,
-L1, -SD, -L1, -QD, -L1, -L1,
-L1, -B, -L1, -SF, -L1, -QF,
-L1, -L1, -L1, -B, -L1, -SD,
-L1, -QD, -L1, -L1, -L1, -B,
-L1, -SF, -L1, QSF, L1, L1,
L1, L1, L1, L1, L1, L1,
QSD, L1, L1, L1, B, L1,
L1, L1, QRF, L1, L1, L1,
CA1, L1, L1, L1, QRD, -IP1
];
Print[TimeUsed[]];! CPU Time used so far.
1.1492799520492554
!
! ***** EMITTANCE CALCULATION *****
!
EMIOUT; ! turn on the output of matrices by EMIT.
EMIT; ! This (or Emittance[]) is necessary before tracking
Closed orbit:
x px/p0 y py/p0 z dp/p0
Entrance : .000000 .000000 .000000 .000000 .000000 .000000
Exit : .000000 .000000 .000000 .000000 .000000 .000000
Symplectic part of the transfer matrix:
x px/p0 y py/p0 z dp/p0
x : -.607983 1.416528 .000000 .000000 -1.5E-11 -4.04E-9
px/p0 : -.445001 -.607983 .000000 .000000 -8.1E-12 -1.07E-9
y : .000000 .000000 -.749024 -72.9530 .000000 .000000
py/p0 : .000000 .000000 .006017 -.749024 .000000 .000000
z : 1.073E-9 4.037E-9 .000000 .000000 .902210 -21.8235
dp/p0 : 8.06E-12 1.52E-11 .000000 .000000 .008524 .902210
x px/p0 y py/p0 z dp/p0
x : 1.000000 .000000 .000000 .000000 1.02E-15 -2.5E-13
px/p0 : .000000 1.000000 .000000 .000000 3.49E-18 2.31E-15
y : .000000 .000000 1.000000 .000000 .000000 .000000
py/p0 : .000000 .000000 .000000 1.000000 .000000 .000000
z : 2.31E-15 2.53E-13 .000000 .000000 1.000000 .000000
dp/p0 : -3.5E-18 1.02E-15 .000000 .000000 .000000 1.000000
X Px Y Py Z Pz
X : -.607983 .793950 .000000 .000000 -3.3E-15 -1.3E-14
Px : -.793950 -.607983 .000000 .000000 1.09E-16 1.89E-16
Y : .000000 .000000 -.749024 -.662542 .000000 .000000
Py : .000000 .000000 .662542 -.749024 .000000 .000000
Z : -1.1E-14 -7.9E-15 .000000 .000000 .902210 -.431296
Pz : -2.1E-15 -1.7E-15 .000000 .000000 .431296 .902210
Extended Twiss Parameters:
AX: 2.22E-16 BX: 1.784152 ZX: 1.23E-16 EX: -2.67E-9
PSIX: -1.5E-25 ZPX: -5.3E-12 EPX: 3.18E-16
R1: .000000 R2: .000000 AY: -7.1E-14 BY: 110.1107 ZY: .000000 EY: .000000
R3: .000000 R4: .000000 PSIY: .000000 ZPY: .000000 EPY: .000000
AZ: 7.03E-14 BZ: 50.59996
PSIZ: -6.2E-17
Units: B(X,Y,Z), E(X,Y), R2: m | PSI(X,Y,Z): radian | ZP(X,Y), R3: 1/m
Design momentum P0 = 1.0000000 GeV Revolution freq. f0 = 1055607.1 Hz
Energy loss per turn U0 = .0115797 MV Effective voltage Vc = 4.0000000 MV
Equilibrium position dz = 1.3085120 mm Momentum compact. alpha = .0791212
Orbit dilation dl = .0000000 mm Effective harmonic # h = 100.00000
Bucket height dV/P0 = .0178992
Eigen values and eigen vectors:
Real:-0.6079827-0.6079827-0.7490243-0.7490243 0.9022104 0.9022104
