source: PSPA/madxPSPA/doc/usrguide/Introduction/sectormap.html @ 430

Last change on this file since 430 was 430, checked in by touze, 11 years ago

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1<head>
2<title>SELECT</title>
3<!-- Changed by: Hans Grote, 11-Sep-2002 -->
4<link rel="stylesheet" type="text/css" href="madxdoc.css" />
5</head>
6
7<body bgcolor="#ffffff">
8
9<center>
10EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH
11<IMG SRC="http://cern.ch/madx/icons/mx7_25.gif" align=right>
12<h2>Sectormap output</h2>
13</center>
14
15<!--Begin New version: Jean-Luc Nougaret, 18-Dec-2008 -->
16
17<p>
18The flag "sectormap" on the Twiss command (together with an element
19selection via select,flag=sectormap,...) causes a file "sectormap" to
20be written.
21</p>
22
23<p>For each user-selected element, it contains the user-selected coefficients of the kick vector <code>K</code> (6 values), of the first-order map <code>R</code> (6 x 6 values) and of the second-order map <code>T</code> (6 x 6 x 6 values)</p>
24
25<p>
26The sector file is the output of a standard TFS table, which means that the set of columns of interest may be selected through a MAD-X command such as the following:
27</p>
28
29<p>
30<table bgcolor='#EEEEEE' width="75%">
31<tr><td><code>select,flag=my_sect_table,column=name,pos,k1,r11,r66,t111;</code></tr></td>
32</table>
33</p>
34
35Each line of the sectormap file contains for each selected element, the set of chosen K,R,T matrix coefficients:<br><br>
36
37<table bgcolor='#EEEEEE' width="75%">
38<tr><td>@ NAME</td><td>             %13s</td><td> "MY_SECT_TABLE"</td></tr>
39<tr><td>@ TYPE</td><td>             %09s</td><td> "SECTORMAP"</td></tr>
40<tr><td>@ TITLE</td><td>            %08s</td><td> "no-title"</td></tr>
41<tr><td>@ ORIGIN</td> <td>          %19s</td><td> "MAD-X 3.04.62 Linux"</td></tr>
42<tr><td>@ DATE</td><td>             %08s</td><td> "18/12/08"</td></tr>
43<tr><td>@ TIME</td><td>             %08s</td><td> "10.33.58"</td></tr>
44</table>
45<table bgcolor='#EEEEEE' width="75%">
46<tr><td>* NAME</td><td>POS</td><td>K1</td><td>R11</td><td>R66</td><td>T111</td></tr> 
47<tr><td>$ %s</td><td>%le</td><td>%le</td><td>%le </td><td>%le</td><td>%le</td></tr>
48<tr><td> "FIVECELL$START" </td><td>0</td><td>0</td><td>1</td><td>1</td><td>0</td></tr>
49<tr><td> "SEQSTART" </td><td>0</td><td> 0 </td><td> 1</td><td> 1 </td><td> 0</td></tr>
50<tr><td> "QF.1" </td><td>3.1</td><td>-1.305314637e-05</td><td>1.042224745</td><td>1</td><td>0</td></tr>
51<tr><td> "DRIFT_0"</td><td>3.265</td><td>7.451656548e-21</td><td>1</td><td>1</td><td>0</td></tr>
52<tr><td> "MSCBH"</td><td>4.365</td><td>-1.686090613e-15</td><td>0.9999972755</td><td>1</td><td>0.006004411526</td></tr>
53<tr><td> "CBH.1"</td><td>4.365</td><td>0</td><td>1</td><td>1</td><td>0</td></tr>
54<tr><td> "DRIFT_1"</td><td>5.519992305</td><td>-6.675347543e-21</td><td>1</td><td>1</td><td>0</td></tr>
55<tr><td> "MB"</td><td>19.72000769</td><td>2.566889547e-18</td><td>1.000000091</td><td>1</td><td>-4.135903063e-25</td></tr>
56<tr><td> "DRIFT_2"</td><td>21.17999231</td><td>-1.757758802e-20</td><td>1</td><td>1</td><td>0</td></tr>
57<tr><td> "MB"</td><td>35.38000769</td><td>2.822705549e-18</td><td>1.000000091</td><td>1</td><td>-4.135903063e-25</td></tr>
58<tr><td> "DRIFT_2"</td><td>36.83999231</td><td>2.480880093e-20</td><td>1</td><td>1</td><td>0</td></tr>
59<tr><td> "MB"</td><td>51.04000769</td><td>3.006954115e-18</td><td>1.000000091</td><td>1</td><td>-4.135903063e-25</td></tr>
