1DIMAT VERSION 1.01 0DATE AND TIME OF THIS RUN: 22Jul92 12:43:54 !PEP MINI BETA GIVEN BY M.DONALD DECEMBER 1982 UTRANSPORT F1: DRIFT, L=6.3312097 F2: DRIFT, L=1.7750361 5 F17: DRIFT, L=1.0827059 F24: DRIFT F3: DRIFT, L=45.0328355 F4: DRIFT, L=0.3655194 F5: DRIFT, L=0.8655196 10 F6: DRIFT, L=0.1143194 F7: DRIFT, L=0.2238 F8: DRIFT, L=0.21 F9: DRIFT, L=0.7308219 F18: DRIFT, L=0.1101719 15 F10: DRIFT, L=0.18935 F11: DRIFT, L=0.2255196 F16: DRIFT, L=0.2755196 F20: DRIFT, L=0.1096219 F20N: DRIFT 20 F12: DRIFT, L=0.4088 F12N: DRIFT, L=0.299522 F21: DRIFT, L=0.2236341 F22: DRIFT, L=0.1124339 F22N: DRIFT, L=0.00298 25 F13: DRIFT, L=0.1888 F13N: DRIFT, L=0.079350 F23: DRIFT, L=0.7336339 F14: DRIFT, L=0.6088 F25: DRIFT, L=0.0896219 30 FSSS: DRIFT, L=2.5108218 Q1H: QUADRUPOLE, L=1.01877, K1=-0.1238989 Q2H: QUADRUPOLE, L=0.771088, K1=0.1031881 Q3: QUADRUPOLE, L=0.998961, K1=-0.1383144 QF1: QUADRUPOLE, L=0.998961, K1=0.1583601 35 QD1: QUADRUPOLE, L=0.558356, K1=-0.2713212 QF2: QUADRUPOLE, L=0.998961, K1=0.1949534 QF3: QUADRUPOLE, L=0.732732, K1=0.2280130 QF: QUADRUPOLE, L=0.732732, K1=0.1963154 QD: QUADRUPOLE, L=0.558356, K1=-0.2567779 40 QS1: QUADRUPOLE, L=0.558356, K1=0.1400814 QS2: QUADRUPOLE, L=0.732732, K1=-0.2402359 HBB: SBEND, L=5.4, ANGLE=1.86927, E1=0.934635, E2=0.934635, & FINT=0.0 HLOWFLD: SBEND, L=2.0, ANGLE=0.04584, E1=0.02292, E2=0.02292, & 45 FINT=0.0 SQ3: SEXTUPOLE, L=0.2424, K2=0.0 SF1: SEXTUPOLE, L=0.2424, K2=0.8919595 SD1: SEXTUPOLE, L=0.4613, K2=0.10810427 SD: SEXTUPOLE, L=0.4613, K2=-2.005159 50 SF: SEXTUPOLE, L=0.2424, K2=1.5227785 SD2: SEXTUPOLE, L=0.4613, K2=-2.005181 SF2: SEXTUPOLE, L=0.2424, K2=1.4650536 SD5: SEXTUPOLE, L=0.4613, K2=-1.889378 SF6: SEXTUPOLE, L=0.2424, K2=2.16184 55 SD6: SEXTUPOLE, L=0.4613, K2=-2.00556 SD7: SEXTUPOLE, L=0.4613, K2=0.0 SF9: SEXTUPOLE, L=0.2424, K2=0.0 SSYN: GKICK, T=-146. BL: LINE= ( & 60 F1,Q1H,Q1H,F2,SQ3,F17,Q2H,F24,Q2H,F3,Q3,F4,HLOWFLD,F5, & QF1,F6,SQ3,F7,HLOWFLD,F8,HBB,F9,QD1,F18,SD7,F10,HBB,F11, & QF2,F16,HBB,F9,QD1,F20,SQ3,F12,HBB,F21, & QF3,F22,SF1,F13,HBB,F9,QD,F20N,SD1,F12N,HBB,F21, & QF,F22,SF2,F13,HBB,F9,QD,F20N,SD2,F12N,HBB,F21, & 65 QF,F22,SF,F13,HBB,F9,QD,F18,SD,F10,HBB,F21, & QF,F22,SF1,F13,HBB,F9,QD,F18,SD1,F10,HBB,F21, & QF,F22,SF2,F13,HBB,F9,QD,F18,SD2,F10,HBB,F21, & QF,F22,SF,F13,HBB,F23,QS2,F22N,SD,F13N,HBB,F14,SF9,F25,QS1,FSSS, & FSSS,QS1,F25,SF9,F14,HBB,F13N,SD,F22N,QS2,F23,HBB,F13,SF,F22,QF, & 70 F21,HBB,F10,SD2,F18,QD,F9,HBB,F13,SF2,F22,QF, & F21,HBB,F10,SD1,F18,QD,F9,HBB,F13,SF1,F22,QF, & F21,HBB,F10,SD,F18,QD,F9,HBB,F13,SF,F22,QF, & F21,HBB,F12N,SD2,F20N,QD,F9,HBB,F13,SF2,F22,QF, & F21,HBB,F12N,SD1,F20N,QD,F9,HBB,F13,SF1,F22,QF3, & 75 F21,HBB,F12,SQ3,F20,QD1,F9,HBB,F16,QF2, & F11,HBB,F10,SD7,F18,QD1,F9,HBB,F8,HLOWFLD,F7,SQ3,F6,QF1, & F5,HLOWFLD,F4,Q3,F3,Q2H,F24,Q2H,F17,SQ3,F2,Q1H,Q1H,F1) USE,BL