ZGOUBI USERS' GUIDE - HEP

238 2 TRANSFER MATRICES ALONG A TWO-STAGE SEPARATION KAON BEAM LINE’DRIFT’ 4225.00000’QUADRUPO’ Q10 43035.56 12.7 11.9730. 25.44 0.2490 5.3630 -2.4100 0.9870 0. 0.30. 25.44 0.2490 5.3630 -2.4100 0.9870 0. 0.1.11 0. 0. 0.’DRIFT’ 44200.0’MATRIX’ TRANSFER COEFFICIENTS 452 0 AT THE FINAL FOCUS’END’ 46Excerpt of zgoubi output : first and second order transfer matrices and higher order coefficients at the end of theline.FIRST ORDER COEFFICIENTS ( MKSA ):3.60453 -4.453265E-02 -3.049728E-04 -1.165832E-04 0.00000 -5.229783E-02-2.05368 0.270335 4.700517E-05 1.763910E-05 0.00000 -9.561918E-022.240965E-05 -8.687757E-07 -3.60817 -1.731805E-02 0.00000 -7.815367E-021.185290E-05 -4.356398E-07 -2.05043 -0.286991 0.00000 -3.983392E-02-0.387557 2.313953E-02 -2.264218E-05 -8.015244E-06 1.00000 0.3749170.00000 0.00000 0.00000 0.00000 0.00000 1.00000DetY-1 = -0.1170246601, DetZ-1 = 0.0000034613R12=0 at 0.1647 m, R34=0 at -0.6034E-01 mFirst order sympletic conditions (expected values = 0) :-0.1170 3.4614E-06 -1.8207E-04 3.0973E-05 4.6007E-04 -8.0561E-05SECOND ORDER COEFFICIENTS ( MKSA ):1 11 7.34 1 21 -1.78 1 31 1.399E-02 1 41 1.456E-02 1 51 0.00 1 61 36.31 12 -1.78 1 22 -530. 1 32 -1.308E-03 1 42 -1.743E-03 1 52 0.00 1 62 12.31 13 1.399E-02 1 23 -1.308E-03 1 33 -0.611 1 43 -0.522 1 53 0.00 1 63 -2.771E-021 14 1.456E-02 1 24 -1.743E-03 1 34 -0.522 1 44 0.163 1 54 0.00 1 64 -2.211E-021 15 0.00 1 25 0.00 1 35 0.00 1 45 0.00 1 55 0.00 1 65 0.001 16 36.3 1 26 12.3 1 36 -2.771E-02 1 46 -2.211E-02 1 56 0.00 1 66 2.882 11 -303. 2 21 3.81 2 31 3.684E-02 2 41 3.581E-02 2 51 0.00 2 61 144.2 12 3.81 2 22 -62.9 2 32 -5.821E-04 2 42 -1.638E-04 2 52 0.00 2 62 -0.7592 13 3.684E-02 2 23 -5.821E-04 2 33 1.05 2 43 1.94 2 53 0.00 2 63 -1.031E-022 14 3.581E-02 2 24 -1.638E-04 2 34 1.94 2 44 6.70 2 54 0.00 2 64 -4.285E-022 15 0.00 2 25 0.00 2 35 0.00 2 45 0.00 2 55 0.00 2 65 0.002 16 144. 2 26 -0.759 2 36 -1.031E-02 2 46 -4.285E-02 2 56 0.00 2 66 -65.33 11 -0.145 3 21 2.158E-02 3 31 20.6 3 41 86.0 3 51 0.00 3 61 -0.2013 12 2.158E-02 3 22 64.6 3 32 1.61 3 42 0.496 3 52 0.00 3 62 8.793E-023 13 20.6 3 23 1.61 3 33 0.710 3 43 0.128 3 53 0.00 3 63 39.13 14 86.0 3 24 0.496 3 34 0.128 3 44 64.8 3 54 0.00 3 64 7.173 15 0.00 3 25 0.00 3 35 0.00 3 45 0.00 3 55 0.00 3 65 0.003 16 -0.201 3 26 8.793E-02 3 36 39.1 3 46 7.17 3 56 0.00 3 66 1.464 11 -8.254E-02 4 21 1.146E-02 4 31 10.7 4 41 47.3 4 51 0.00 4 61 -0.1274 12 1.146E-02 4 22 33.0 4 32 0.787 4 42 0.157 4 52 0.00 4 62 3.566E-024 13 10.7 4 23 0.787 4 33 0.365 4 43 6.774E-02 4 53 0.00 4 63 17.54 14 47.3 4 24 0.157 4 34 6.774E-02 4 44 33.1 4 54 0.00 4 64 1.054 15 0.00 4 25 0.00 4 35 0.00 4 45 0.00 4 55 0.00 4 65 0.004 16 -0.127 4 26 3.566E-02 4 36 17.5 4 46 1.05 4 56 0.00 4 66 0.7155 11 568. 5 21 -7.67 5 31 -5.970E-02 5 41 -5.682E-02 5 51 0.00 5 61 -251.5 12 -7.67 5 22 225. 5 32 1.283E-03 5 42 6.947E-04 5 52 0.00 5 62 2.775 13 -5.970E-02 5 23 1.283E-03 5 33 19.2 5 43 10.2 5 53 0.00 5 63 0.2155 14 -5.682E-02 5 24 6.947E-04 5 34 10.2 5 44 1.59 5 54 0.00 5 64 0.1295 15 0.00 5 25 0.00 5 35 0.00 5 45 0.00 5 55 0.00 5 65 0.005 16 -251. 5 26 2.77 5 36 0.215 5 46 0.129 5 56 0.00 5 66 112.HIGHER ORDER COEFFICIENTS ( MKSA ):Y/Y3 5784.8Y/T39.40037E+05Y/Z3 0.70673Y/P3 0.42104T/Y3 -18607.T/T31.04607E+05T/Z3 -0.10234T/P35.25793E-02Z/Y3 32.161Z/T3 18.425Z/Z3 -872.50Z/P3 -785.20P/Y3 15.460P/T3 7.5264P/Z3 -409.98P/P3 -389.15