%!PS-Adobe-3.0 %%BoundingBox: 54 72 558 720 %%Creator: Mozilla (NetScape) HTML->PS %%DocumentData: Clean7Bit %%Orientation: Portrait %%Pages: 4 %%PageOrder: Ascend %%Title: Field Errors %%EndComments %%BeginProlog [ /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /.notdef /space /exclam /quotedbl /numbersign /dollar /percent /ampersand /quoteright /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash /zero /one /two /three /four /five /six /seven /eight /nine /colon /semicolon /less /equal /greater /question /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O /P /Q /R /S /T /U /V /W /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o /p /q /r /s /t /u /v /w /x /y /z 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0000000000000000000000000000000000000000008880fff888888888888888888888888888888 8888888888888888888888888888888888888888888888888888880 grestore 444.7 654.9 moveto 12 f0 ( EOPT: Set) show 0 633.4 moveto 12 f0 (Error Options) show 66.3 633.4 moveto 12 f0 ( ) show 0 624.3 moveto 504 0 rlineto 0 -1.4 rlineto -504 0 rlineto closepath fill 0 606.8 moveto 12 f0 (Field errors can be entered as relative or absolute errors. Different multipole components can be) show 0 593.5 moveto 12 f0 (specified with different kinds of errors \(relative or absolute\). If an attempt is made to assign both a) show 0 580.2 moveto 12 f0 (relative and an absolute error to the same multipole component, the absolute error is used and a warning) show 0 566.9 moveto 12 f0 (is given. Relative errors cannot be assigned to an element of the type ) show 333.2 566.9 moveto 12 f0 (MULTIPOLE) show 401.1 566.9 moveto 12 f0 (. Relations between) show 0 553.6 moveto 12 f0 (absolute and relative field errors are listed below. ) show 0 527 moveto 12 f0 (All field errors are specified as the integrated value int\() show 265.5 527 moveto 12 f2 (K*ds) show 290.1 527 moveto 12 f0 (\) of the ) show 327.7 527 moveto 12 f0 (field components) show 410.6 527 moveto 12 f0 ( along the magnet) show 0 513.7 moveto 12 f0 (axis in m**\(-i\). At present field errors may only affect field components allowed as normal components) show 0 500.4 moveto 12 f0 (in a magnet. This means for example that a dipole may have errors of the type dipole, quadrupole,) show 0 487.1 moveto 12 f0 (sextupole, and octupole; but not of the type decapole. There is no provision to specify a global relative) show 0 473.8 moveto 12 f0 (excitation error affecting all field components in a combined function magnet. Such an error may only) show 0 460.5 moveto 12 f0 (be entered by defining the same relative error for all field components. ) show 0 433.9 moveto 12 f0 (Field errors can be specified for all magnetic elements by one of the statements ) show 0 410 moveto 10 f4 (EFIELD, ORDER=integer,RADIUS=real,RANGE=range,TYPE=name,&) show 0 399.5 moveto 10 f4 ( RADIUS=real,DBL=real,DKL\(i\)=real,& ) show 0 389 moveto 10 f4 ( DBLR=real,DKLR\(i\)=real,BROT=real,ROT\(i\)=real ) show 0 378.5 moveto 10 f4 (EFCOMP, ORDER=integer,RADIUS=real,RANGE=range,TYPE=name,&) show 0 368 moveto 10 f4 ( DBLN=real,DKLN\(i\)=real,DBLS=real,DKLS\(i\)=real,&) show 0 357.5 moveto 10 f4 ( DBLNR=real,DKLNR\(i\)=real,DBLSR=real,DKLSR\(i\)=real) show 0 333.8 moveto 12 f0 (\(See ) show 24.3 333.8 moveto 12 f0 (obsolete element selection) show 150.9 333.8 moveto 12 f0 (\). As from Version 8.18 the ) show 286.2 333.8 moveto 12 f0 (new element selection) show 392.8 333.8 moveto 12 f0 ( is used ) show 0 309.9 moveto 10 f4 (SELECT,ERROR,RANGE=range,CLASS=name,PATTERN=string) show 0 299.4 moveto 10 f4 (EFIELD, ORDER=integer,RADIUS=real,&) show 0 288.9 moveto 10 f4 ( RADIUS=real,DBL=real,DKL\(i\)=real,& ) show 0 278.4 moveto 10 f4 ( DBLR=real,DKLR\(i\)=real,BROT=real,ROT\(i\)=real ) show 0 267.9 moveto 10 f4 (EFCOMP, ORDER=integer,RADIUS=real,&) show 0 257.4 moveto 10 f4 ( DBLN=real,DKLN\(i\)=real,DBLS=real,DKLS\(i\)=real,&) show 0 246.9 moveto 10 f4 ( DBLNR=real,DKLNR\(i\)=real,DBLSR=real,DKLSR\(i\)=real) show 0 223.2 moveto 12 f0 (and elements are now selected by the ) show 181.6 223.2 moveto 12 f0 (SELECT) show 225.6 223.2 moveto 12 f0 ( command. Each new ) show 331.9 223.2 moveto 12 f0 (EFIELD) show 373.2 223.2 moveto 12 f0 ( or ) show 389.1 223.2 moveto 12 f0 (EFCOMP) show 437.1 223.2 moveto 12 f0 ( statement) show 0 209.9 moveto 12 f0 (replaces the field errors for all elements in its range \(s\). Any old field errors present in the range are) show 0 196.6 moveto 12 f0 (discarded or incremented depending on the setting of ) show 257.9 196.6 moveto 12 f0 (EOPT,ADD) show 316.8 196.6 moveto 12 f0 (. EFIELD defines the error in terms of) show 0 183.3 moveto 12 f0 (relative or absolute amplitude and rotation; while EFCOMP defines them in terms of relative or absolute) show 0 170 moveto 12 f0 (components. ) show 0 143.4 moveto 12 f0 (The meaning of the attributes is: ) show 0 116.8 moveto 12 f0 (ORDER: If relative errors are entered for multipoles, this defines the order of the base component to) show 0 103.5 moveto 12 f0 (which the relative errors refer. The default is zero. ) show 0 76.9 moveto 12 f0 (RADIUS: Radius ) show 87.4 76.9 moveto 12 f2 (R) show 94.7 76.9 moveto 12 f0 ( were DKLR\(i\) is specified for 0...i...20 \(default 1 m\). This attribute is required if) show pagelevel restore showpage %%Page: 2 2 %%BeginPageSetup /pagelevel save def 54 0 translate %%EndPageSetup newpath 0 72 moveto 504 0 rlineto 0 648 rlineto -504 0 rlineto closepath clip newpath 0 709.2 moveto 12 f0 (DBLR or any DKLR\(i\) is specified. ) show 0 682.6 moveto 12 f0 (DBL: Absolute error amplitude for the dipole strength \(default: 0 rad\). Its value is int\() show 412.9 682.6 moveto 12 f2 (K) show 421.5 678.2 moveto 10 f0 (0) show 426.5 682.6 moveto 12 f0 (*) show 432.4 682.6 moveto 12 f2 (ds) show 443 682.6 moveto 12 f0 (\) over the) show 0 665.4 moveto 12 f0 (length of the magnet \(see below\). ) show 0 638.8 moveto 12 f0 (DKL\(i\): Absolute error amplitude for the multipole strength with \(2i+2\) poles \(default: 0 m**\(-i\)\). Its) show 0 625.5 moveto 12 f0 (value is int\() show 56.6 625.5 moveto 12 f2 (K) show 65.2 621.1 moveto 10 f2 (i) show 67.9 625.5 moveto 12 f2 (*ds) show 84.5 625.5 moveto 12 f0 (\) over the length of the magnet \(see below\). ) show 0 595 moveto 12 f0 (DBLR: Relative error in the dipole strength \(default: 0, see below\). ) show 0 568.4 moveto 12 f0 (DKLR\(i\): Relative error in multipole strength with \(2i+2\) poles \(default: 0, see below\). This attribute) show 0 555.1 moveto 12 f0 (requires that RADIUS is also given. ) show 0 528.5 moveto 12 f0 (BROT: Rotation angle phi) show 127 524.1 moveto 10 f0 (0) show 132 528.5 moveto 12 f0 ( for the dipole error \(default: 0, see ) show 302.9 528.5 moveto 12 f0 (Figure) show 334.2 528.5 moveto 12 f0 (\). ) show 0 498 moveto 12 f0 (ROT\(i\): Rotation angle phi) show 130.3 493.6 moveto 10 f2 (i) show 133 498 moveto 12 f0 ( for the multipole with \(2i+2\) poles, for 1...i...20 \(default: 0 rad, see ) show 