DIMAT 1 ****************************************************** * DIMAD PROGRAM : LAST MODIFIED ON MARCH 3, 1989 * ****************************************************** 1 TOTAL LENGTH OF MACHINE IS: 366.667 METERS IN THIS RUN THERE ARE : 54 DISTINCT ELEMENTS. MAX IS MXELMD : 1000 228 ELEMENTS IN MACHINE.MAX IS MAXPOS :12000 25 MATRICES DEFINED. MAX IS MAXMAT : 500 158 VALUES IN ELDAT. MAX IS MAXDAT :15000 1 OPERATION LIST , MATRIX AT END OF LATTICE (SECOND ORDER) 2 -1, AFTER :F1 ELEMENT #: 228 ****************************** * TRANSFORMATION MATRIX * ****************************** FIRST ORDER MATRIX - -.2181606E+00 -.1951821E+01 .0000000E+00 .0000000E+00 .0000000E+00 -.9747317E-05 - .4879576E+00 -.2181606E+00 .0000000E+00 .0000000E+00 .0000000E+00 .3904475E-05 - .0000000E+00 .0000000E+00 .9781388E+00 .2287595E-01 .0000000E+00 .0000000E+00 - .0000000E+00 .0000000E+00 -.1890388E+01 .9781388E+00 .0000000E+00 .0000000E+00 - .3904475E-05 -.9747317E-05 .0000000E+00 .0000000E+00 .1000000E+01 .8501641E+00 - .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 .1000000E+01 SECOND ORDER TERMS -.1049177E+01 .1981556E+01 .0000000E+00 .0000000E+00 .0000000E+00 .1418683E+00 -.2473426E+01 .0000000E+00 .0000000E+00 .0000000E+00 -.5569898E+01 .2277693E+01 -.8239475E+00 .0000000E+00 .0000000E+00 -.1279502E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.1633207E+01 .1019724E+00 -.5091375E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.1360766E+01 .2263954E+01 .0000000E+00 .0000000E+00 .0000000E+00 .1418810E+00 .1529220E+00 -.7723785E+00 .0000000E+00 .0000000E+00 .3836156E-01 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 .6542020E+00 .0000000E+00 .0000000E+00 -.6104569E+00 -.9271475E-01 .0000000E+00 .0000000E+00 .0000000E+00 -.1289686E+01 .2314575E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.1468672E-01 .0000000E+00 .0000000E+00 -.3052220E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.1160938E+01 .7624899E+00 .0000000E+00 .0000000E+00 .0000000E+00 .2898220E+01 .9101439E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.2647798E+02 .0000000E+00 .0000000E+00 -.1467574E-01 .0000000E+00 .0000000E+00 .0000000E+00 .6059024E-01 .1734518E+01 .0000000E+00 .0000000E+00 .0000000E+00 .1308420E+01 -.5331117E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.3266411E+01 -.1388797E+02 -.6345983E+00 .0000000E+00 .0000000E+00 .1602947E+00 .0000000E+00 .0000000E+00 .0000000E+00 .0000000E+00 -.1120833E+01 HORIZONTAL MOVEMENT ANALYSIS COMPACTION FACTOR = .2318629E-02 GAMMA TR = .2076751E+02 COS(MU)= -.21816060257921E+00 NU = .71499716868934E+00 ETA = -.80016683064770E-05 ETAP = .28736590540414E-13 ALPHA = .59725319669488E-15 BETA = .19999950802351E+01 DMU /DELTA= .14538703028877E+00 CHROMATICITY = .23139064531909E-01 DALPHA /DDELTA= .66944048533230E-13 DBETA/DDELTA= .56423878777108E+01 DETA/DDELTA= -.13406932690425E+01 DETAP/DDELTA= .83587377313066E-05 VERTICAL MOVEMENT ANALYSIS COS(MU)= .97813883011348E+00 NU = .33340046515677E-01 ETA = .00000000000000E+00 ETAP = .00000000000000E+00 ALPHA = -.32032910221988E-14 BETA = .11000540417711E+00 DMU /DELTA= .70601733461585E-01 CHROMATICITY = .11236614871268E-01 DALPHA /DDELTA= .33563667141889E-12 DBETA/DDELTA= -.15042733645373E+01 DETA/DDELTA= .00000000000000E+00 DETAP/DDELTA= .00000000000000E+00 1 OPERATION LIST , GEOMETRIC ABERRATIONS 2 0 .11 0 0 0 0 0 0 2 1000 1 1 -1 4.5 2.25 9 4.5 110; INITIAL POSITIONS OF PARTICLES 1 .30000E-02 .00000E+00 .49749E-03 .00000E+00 .00000E+00 .00000E+00 2 .42426E-02 .00000E+00 .70356E-03 .00000E+00 .00000E+00 .00000E+00 PARTICLE POSITIONS AFTER ELEMENT 228(F1 ) DURING TURN 1000 1 -.19328E-02 -.11511E-02 -.12626E-03 .53000E-02 -.26751E-02 .00000E+00 2 .10080E-02 .21350E-02 -.54734E-03 -.68048E-02 -.13612E-01 .00000E+00 1 PLOTS OF PARTICLE POSITIONS AFTER ELEMENT 228(F1 ) DURING TURN 1000 - HORIZONTAL PHASE SPACE .318E-02 + ! ! ! ! ! ! ! ! ! ! ! ! ! + - - 2222222222222 2222222222222222222 2 - 2222222 22222 - 22222 222222 2222 222 222 111111111 2 222 22 111111 11111 222 - 222 111 111 22222 - 222 11 11 2222 22 11 111 2222 222 11 11 222 222 11 11 22222 - 22 1 1 2222 - 22 11 11 2222 22 1 11 2222 22 11 11 2222 2 1 11 222 - 22 1 1 22222 - 22 11 11 2222 22 11 11 222 22 1 1 222 2 11 11 2222 - 22 1 11 2222 - 22 11 11 222 22 11 11 222 2 22 111 11 2222 222 11 111 222 - 2222 111 111 2222 - 2222 11111 111111 222 2222 111111111 2222 2222 22222 2222 2222 2 - 222222 2 222222 - 22222222222222222222 2 222222222 - - -.318E-02 + ! ! ! ! ! ! ! ! ! ! ! ! ! + -.636E-02 .636E-02 1 - VERTICAL PHASE SPACE .959E-02 + ! ! ! ! 2! 22 ! 22!222 !222 2 ! ! ! ! + 2 2 222222222222222 2222 2 22 22 22 222222 222 222222222 2 2 2 222 222 22 2 2222222 - 2222 222 22 2222 - 22222 2 2222 2222 2 2 222 22 2 2 2222 2 222 2 22 - 22 2 111 22222 - 2222 111111111111 2 22 2222 111 11111 2222 2 111 1111 222 2222 111 111 222 - 2222 11 11 222 - 222 11 11 222 22 11 11 22 22 11 11 222 22 1 11 22 - 222 11 11 22 - 2 1 1 22 22 11 11 222 22 11 11 2 22 1 11 22 - 22 1 1 222 - 22 1 1 22 22 11 11 22 222 11 1 222 222 1 1 22 - 2 11 11 22 - 222 1 11 22 222 11 11 222 22 11 11 22 22 11 11 222 - 222 11 111 2222 - 2222 111 111 2 222 111 1111 2222 222 11111 11111 2 22 22 2 11111111111 2222 - 2222 11 1 22 2 - 222 22 222 22 22222 2222 222 2 2 222 2222 2 222222 - 22222 2 2 22222 - 222222 222222222 22222222 2 2 2222 2 2 22 22222 222222 22 2222 22 22222222222222 222 -.959E-02 + ! ! ! ! 