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15 | <div><a href="../../index.html">Home</a> > <a href="#">applications</a> > <a href="index.html">loco</a> > locoresponsematrix_old.m</div> |
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17 | <!--<table width="100%"><tr><td align="left"><a href="../../index.html"><img alt="<" border="0" src="../../left.png"> Master index</a></td> |
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18 | <td align="right"><a href="index.html">Index for applications/loco <img alt=">" border="0" src="../../right.png"></a></td></tr></table>--> |
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19 | |
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20 | <h1>locoresponsematrix_old |
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21 | </h1> |
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22 | |
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23 | <h2><a name="_name"></a>PURPOSE <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2> |
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24 | <div class="box"><strong>LOCORESPONSEMATRIX - Calculate the BPM response matrix and dispersion function</strong></div> |
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25 | |
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26 | <h2><a name="_synopsis"></a>SYNOPSIS <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2> |
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27 | <div class="box"><strong>function RM = locoresponsematrix(RINGData, BPMData, CMData, varargin); </strong></div> |
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28 | |
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29 | <h2><a name="_description"></a>DESCRIPTION <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2> |
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30 | <div class="fragment"><pre class="comment">LOCORESPONSEMATRIX - Calculate the BPM response matrix and dispersion function |
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31 | M = LOCORESPONCEMATRIX(RINGData, BPMData, CMData) |
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32 | |
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33 | Accelerator Toolbox implementation of generic LOCO function |
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34 | |
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35 | RINGData - must have fields 'Lattice', 'CavityFrequency', 'CavityHarmNumber' |
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36 | RINGData.Lattice - AT lattice cell arrary |
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37 | RINGData.CavityFrequency [Hz] |
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38 | RINGData.CavityHarmNumber [Hz] |
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39 | |
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40 | CMData - must have fields: 'HCMIndex', 'VCMIndex', 'HCMKicks', 'VCMKicks', 'HCMCoupling', 'VCMCoupling' |
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41 | CMData.HCMIndex - indexes in the AT lattice of elements used as horizontal correctors |
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42 | CMData.VCMIndex - indexes in the AT lattice of elements used as vertical correctors |
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43 | Elements used as correctors in both planes should be included in both lists |
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44 | CMData.HCMKicks - kick size [radians] of horizontal correctors in the horizontal plane |
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45 | CMData.VCMKicks - kick size [radians] of vertical correctors in the vertical plane |
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46 | CMData.HCMCoupling - corrector coupling coefficient into another plane: |
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47 | 0.01 coupling means that for 1e-3 kick in the horizontal direction there |
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48 | is a 1e-5 rad kick in the vertical direction |
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49 | CMData.VCMCoupling - corrector coupling coefficient into another plane: |
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50 | 0.01 coupling means that for 1e-3 kick in the vertical direction there |
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51 | is a 1e-5 rad kick in the horizontal direction |
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52 | |
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53 | BPMData - must have field 'BPMIndex' |
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54 | CMData.BPMIndex - indexes of all BPMs or observation points in the AT lattice |
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55 | All BPS and observation points (single plane too) |
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56 | are included in CMData.BPMIndex. |
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57 | |
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58 | Return value: a matrix with number of rows equal to 2*length(CMData.BPMIndex) and the number of columns |
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59 | equal length(CMData.HCMIndex)+length(CMData.VCMIndex) |
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60 | |
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61 | Additional string flags (in any order) |
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62 | |
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63 | LOCORESPONSEMATRIX(...,ClosedOrbitType,...) |
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64 | ClosedOrbitType is 'fixedmomentum', 'fixedpathlength' (default) |
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65 | |
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66 | LOCORESPONCEMATRIX(..., 'linear') calculates M using linear approximation !!! including the dispersion terms |
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67 | |
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68 | LOCORESPONCEMATRIX(..., 'RF', DeltaRF) - 'RF' switch must be followed by the value of DeltaRF [Hz] |
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69 | |
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70 | LOCORESPONCEMATRIX(..., 'ResponseMatrixMeasurement', 'oneway') - 'oneway' switch is used |
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71 | when the response matrix was measured only kicking the i-th corrector |
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72 | to +KicksCoupled(i) one way, default: ResponseMatrixMeasurement = 'bidirectional' |
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73 | |
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74 | LOCORESPONCEMATRIX(..., 'DispersionMeasurement', 'oneway') - 'oneway' switch is used |
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75 | when the dispersion was measured only by varying the |