460 498 moveto 12 f0 (Figure) show 491.3 498 moveto 12 f0 (\). ) show 0 467.5 moveto 12 f0 (DBLN: Absolute error for the horizontal dipole strength \(default: 0\). ) show 0 440.9 moveto 12 f0 (DKLN\(i\): Absolute error for the normal multipole strength with \(2i+2\) poles \(default: 0 m**\(-i\)\). ) show 0 414.3 moveto 12 f0 (DBLS: Absolute error for the vertical dipole strength \(default: 0\). ) show 0 387.7 moveto 12 f0 (DKLS\(i\): Absolute error in skewed multipole strength with \(2i+2\) poles \(default: 0 m**\(-i\)\). ) show 0 361.1 moveto 12 f0 (DBLN: Relative error for the horizontal dipole strength \(default: 0\). ) show 0 334.5 moveto 12 f0 (DKLN\(i\): Relative error for the normal multipole strength with \(2i+2\) poles \(default: 0\). ) show 0 307.9 moveto 12 f0 (DBLS: Relative error for the vertical dipole strength \(default: 0\). ) show 0 281.3 moveto 12 f0 (DKLS\(i\): Relative error in skewed multipole strength with \(2i+2\) poles \(default: 0\). ) show 0 254.7 moveto 12 f0 (The dimensions for all vectors are preset to 20 in the command dictionary, but this can be changed) show 0 241.4 moveto 12 f0 (easily. ) show 0 214.8 moveto 12 f0 (Examples: ) show 0 190.9 moveto 10 f4 (EFIELD,TYPE=MQ,DBL=5.0E-4,DKL\(3\)=0.0025*RANF\(\),DKL\(5\)=0.0092*GAUSS\(\)) show 0 180.4 moveto 10 f4 (EFIELD,TYPE=MQ,DBLN=5.0E-4,DKLN\(3\)=0.0025*RANF\(\),DKLN\(5\)=0.0092*GAUSS\(\)) show 0 156.7 moveto 12 f0 (See also: ) show 45.9 156.7 moveto 12 f0 (Random values) show 120.2 156.7 moveto 12 f0 (. ) show 0 124 moveto 18 f1 (Field Errors in Bending Magnets) show 0 96.1 moveto 12 f0 (Only the normal dipole, quadrupole, and sextupole components of the error field are considered in a) show 0 82.8 moveto 12 f0 (bending magnet. They are rotated together with the main field. The error field components have the) show pagelevel restore showpage %%Page: 3 3 %%BeginPageSetup /pagelevel save def 54 0 translate %%EndPageSetup newpath 0 72 moveto 504 0 rlineto 0 648 rlineto -504 0 rlineto closepath clip newpath 0 709.2 moveto 12 f0 (values: ) show gsave 2.8 setlinewidth 0 693.3 moveto 562.8 0 rlineto 0 -157.7 rlineto -562.8 0 rlineto closepath stroke grestore gsave 0.7 setlinewidth 4.2 689.1 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 676.5 moveto 12 f1 (component) show gsave 0.7 setlinewidth 128.4 689.1 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 676.5 moveto 12 f1 (EFCOMP) show gsave 0.7 setlinewidth 252.6 689.1 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 254 676.5 moveto 12 f1 (EFIELD \(absolute\)) show gsave 0.7 setlinewidth 376.8 689.1 moveto 181.8 0 rlineto 0 -16.6 rlineto -181.8 0 rlineto closepath stroke grestore 378.2 676.5 moveto 12 f1 (EFIELD \(relative\)) show gsave 0.7 setlinewidth 4.2 671.1 moveto 122.8 0 rlineto 0 -20 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 659 moveto 12 f0 (delta\() show 32.9 659 moveto 12 f2 (K) show 41.5 654.6 moveto 10 f2 (0) show 46.5 659 moveto 12 f2 ( L) show 56.2 659 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 671.1 moveto 122.8 0 rlineto 0 -20 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 657.1 moveto 12 f0 (DBLN =) show gsave 0.7 setlinewidth 252.6 671.1 moveto 122.8 0 rlineto 0 -20 rlineto -122.8 0 rlineto closepath stroke grestore 254 657.1 moveto 12 f0 (DBL*cos\(BROT\) =) show gsave 0.7 setlinewidth 376.8 671.1 moveto 181.8 0 rlineto 0 -20 rlineto -181.8 0 rlineto closepath stroke grestore 378.2 659 moveto 12 f2 (K) show 386.8 654.6 moveto 10 f2 (0) show 