22 2 22222 2 2 222 ! ! ! ! + -.106E-02 .106E-02 1 - PHYSICAL PHASE SPACE .106E-02 + ! ! ! ! ! ! ! ! ! ! ! ! ! + - - 22 2 2 2 222 2 2 2222222 2222 2222222 2 222 2 2 2222222222 2222 222222 22 2 222 2 2 222 222 2 222 22 - 2222222 22 2 222 222 2 2 2 2222222 - 2 22222 222 2 2 22 22 22 22 2 22 2 2 2 22 2222 2 2 2 2 2 2 2 22 222 2 22 22 2 21111 111121111111121 1112121111111 2 22 2 2222 111111 1111112111211111 2111 111221 2 22 - 2 2 2 1112111 221 1211 1111 1112111112 222 - 22 2 121 111 11112212112 1111 111 1111122 22 22 2 22 212 1 2 11111 11 11 21 1 1211211111 22 22 2 21121 2112 111 1 121 1 112 12111111 2 2 22 2222 2 1111121 1122 1111212111 1 121 12 222 22 - 2 2 1121211111 11121 2 12 2211 21121 1 2 22 - 22 2 11111 1122 21 112 1 11 1 11 22 1121 22 2 22 22 21111 111 1 11 111 121 21111 112 2 2 222 22 2 2 121 21212 212 2 211 1 111 22 2 22 2 2 11111 111 1122 12 1 1111 1112111 2 22 - 22 2111112121 1 1 1 112 211 112121 2 222 - 2 2211112 1 1222111 111 2 1 2 21 11 2 22 22 2 2 2 11121 1 111 1111 2 111 12 111 2 2 22 22 111 2111 111 22111 11 2 1111121 2 2 22 22 2 211211 21 11 122 121 121 1 1 122 222 - 22 22 121111212 211 1 1211 11121122111 222 222 - 22 2 221 221 11211 1 21212 1112111111 22 22 222 22211 11 1212 11 21 1 11 1 1 2 12 12 2 22 222 1111111 121 1 11211 21 1111 111112 22222 2 22 2 11121112 111 11 111122211 11111 2 22 - 22 2 1112111 11122 111 2111 2121 11111 22222 - 2 2 2 2122111211111112111 12212111111111112 2222 22 22 2111111111211111211111211111 211 1112 222 22222 22 22 2 2 222 2 2 2 2 2 22 22 2 2 2 2 222 222 22 2 22 22 22222 2 - 222222 22 22 22 2 22 22 22 2 2 2222 22 - 222 222 2222 2 2 2 22 2 2 22 2 22222 222222 22222 222 2 2222 222 22222 22222222222222 2 2 2 2 22 2 2 2 - - -.106E-02 + ! ! ! ! ! ! ! ! ! ! ! ! ! + -.636E-02 .636E-02 1 VALUES FOR NOMINAL EPSX = .450E-05 AND FOR NOMINAL EPSY = .225E-05 AVERAGE : BETAX ALPHAX EPSX BETAY ALPHAY EPSY .203E+01 .215E-04 .454E-05 .918E-01 -.736E-04 .271E-05 EPSXMAX EPSXMIN DELEPSX EPSYMAX EPSYMIN DELEPSY .471E-05 .439E-05 .320E-06 .295E-05 .250E-05 .454E-06 DELEPSX/EPSX DELEPSY/EPSY .704E-01 .168E+00 AVENUX SIGNUX AVENUY SIGNUY .713E+00 .285E-02 .317E-01 .492E-02 CROSS SECTIONAL AREAS NOMINAL MAXIMUM MINIMUM MAX/MIN .149E-05 .161E-05 .143E-05 .113E+01 VALUES FOR NOMINAL EPSX = .900E-05 AND FOR NOMINAL EPSY = .450E-05 AVERAGE : BETAX ALPHAX EPSX BETAY ALPHAY EPSY .210E+01 -.241E-04 .930E-05 .729E-01 -.159E-03 .699E-05 EPSXMAX EPSXMIN DELEPSX EPSYMAX EPSYMIN DELEPSY .113E-04 .826E-05 .300E-05 .918E-05 .538E-05 .380E-05 DELEPSX/EPSX DELEPSY/EPSY .323E+00 .543E+00 AVENUX SIGNUX AVENUY SIGNUY .710E+00 .951E-02 .106E+00 .258E+00 CROSS SECTIONAL AREAS NOMINAL MAXIMUM MINIMUM MAX/MIN .298E-05 .398E-05 .261E-05 .153E+01 1 - FAST FOURIER TRANSFORM TUNE .200E+01 + ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! + - - - - - X - X - - X X X X X X XX XX X XXX - XXXXXXXX XXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXY XXXXXXXXXX