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76 | RF frequency in one direction, default: DispersionMeasurement = 'bidirectional' |
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77 | |
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78 | Or a Flags structure can be an input argument: |
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79 | LOCORESPONCEMATRIX(..., Flags) |
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80 | Flags.ResponseMatrixMeasurement = 'oneway' or {'bi-directional'} |
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81 | Flags.DispersionMeasurement = 'oneway' or {'bi-directional'} |
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82 | Flags.ResponseMatrixCalculator = {'linear'} or 'full' |
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83 | Flags.ClosedOrbitType = 'fixedmomentum' or {'fixedpathlength'} |
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84 | |
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85 | Note: flag names are not case sensitive</pre></div> |
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86 | |
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87 | <!-- crossreference --> |
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88 | <h2><a name="_cross"></a>CROSS-REFERENCE INFORMATION <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2> |
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89 | This function calls: |
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90 | <ul style="list-style-image:url(../../matlabicon.gif)"> |
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91 | </ul> |
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92 | This function is called by: |
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93 | <ul style="list-style-image:url(../../matlabicon.gif)"> |
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94 | </ul> |
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95 | <!-- crossreference --> |
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96 | |
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97 | |
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98 | <h2><a name="_source"></a>SOURCE CODE <a href="#_top"><img alt="^" border="0" src="../../up.png"></a></h2> |
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99 | <div class="fragment"><pre>0001 <a name="_sub0" href="#_subfunctions" class="code">function RM = locoresponsematrix(RINGData, BPMData, CMData, varargin);</a> |
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100 | 0002 <span class="comment">%LOCORESPONSEMATRIX - Calculate the BPM response matrix and dispersion function</span> |
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101 | 0003 <span class="comment">% M = LOCORESPONCEMATRIX(RINGData, BPMData, CMData)</span> |
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102 | 0004 <span class="comment">%</span> |
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103 | 0005 <span class="comment">% Accelerator Toolbox implementation of generic LOCO function</span> |
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104 | 0006 <span class="comment">%</span> |
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105 | 0007 <span class="comment">% RINGData - must have fields 'Lattice', 'CavityFrequency', 'CavityHarmNumber'</span> |
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106 | 0008 <span class="comment">% RINGData.Lattice - AT lattice cell arrary</span> |
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107 | 0009 <span class="comment">% RINGData.CavityFrequency [Hz]</span> |
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108 | 0010 <span class="comment">% RINGData.CavityHarmNumber [Hz]</span> |
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109 | 0011 <span class="comment">%</span> |
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110 | 0012 <span class="comment">% CMData - must have fields: 'HCMIndex', 'VCMIndex', 'HCMKicks', 'VCMKicks', 'HCMCoupling', 'VCMCoupling'</span> |
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111 | 0013 <span class="comment">% CMData.HCMIndex - indexes in the AT lattice of elements used as horizontal correctors</span> |
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112 | 0014 <span class="comment">% CMData.VCMIndex - indexes in the AT lattice of elements used as vertical correctors</span> |
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113 | 0015 <span class="comment">% Elements used as correctors in both planes should be included in both lists</span> |
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114 | 0016 <span class="comment">% CMData.HCMKicks - kick size [radians] of horizontal correctors in the horizontal plane</span> |
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115 | 0017 <span class="comment">% CMData.VCMKicks - kick size [radians] of vertical correctors in the vertical plane</span> |
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116 | 0018 <span class="comment">% CMData.HCMCoupling - corrector coupling coefficient into another plane:</span> |
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117 | 0019 <span class="comment">% 0.01 coupling means that for 1e-3 kick in the horizontal direction there</span> |
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118 | 0020 <span class="comment">% is a 1e-5 rad kick in the vertical direction</span> |
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119 | 0021 <span class="comment">% CMData.VCMCoupling - corrector coupling coefficient into another plane:</span> |
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120 | 0022 <span class="comment">% 0.01 coupling means that for 1e-3 kick in the vertical direction there</span> |
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121 | 0023 <span class="comment">% is a 1e-5 rad kick in the horizontal direction</span> |
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122 | 0024 <span class="comment">%</span> |
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123 | 0025 <span class="comment">% BPMData - must have field 'BPMIndex'</span> |
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124 | 0026 <span class="comment">% CMData.BPMIndex - indexes of all BPMs or observation points in the AT lattice</span> |
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125 | 0027 <span class="comment">% All BPS and observation points (single plane too)</span> |
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126 | 0028 <span class="comment">% are included in CMData.BPMIndex.</span> |
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127 | 0029 <span class="comment">%</span> |
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128 | 0030 <span class="comment">% Return value: a matrix with number of rows equal to 2*length(CMData.BPMIndex) and the number of columns</span> |
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129 | 0031 <span class="comment">% equal length(CMData.HCMIndex)+length(CMData.VCMIndex)</span> |