Imaginary: 0.7939503-0.7939503-0.6625425 0.6625425-0.4312961 0.4312961
Imag.tune:-0.0000000 0.0000000 -0.0000000
Real tune: 0.3540105 -0.3847387 -0.0709718
X Px Y Py Z Pz
x : 1.335722 -2.1E-25 .000000 .000000 8.76E-16 -3.8E-10
px/p0 : -1.7E-16 .748659 .000000 .000000 -3.8E-11 4.47E-17
y : .000000 .000000 10.49336 .000000 .000000 .000000
py/p0 : .000000 .000000 6.74E-15 .095298 .000000 .000000
z : -4.2E-16 -2.00E-9 .000000 .000000 7.113365 -4.4E-16
dp/p0 : -7.1E-12 -9.2E-17 .000000 .000000 -9.9E-15 .140580
x px/p0 y py/p0 z dp/p0
X : .748659 2.05E-25 .000000 .000000 -9.2E-17 2.001E-9
Px : 1.67E-16 1.335722 .000000 .000000 7.12E-12 -4.2E-16
Y : .000000 .000000 .095298 .000000 .000000 .000000
Py : .000000 .000000 -6.7E-15 10.49336 .000000 .000000
Z : 4.47E-17 3.76E-10 .000000 .000000 .140580 4.44E-16
Pz : 3.79E-11 8.76E-16 .000000 .000000 9.87E-15 7.113365
x px/p0 y py/p0 z dp/p0
x : 1.000000 .000000 .000000 .000000 4.26E-31 -5.2E-26
px/p0 : .000000 1.000000 .000000 .000000 4.19E-30 -2.1E-30
y : .000000 .000000 1.000000 .000000 .000000 .000000
py/p0 : .000000 .000000 .000000 1.000000 .000000 .000000
z : -2.1E-30 5.17E-26 .000000 .000000 1.000000 .000000
dp/p0 : .000000 3.94E-31 .000000 .000000 .000000 1.000000
Radiation part of the transfer matrix:
x px/p0 y py/p0 z dp/p0
x : 1.512E-6 -4.38E-6 .000000 .000000 -2.63E-8 -3.50E-6
px/p0 : 1.375E-6 2.246E-6 .000000 .000000 1.562E-8 4.142E-6
y : .000000 .000000 4.261E-6 4.224E-4 .000000 .000000
py/p0 : .000000 .000000 -3.48E-8 4.413E-6 .000000 .000000
z : 1.182E-6 -1.00E-6 .000000 .000000 1.043E-6 3.116E-4
dp/p0 : 4.457E-9 -7.50E-9 .000000 .000000 -1.22E-7 -2.68E-5
X Px Y Py Z Pz
X : 1.512E-6 -2.45E-6 .000000 .000000 -1.40E-7 -3.69E-7
Px : 2.454E-6 2.246E-6 .000000 .000000 1.485E-7 7.777E-7
Y : .000000 .000000 4.261E-6 3.836E-6 .000000 .000000
Py : .000000 .000000 -3.84E-6 4.413E-6 .000000 .000000
Z : 2.219E-7 -1.05E-7 .000000 .000000 1.043E-6 6.158E-6
Pz : 4.235E-8 -4.00E-8 .000000 .000000 -6.16E-6 -2.68E-5
Damping per one revolution:
X : -3.090634E-06 Y : -5.789858E-06 Z : -1.427878E-05
Damping time (sec):
X : 0.306514 Y : 0.163618 Z : 6.634474E-02
Tune shift due to radiation:
X : 4.149566E-13 Y : -7.280353E-14 Z : 4.149451E-12
Damping partition number:
X : 0.5338 Y : 1.0000 Z : 2.4662
Beam matrix by radiation fluctuation:
x px/p0 y py/p0 z dp/p0
x 4.887E-12
px/p0 -1.27E-13 1.645E-12
y .0000000 .0000000 .0000000
py/p0 .0000000 .0000000 .0000000 .0000000