XXX XXXXXXXXXXXXXXX- Y - - - - - - Y - - Y Y Y YY .000E+00 YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY ! YYYYYYYYY YYYYYYYYYYYYYYYYYYYYYY+ .000E+00 .100E+00 1 1 - FAST FOURIER TRANSFORM TUNE .200E+01 + ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! + - - - - - - X - - XX X X X X X X X -XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX- - - - - - - - - Y Y Y Y Y Y .000E+00 YYYYYYYYYYYYYYYYYYYYYYYYYY YYYYYYYYYYYYYYYYYYYYYYYYYYYYYY ! YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY+ .100E+00 .200E+00 1 1 - FAST FOURIER TRANSFORM TUNE .200E+01 + ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! + - - - - - X - X X - X - X X XX X X X -XX XXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXX - - - - - - - - - Y Y Y YY .000E+00 YYYYYYYYYYYYYYYYYYYYYY YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY YYYYYYYYYYYY+ .200E+00 .300E+00 1 1 - FAST FOURIER TRANSFORM TUNE .200E+01 + ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! + - - - - - - X - - X X X X X -XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX- - - - - - - - - .000E+00 YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY+ .300E+00 .400E+00 1 1 - FAST FOURIER TRANSFORM TUNE .200E+01 + ! ! ! ! ! X ! ! ! ! ! ! ! ! ! ! ! ! ! ! + - - X X - - - X - X X - - X X XX X -XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXX- - - - - - - - - Y Y Y .000E+00 YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY ! YYYYYYY + .400E+00 .500E+00 1 1 x tune peaks y tune peaks tune amplitude phase tune amplitude phase .01318 .103 133.47 .06338 1.062 .00 .01979 .050 50.49 .12687 .122 .00 .06338 .029 56.26 .22318 .117 50.43 .07670 .413 19.98 .08312 .058 -43.62 .14005 .226 111.62 .14661 .175 3.14 .15985 .138 -5.74 .20348 .059 -32.27 .22318 .407 60.63 .28669 .277 -20.61 .29991 .035 -76.02 .35005 .078 38.32 .36324 .243 9.04 .42676 1.026 -95.24 .44643 .043 -14.41 .49010 .670 -27.29 table of resonances 0 nux + 2 nuy : .06342 .06342 1 nux + 1 nuy : .74507 .25493 1 nux - 1 nuy : .68165 .31835 2 nux + 0 nuy : .42671 .42671 0 nux + 3 nuy : .09513 .09513 1 nux + 2 nuy : .77678 .22322 1 nux - 2 nuy : .64993 .35007 2 nux + 1 nuy : .45842 .45842 2 nux - 1 nuy : .39500 .39500 3 nux + 0 nuy : .14007 .14007 0 nux + 4 nuy : .12684 .12684 1 nux + 3 nuy : .80849 .19151 1 nux - 3 nuy : .61822 .38178 2 nux + 2 nuy : .49014 .49014 2 nux - 2 nuy : .36329 .36329 3 nux + 1 nuy : .17178 .17178 3 nux - 1 nuy : .10836 .10836 4 nux + 0 nuy : .85343 .14657 0 nux + 5 nuy : .15855 .15855 1 nux + 4 nuy : .84020 .15980 1 nux - 4 nuy : .58651 .41349 2 nux + 3 nuy : .52185 .47815 2 nux - 3 nuy : .33158 .33158 3 nux + 2 nuy : .20349 .20349 3 nux - 2 nuy : .07665 .07665 4 nux + 1 nuy : .88514 .11486 4 nux - 1 nuy : .82172 .17828 5 nux + 0 nuy : .56678 .43322 1 80 STOP