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130 | 0032 <span class="comment">%</span> |
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131 | 0033 <span class="comment">% Additional string flags (in any order)</span> |
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132 | 0034 <span class="comment">%</span> |
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133 | 0035 <span class="comment">% LOCORESPONSEMATRIX(...,ClosedOrbitType,...)</span> |
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134 | 0036 <span class="comment">% ClosedOrbitType is 'fixedmomentum', 'fixedpathlength' (default)</span> |
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135 | 0037 <span class="comment">%</span> |
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136 | 0038 <span class="comment">% LOCORESPONCEMATRIX(..., 'linear') calculates M using linear approximation !!! including the dispersion terms</span> |
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137 | 0039 <span class="comment">%</span> |
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138 | 0040 <span class="comment">% LOCORESPONCEMATRIX(..., 'RF', DeltaRF) - 'RF' switch must be followed by the value of DeltaRF [Hz]</span> |
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139 | 0041 <span class="comment">%</span> |
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140 | 0042 <span class="comment">% LOCORESPONCEMATRIX(..., 'ResponseMatrixMeasurement', 'oneway') - 'oneway' switch is used</span> |
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141 | 0043 <span class="comment">% when the response matrix was measured only kicking the i-th corrector</span> |
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142 | 0044 <span class="comment">% to +KicksCoupled(i) one way, default: ResponseMatrixMeasurement = 'bidirectional'</span> |
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143 | 0045 <span class="comment">%</span> |
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144 | 0046 <span class="comment">% LOCORESPONCEMATRIX(..., 'DispersionMeasurement', 'oneway') - 'oneway' switch is used</span> |
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145 | 0047 <span class="comment">% when the dispersion was measured only by varying the</span> |
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146 | 0048 <span class="comment">% RF frequency in one direction, default: DispersionMeasurement = 'bidirectional'</span> |
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147 | 0049 <span class="comment">%</span> |
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148 | 0050 <span class="comment">% Or a Flags structure can be an input argument:</span> |
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149 | 0051 <span class="comment">% LOCORESPONCEMATRIX(..., Flags)</span> |
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150 | 0052 <span class="comment">% Flags.ResponseMatrixMeasurement = 'oneway' or {'bi-directional'}</span> |
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151 | 0053 <span class="comment">% Flags.DispersionMeasurement = 'oneway' or {'bi-directional'}</span> |
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152 | 0054 <span class="comment">% Flags.ResponseMatrixCalculator = {'linear'} or 'full'</span> |
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153 | 0055 <span class="comment">% Flags.ClosedOrbitType = 'fixedmomentum' or {'fixedpathlength'}</span> |
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154 | 0056 <span class="comment">%</span> |
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155 | 0057 <span class="comment">% Note: flag names are not case sensitive</span> |
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156 | 0058 |
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157 | 0059 C = 2.99792458e8; |
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158 | 0060 |
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159 | 0061 <span class="comment">% Defaults</span> |
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160 | 0062 ResponseMatrixMeasurement = <span class="string">'bidirectional'</span>; |
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161 | 0063 DispersionMeasurement = <span class="string">'bidirectional'</span>; |
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162 | 0064 ResponseMatrixCalculator = <span class="string">'linear'</span>; |
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163 | 0065 ClosedOrbitType = <span class="string">'fixedpathlength'</span>; |
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164 | 0066 |
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165 | 0067 RFFLAG = 0; |
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166 | 0068 DeltaRF = []; |
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167 | 0069 |
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168 | 0070 N = nargin-3; |
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169 | 0071 i = 0; |
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170 | 0072 <span class="keyword">while</span> i < N |
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171 | 0073 i = i + 1; |
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172 | 0074 <span class="keyword">if</span> isstruct(varargin{i}) |
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173 | 0075 Flags = varargin{i}; |
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174 | 0076 <span class="keyword">if</span> isfield(Flags,<span class="string">'ResponseMatrixCalculator'</span>) |
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175 | 0077 ResponseMatrixCalculator = Flags.ResponseMatrixCalculator; |
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176 | 0078 <span class="keyword">end</span> |
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177 | 0079 <span class="keyword">if</span> isfield(Flags,<span class="string">'ClosedOrbitType'</span>) |
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178 | 0080 ClosedOrbitType = Flags.ClosedOrbitType; |
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179 | 0081 <span class="keyword">end</span> |
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180 | 0082 <span class="keyword">if</span> isfield(Flags,<span class="string">'ResponseMatrixMeasurement'</span>) |
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181 | 0083 ResponseMatrixMeasurement = Flags.ResponseMatrixMeasurement; |
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182 | 0084 <span class="keyword">end</span> |
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183 | 0085 <span class="keyword">if</span> isfield(Flags,<span class="string">'DispersionMeasurement'</span>) |
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184 | 0086 DispersionMeasurement = Flags.DispersionMeasurement; |
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185 | 0087 <span class="keyword">end</span> |