z -3.91E-12 7.694E-12 .0000000 .0000000 7.342E-10
dp/p0 5.521E-13 -6.12E-13 .0000000 .0000000 -4.65E-11 4.131E-12
X Px Y Py Z Pz
X 2.739E-12
Px -1.27E-13 2.934E-12
Y .0000000 .0000000 .0000000
Py .0000000 .0000000 .0000000 .0000000
Z -4.12E-13 1.445E-12 .0000000 .0000000 1.451E-11
Pz 2.940E-12 -5.82E-12 .0000000 .0000000 -4.65E-11 2.090E-10
Equiliblium beam matrix:
X Px Y Py Z Pz
X 4.5893E-7
Px 1.112E-13 4.5893E-7
Y .0000000 .0000000 .0000000
Py .0000000 .0000000 .0000000 .0000000
Z 1.633E-13 5.471E-18 .0000000 .0000000 3.9141E-6
Pz 2.538E-17 -1.86E-12 .0000000 .0000000 1.391E-12 3.9141E-6
x px/p0 y py/p0 z dp/p0
x 8.1881E-7
px/p0 1.112E-13 2.5723E-7
y .0000000 .0000000 .0000000
py/p0 .0000000 .0000000 .0000000 .0000000
z 1.551E-12 -1.71E-15 .0000000 .0000000 1.9805E-4
dp/p0 -2.06E-16 -1.96E-13 .0000000 .0000000 1.391E-12 7.7353E-8
Emittance X = 4.58933E-7 m Emittance Y = .00000000 m
Emittance Z = 3.91405E-6 m Energy spread = 2.78124E-4
Bunch Length = 14.0730586 mm Beam tilt = .00000000 rad
Beam size xi = .90487914 mm Beam size eta = .00000000 mm
Print[TimeUsed[]];! CPU Time used so far.
1.1630330085754395
!
! ***** DYNAMIC APERTURE *****
!
! Dynamic aperture for 1000 turns,
DynamicApertureSurvey[{{0,100},{0,100},Range[-30,30,4]},
1000,Output->6];
Turns =1000 Maximum number of particles =224
Range Xmin: 0.000 Xmax: 100.000
(Ymin: 0.000 Ymax: 100.000)
Zmin: -30.000 Zmax: 30.000
Display: 100 turns/character
NZ 0----|----1----|----2----|----3----|----4----|----5
-30.00 11 ****AAAAAAA1 113411121 1 . . .
-26.00 11 ****AAAAAAA12 273332221411 1 . .
-22.00 11 ****AAAAAAA 84994557337521 . . .
-18.00 11 ****AAAAAAA12 236AA67494412 . . .
-14.00 12 *****AAAAAAA5 127AAAA6AA442111. . .
-10.00 25 ******************AAAAAAA512 . . .
-6.00 13 ******AAAAAAA1AA87AAAAAA779A1112 . .
-2.00 13 ******AAAAAAA78AA8AAAAAA3A421 .1 . .
2.00 12 *****AAAAAAA342AAA7AAAA54A468 . . .
6.00 12 *****AAAAAAA5223AA8AAAA4A23A6 1A . .
10.00 12 *****AAAAAAA7A16424AAA4A1 18 31 . .
14.00 12 *****AAAAAAA4493849A921A111 1A121 1 . .
18.00 11 ****AAAAAAA12 12115A231216 21 .22 . .
22.00 11 ****AAAAAAA 1 1 2 7A2211 33314113 . .
26.00 11 ****AAAAAAA1251121A3. 21432 11 1 . .
30.00 11 ****AAAAAAA 111333A24 A 16 3 5 . .
NZ 0----|----1----|----2----|----3----|----4----|----5
Score: 199
!
Print[TimeUsed[]];! CPU Time used so far.
3.218843936920166
ABORT ! stop SAD.
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SAD/Tkinter Manual (in JP, 706K 10/29/1997)
SAD/Tkinter Manual (in JP, 5155K 10/29/1997)