60<tr><td> "DRIFT_3"</td><td>52.21</td><td>-4.886652187e-20</td><td>1</td><td>1</td><td>0</td></tr>
61<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>
62<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>
63<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>
64</table>
65
66<br>
67Of course, the <code>select</code> statement can be combined with additional options to filter-out the list of elements, such as in the following statement, which for instance only retains drift-type elements:
68<p>
69<table bgcolor='#EEEEEE' width="75%">
70<tr><td><code>select,flag=my_sect_table,class=drift,column=name,pos,k1,r11,r66,t111;</code></tr></td>
71</table>
72</p>
73
74<p>
75<code>K</code> coefficients range:
76<code>K1</code>... <code>K6</code>
77</p>
78
79<p>
80<code>R</code> coefficients range:
81<table>
82<tr><td><code>R11</code></td><td>...</td><td><code>R61</code></td></tr>
83<tr><td><code>R12</code></td><td>...</td><td><code>R62</code></td></tr>
84<tr><td>...</td><td>...</td><td>...</td></tr>
85<tr><td><code>R61</code></td><td>...</td><td><code>R66</code></td></tr>
86</table>
87</p>
88
89<p>
90<code>T</code> coefficients range:
91<table>
92<tr><td><code>T111</code></td><td>...</td><td><code>T611</code></td></tr>
93<tr><td><code>T121</code></td><td>...</td><td><code>T621</code></td></tr>
94<tr><td>...</td><td>...</td><td>...</td></tr>
95<tr><td><code>T161</code></td><td>...</td><td><code>T661</code></td></tr>
96<tr><td><code>T112</code></td><td>...</td><td><code>T612</code></td></tr>
97<tr><td>...</td><td>...</td><td>...</td></tr>
98<tr><td><code>T166</code></td><td>...</td><td><code>T666</code></td></tr>
99</table>
100</p>
101
102<p>
103In the above notation, <code>Rij</code> stands for "effect on the <code>i</code>-th coordinate of the <code>j</code>-th coordinate in phase-space", whereas <code>Tijk</code> stands for "combined effect on the <code>i</code>-th coordinate of both the <code>j</code>-th and <code>k</code>-th coordinates in phase-space" along the lattice.
104</p>
105
106<!--End New Version -->
107
108<!-- Commented by jluc, on 18 December 2008
109The flag "sectormap" on the Twiss command (together with an element
110selection via select,flag=sectormap,...) causes a file "sectormap" to
111be written. This is a fixed format file; per selected element it
112contains:
113
114<pre>
115end_position   element_name
116kick vector (6 values)
117first order map (6 lines with 6 values each), column-wise
118second order map (36 lines with 6 columns each, column-column-wise)
119</pre>
120
121Or more explicitly:
122
123<pre>
124The first line is:
125K[1] ... K[6]
126
127Then:
128R[1,1] ... R[6,1]
129R[1,2] ... R[6,2]
130...
131R[1,6] ... R[6,6]
132
133
134Then:
135T[1,1,1] ... T[6,1,1]
136T[1,2,1] ... T[6,2,1]
137...
138T[1,6,1] ... T[6,6,1]
139T[1,1,2] ... T[6,1,2]
140...
141T[1,6,6] ... T[6,6,6]
142</pre>
143-->
144
145
146The maps are the accumulated maps between the selected elements. They contain
147both the alignment, and field errors present.
148Together with the starting value of the closed orbit (which can be obtained
149from the standard twiss file) this allows the user to track particles over
150larger sectors, rather than element per element. A typical usage therefore
151lies in the interface to other programs, such as TRAIN.
152<address>
153<a href="http://www.cern.ch/Hans.Grote/hansg_sign.html">hansg</a>,
154May 8, 2001
155</address>
156</body>
157
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