391.8 659 moveto 12 f2 ( L) show 401.5 659 moveto 12 f0 (*DBLR*cos\(BROT\)) show gsave 0.7 setlinewidth 4.2 649.7 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 629.8 moveto 12 f0 (delta\() show 32.9 629.8 moveto 12 f2 (K) show 41.5 625.4 moveto 10 f2 (1) show 46.5 629.8 moveto 12 f2 ( L) show 56.2 629.8 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 649.7 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 627.8 moveto 12 f0 (DKLN\(1\) =) show gsave 0.7 setlinewidth 252.6 649.7 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 254 634.5 moveto 12 f0 (DKL\(1\)*cos\(2*ROT\(1\)\)) show 254 621.2 moveto 12 f0 (=) show gsave 0.7 setlinewidth 376.8 649.7 moveto 181.8 0 rlineto 0 -35.7 rlineto -181.8 0 rlineto closepath stroke grestore 378.2 637.8 moveto 12 f2 (K) show 386.8 633.4 moveto 10 f2 (0) show 391.8 637.8 moveto 12 f2 () show 378.2 618 moveto 12 f2 (L) show 384.9 618 moveto 12 f0 (*DKLR\(1\)*cos\(2*ROT\(1\)\)*\(1!/) show gsave 0.7 setlinewidth 4.2 612.6 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 592.7 moveto 12 f0 (delta\() show 32.9 592.7 moveto 12 f2 (K) show 41.5 588.3 moveto 10 f2 (2) show 46.5 592.7 moveto 12 f2 ( L) show 56.2 592.7 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 612.6 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 590.7 moveto 12 f0 (DKLN\(2\) =) show gsave 0.7 setlinewidth 252.6 612.6 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 254 597.4 moveto 12 f0 (DKL\(2\)*cos\(3*ROT\(2\)\)) show 254 584.1 moveto 12 f0 (=) show gsave 0.7 setlinewidth 376.8 612.6 moveto 181.8 0 rlineto 0 -35.7 rlineto -181.8 0 rlineto closepath stroke grestore 378.2 600.7 moveto 12 f2 (K) show 386.8 596.3 moveto 10 f2 (0) show 391.8 600.7 moveto 12 f2 () show 378.2 580.9 moveto 12 f2 (L) show 384.9 580.9 moveto 12 f0 (*DKLR\(2\)*cos\(3*ROT\(2\)\)*\(2!/) show gsave 0.7 setlinewidth 4.2 575.5 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 555.6 moveto 12 f0 (delta\() show 32.9 555.6 moveto 12 f2 (K) show 41.5 551.2 moveto 10 f2 (3) show 46.5 555.6 moveto 12 f2 ( L) show 56.2 555.6 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 575.5 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 553.6 moveto 12 f0 (DKLN\(3\) =) show gsave 0.7 setlinewidth 252.6 575.5 moveto 122.8 0 rlineto 0 -35.7 rlineto -122.8 0 rlineto closepath stroke grestore 254 560.3 moveto 12 f0 (DKL\(3\)*cos\(4*ROT\(3\)\)) show 254 547 moveto 12 f0 (=) show gsave 0.7 setlinewidth 376.8 575.5 moveto 181.8 0 rlineto 0 -35.7 rlineto -181.8 0 rlineto closepath stroke grestore 378.2 563.6 moveto 12 f2 (K) show 386.8 559.2 moveto 10 f2 (0) show 391.8 563.6 moveto 12 f2 () show 378.2 543.8 moveto 12 f2 (L) show 384.9 543.8 moveto 12 f0 (*DKLR\(3\)*cos\(4*ROT\(3\)\)*\(3!/) show 0 511.6 moveto 12 f0 (All other error field components, including skew components, are ignored. ) show 0 478.9 moveto 18 f1 (Field Errors in Quadrupoles) show 0 451 moveto 12 f0 (Only the normal quadrupole component of the error field, that is the excitation error, is considered. It is) show 0 437.7 moveto 12 f0 (rotated together with the main field. The error field component has the value: ) show gsave 2.8 setlinewidth 0 421.8 moveto 523.1 0 rlineto 0 -63.6 rlineto -523.1 0 rlineto closepath stroke grestore gsave 0.7 setlinewidth 4.2 417.6 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 405 moveto 12 f1 (component) show gsave 0.7 setlinewidth 128.4 417.6 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 405 moveto 12 f1 (EFCOMP) show gsave 0.7 setlinewidth 252.6 417.6 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 254 405 moveto 12 f1 (EFIELD \(absolute\)) show gsave 0.7 setlinewidth 376.8 417.6 moveto 142.1 0 rlineto 0 -16.6 rlineto -142.1 0 rlineto closepath stroke grestore 378.2 405 moveto 12 f1 (EFIELD \(relative\)) show gsave 0.7 setlinewidth 4.2 399.6 moveto 122.8 0 rlineto 0 -37.2 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 378.9 moveto 12 f0 (delta\() show 32.9 378.9 moveto 12 f2 (K) show 41.5 374.5 moveto 10 f0 (1) show 46.5 378.9 moveto 12 f0 ( ) show 49.4 378.9 moveto 12 f2 (L) show 56.1 378.9 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 399.6 moveto 122.8 0 rlineto 0 -37.2 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 377 moveto 12 f0 (DKLN\(1\) =) show gsave 0.7 setlinewidth 252.6 399.6 moveto 122.8 0 rlineto 0 -37.2 rlineto -122.8 0 rlineto closepath stroke grestore 254 383.6 moveto 12 f0 (DKL\(1\)*cos\(2*ROT\(1\)\)) show 254 370.3 moveto 12 f0 (=) show gsave 0.7 setlinewidth 376.8 399.6 moveto 142.1 0 rlineto 0 -37.2 rlineto -142.1 0 rlineto closepath stroke grestore 378.2 387.5 moveto 12 f2 (K) show 386.8 383.1 moveto 10 f0 (1) show 391.8 387.5 moveto 12 f0 () show 378.2 370.3 moveto 12 f2 (L) show 384.9 370.3 moveto 12 f0 (*DKLR\(1\)*cos\(2*ROT\(1\)\)) show 0 334.2 moveto 12 f0 (Any other error field components, including skew components, are ignored. ) show 0 301.5 moveto 18 f1 (Field Errors in Sextupoles) show 0 273.6 moveto 12 f0 (Only the normal sextupole component of the error field, that is the excitation error, is considered. It is) show 0 260.3 moveto 12 f0 (rotated together with the main field. The error field component has the value: ) show gsave 2.8 setlinewidth 0 244.4 moveto 523.1 0 rlineto 0 -59.5 rlineto -523.1 0 rlineto closepath stroke grestore gsave 0.7 setlinewidth 4.2 240.2 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 227.6 moveto 12 f1 (component) show gsave 0.7 setlinewidth 128.4 240.2 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 227.6 moveto 12 f1 (EFCOMP) show gsave 0.7 setlinewidth 252.6 240.2 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 254 227.6 moveto 12 f1 (EFIELD \(absolute\)) show gsave 0.7 setlinewidth 376.8 240.2 moveto 142.1 0 rlineto 0 -16.6 rlineto -142.1 0 rlineto closepath stroke grestore 378.2 227.6 moveto 12 f1 (EFIELD \(relative\)) show gsave 0.7 setlinewidth 4.2 222.2 moveto 122.8 0 rlineto 0 -33.1 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 203.6 moveto 12 f0 (delta\() show 32.9 203.6 moveto 12 f2 (K) show 41.5 199.2 moveto 10 f2 (2) show 46.5 203.6 moveto 12 f2 ( L) show 56.2 203.6 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 222.2 moveto 122.8 0 rlineto 0 -33.1 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 201.6 moveto 12 f0 (DKLN\(2\) =) show gsave 0.7 setlinewidth 252.6 222.2 moveto 122.8 0 rlineto 0 -33.1 rlineto -122.8 0 rlineto closepath stroke grestore 254 208.3 moveto 12 f0 (DKL\(2\)*cos\(3*ROT\(2\)\)) show 254 195 moveto 12 f0 (=) show gsave 0.7 setlinewidth 376.8 222.2 moveto 142.1 0 rlineto 0 -33.1 rlineto -142.1 0 rlineto closepath stroke grestore 378.2 210.3 moveto 12 f2 (K) show 386.8 205.9 moveto 10 f2 (2) show 391.8 210.3 moveto 12 f2 () show 378.2 193.1 moveto 12 f2 (L) show 384.9 193.1 moveto 12 f0 (*DKLR\(2\)*cos\(3*ROT\(2\)\)) show 0 160.9 moveto 12 f0 (Any other error field components, including skew components, are ignored. ) show 0 128.2 moveto 18 f1 (Field Errors in Multipoles) show 0 100.3 moveto 12 f0 (Error fields and main field are rotated separately and then added. The error field components can be) show 0 87 moveto 12 f0 (absolute or relative values. Relative values are referred to the absolute component of order ORDER = ) show 490.9 87 moveto 12 f2 (n) show pagelevel restore showpage %%Page: 4 4 %%BeginPageSetup /pagelevel save def 54 0 translate %%EndPageSetup newpath 0 72 moveto 504 0 rlineto 0 648 rlineto -504 0 rlineto closepath clip newpath 0 709.2 moveto 12 f0 (\(default = 0\), taken at the radius RADIUS ) show 204.4 709.2 moveto 12 f2 (R) show 211.7 709.2 moveto 12 f0 ( \(default = 1\). They are computed as follows for all error) show 0 695.9 moveto 12 f0 (components ) show 60.9 695.9 moveto 12 f2 (k) show 66.4 695.9 moveto 12 f0 ( entered: ) show gsave 2.8 setlinewidth 0 680 moveto 583.1 0 rlineto 0 -134 rlineto -583.1 0 rlineto closepath stroke grestore gsave 0.7 setlinewidth 4.2 675.8 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 663.2 moveto 12 f1 (component) show gsave 0.7 setlinewidth 128.4 675.8 moveto 122.8 0 rlineto 0 -16.6 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 663.2 moveto 12 f1 (EFCOMP) show gsave 0.7 setlinewidth 252.6 675.8 moveto 133.5 0 rlineto 0 -16.6 rlineto -133.5 0 rlineto closepath stroke grestore 254 663.2 moveto 12 f1 (EFIELD \(absolute\)) show gsave 0.7 setlinewidth 387.5 675.8 moveto 191.4 0 rlineto 0 -16.6 rlineto -191.4 0 rlineto closepath stroke grestore 388.9 663.2 moveto 12 f1 (EFIELD \(relative\)) show gsave 0.7 setlinewidth 4.2 657.8 moveto 122.8 0 rlineto 0 -53.1 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 629.2 moveto 12 f0 (delta\() show 32.9 629.2 moveto 12 f2 (K) show 41.5 624.8 moveto 10 f2 (k) show 46.1 629.2 moveto 12 f2 ( L) show 55.8 629.2 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 657.8 moveto 122.8 0 rlineto 0 -53.1 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 627.2 moveto 12 f0 (KLN\(k\) =) show gsave 0.7 setlinewidth 252.6 657.8 moveto 133.5 0 rlineto 0 -53.1 rlineto -133.5 0 rlineto closepath stroke grestore 254 633.9 moveto 12 f0 (KL\(k\)*cos\(\(k+1\)*ROT\(k\)\)) show 254 620.6 moveto 12 f0 (=) show gsave 0.7 setlinewidth 387.5 657.8 moveto 191.4 0 rlineto 0 -53.1 rlineto -191.4 0 rlineto closepath stroke grestore 388.9 645.7 moveto 12 f2 (K) show 397.5 641.3 moveto 10 f2 (n) show 402.5 645.7 moveto 12 f2 () show 388.9 628.5 moveto 12 f2 (L) show 395.6 628.5 moveto 12 f0 (*DKLR\(k\)*cos\(\(k+1\)*ROT\(k\)\)*) show 389 608.7 moveto 12 f2 (R) show 396.3 613.1 moveto 10 f0 (n-k) show gsave 0.7 setlinewidth 4.2 603.3 moveto 122.8 0 rlineto 0 -53.1 rlineto -122.8 0 rlineto closepath stroke grestore 5.6 574.7 moveto 12 f0 (delta\() show 32.9 574.7 moveto 12 f2 (K) show 41.5 570.3 moveto 10 f2 (ks) show 49.8 574.7 moveto 12 f2 ( L) show 59.5 574.7 moveto 12 f0 (\) =) show gsave 0.7 setlinewidth 128.4 603.3 moveto 122.8 0 rlineto 0 -53.1 rlineto -122.8 0 rlineto closepath stroke grestore 129.8 572.7 moveto 12 f0 (KLS\(k\) =) show gsave 0.7 setlinewidth 252.6 603.3 moveto 133.5 0 rlineto 0 -53.1 rlineto -133.5 0 rlineto closepath stroke grestore 254 579.4 moveto 12 f0 (KL\(k\)*sin\(\(k+1\)*ROT\(k\)\)) show 254 566.1 moveto 12 f0 (=) show gsave 0.7 setlinewidth 387.5 603.3 moveto 191.4 0 rlineto 0 -53.1 rlineto -191.4 0 rlineto closepath stroke grestore 388.9 591.2 moveto 12 f2 (K) show 397.5 586.8 moveto 10 f2 (n) show 402.5 591.2 moveto 12 f2 () show 388.9 574 moveto 12 f2 (L) show 395.6 574 moveto 12 f0 (*DKLR\(k\)*sin\(\(k+1\)*ROT\(k\)\)*) show 389 554.2 moveto 12 f2 (R) show 396.3 558.6 moveto 10 f0 (n-k) show 0 522 moveto 12 f0 (The first formula gives the normal components, and the second formula the skew components. ) show 0 489.3 moveto 18 f1 (Field Errors in Orbit Correctors) show 0 461.4 moveto 12 f0 (The dipole error field is added to the main field. A rotation BROT must not be used when closed orbit) show 0 448.1 moveto 12 f0 (corrections are to be computed. The error field components can be relative or absolute, and are defined) show 0 434.8 moveto 12 f0 (as for dipoles. ) show 0 425.7 moveto 504 0 rlineto 0 -1.4 rlineto -504 0 rlineto closepath fill gsave /rowdata 44 string def 1.4 395.1 translate 20.3 22.4 scale 29 32 4 [29 0 0 -32 0 32] smartimage12rgb 888888888888888888888888888888888888888888888888888888888888888fffffffffffffff fffffffff0888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff888888fff ffffffffffffffffff0888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff 888ccc888ffffffffffffffffff0888ffffffcccccccccccccccccccccccccccccccccccccccccc ccccccccc888fffccc888fffffffffffffff0888ffffffcccccccccccccccccccccccc080080080 080080cccccccccccc888ffffffccc888ffffffffffff0888ffffffccccccccccccccccccccc080 080080080080080080ccccccccc888fffffffffccc888fffffffff0888ffffffccccccccccccccc ccc080080080080080080080080080cccccc888ffffffffffffccc888ffffff0888ffffffcccccc 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fffffffffffffffffffff0008880888ffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffff0008880000000000000000000000000000000000000000000 0000000000000000000000000000000000000000008880fff888888888888888888888888888888 8888888888888888888888888888888888888888888888888888880 grestore 78.9 408.1 moveto 12 f0 ( EALIGN: Define Misalignments) show 239.8 408.1 moveto 12 f0 ( ) show gsave /rowdata 44 string def 244.1 395.1 translate 20.3 22.4 scale 29 32 4 [29 0 0 -32 0 32] smartimage12rgb 888888888888888888888888888888888888888888888888888888888888888fffffffffffffff fffffffff0888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff888888fff ffffffffffffffffff0888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff 888ccc888ffffffffffffffffff0888ffffffcccccccccccccccccccccccccccccccccccccccccc ccccccccc888fffccc888fffffffffffffff0888ffffffcccccccccccccccccccccccc080080080 080080cccccccccccc888ffffffccc888ffffffffffff0888ffffffccccccccccccccccccccc080 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fff0008880888ffffffcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc ccccccffffff0008880888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff fffffffffffffffffffff0008880888ffffffffffffffffffffffffffffffffffffffffffffffff ffffffffffffffffffffffffffffff0008880000000000000000000000000000000000000000000 0000000000000000000000000000000000000000008880fff888888888888888888888888888888 8888888888888888888888888888888888888888888888888888880 grestore 294.9 408.1 moveto 12 f0 ( Error Definitions) show 380.2 408.1 moveto 12 f0 ( ) show gsave /rowdata 44 string def 384.5 395.1 translate 20.3 22.4 scale 29 32 4 [29 0 0 -32 0 32] smartimage12rgb 888888888888888888888888888888888888888888888888888888888888888fffffffffffffff fffffffff0888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff888888fff ffffffffffffffffff0888fffffffffffffffffffffffffffffffffffffffffffffffffffffffff 888ccc888ffffffffffffffffff0888ffffffcccccccccccccccccccccccccccccccccccccccccc 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