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186 | 0088 <span class="keyword">elseif</span> ischar(varargin{i}) |
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187 | 0089 <span class="keyword">switch</span> lower(varargin{i}) |
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188 | 0090 <span class="keyword">case</span> <span class="string">'linear'</span> |
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189 | 0091 ResponseMatrixCalculator = <span class="string">'linear'</span>; |
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190 | 0092 <span class="keyword">case</span> <span class="string">'full'</span> |
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191 | 0093 ResponseMatrixCalculator = <span class="string">'full'</span>; |
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192 | 0094 <span class="keyword">case</span> <span class="string">'fixedmomentum'</span> |
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193 | 0095 ClosedOrbitType = <span class="string">'fixedmomentum'</span>; |
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194 | 0096 <span class="keyword">case</span> <span class="string">'fixedpathlength'</span> |
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195 | 0097 ClosedOrbitType = <span class="string">'fixedpathlength'</span>; |
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196 | 0098 <span class="keyword">case</span> <span class="string">'rf'</span> |
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197 | 0099 <span class="keyword">if</span> (i+4<=nargin) & isnumeric(varargin{i+1}) |
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198 | 0100 RFFLAG = 1; |
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199 | 0101 DeltaRF = varargin{i+1}; |
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200 | 0102 i = i + 1; |
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201 | 0103 <span class="keyword">else</span> |
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202 | 0104 error(<span class="string">'''RF'' flag must be followed by a numeric value of delta RF [Hz]'</span>); |
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203 | 0105 <span class="keyword">end</span> |
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204 | 0106 <span class="keyword">case</span> <span class="string">'dispersionmeasurement'</span> |
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205 | 0107 <span class="keyword">if</span> (i+4<=nargin) & isstr(varargin{i+1}) |
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206 | 0108 DispersionMeasurement = varargin{i+1}; |
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207 | 0109 i = i + 1; |
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208 | 0110 <span class="keyword">else</span> |
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209 | 0111 error(<span class="string">'''DispersionMeasurement'' flag must be followed by ''oneway'' or ''bidirectional'''</span>); |
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210 | 0112 <span class="keyword">end</span> |
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211 | 0113 <span class="keyword">case</span> <span class="string">'responsematrixmeasurement'</span> |
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212 | 0114 <span class="keyword">if</span> (i+4<=nargin) & isstr(varargin{i+1}) |
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213 | 0115 ResponseMatrixMeasurement = varargin{i+1}; |
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214 | 0116 i = i + 1; |
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215 | 0117 <span class="keyword">else</span> |
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216 | 0118 error(<span class="string">'''ResponseMatrixMeasurement'' flag must be followed by ''oneway'' or ''bidirectional'''</span>); |
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217 | 0119 <span class="keyword">end</span> |
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218 | 0120 <span class="keyword">otherwise</span> |
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219 | 0121 warning(<span class="string">'Unknown switch ignored.'</span>); |
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220 | 0122 <span class="keyword">end</span> |
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221 | 0123 <span class="keyword">else</span> |
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222 | 0124 warning(<span class="string">'Unknown switch ignored.'</span>); |
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223 | 0125 <span class="keyword">end</span> |
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224 | 0126 <span class="keyword">end</span> |
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225 | 0127 |
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226 | 0128 |
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227 | 0129 <span class="comment">% Input checks</span> |
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228 | 0130 ResponseMatrixCalculator = lower(ResponseMatrixCalculator); |
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229 | 0131 ClosedOrbitType = lower(ClosedOrbitType); |
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230 | 0132 ResponseMatrixMeasurement = lower(ResponseMatrixMeasurement); |
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231 | 0133 DispersionMeasurement = lower(DispersionMeasurement); |
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232 | 0134 |
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233 | 0135 <span class="keyword">if</span> ~strcmp(ResponseMatrixMeasurement, <span class="string">'bidirectional'</span>) & ~strcmp(ResponseMatrixMeasurement, <span class="string">'oneway'</span>) |
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234 | 0136 error(<span class="string">'Unknown ResponseMatrixMeasurement type'</span>); |
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235 | 0137 <span class="keyword">end</span> |
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236 | 0138 <span class="keyword">if</span> ~strcmp(DispersionMeasurement, <span class="string">'bidirectional'</span>) & ~strcmp(DispersionMeasurement, <span class="string">'oneway'</span>) |
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237 | 0139 error(<span class="string">'Unknown DispersionMeasurement type'</span>); |
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238 | 0140 <span class="keyword">end</span> |
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239 | 0141 <span class="keyword">if</span> ~strcmp(ResponseMatrixCalculator, <span class="string">'linear'</span>) & ~strcmp(ResponseMatrixCalculator, <span class="string">'full'</span>) |
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240 | 0142 error(<span class="string">'Unknown ResponseMatrixCalculator method'</span>); |
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241 | 0143 <span class="keyword">end</span> |
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242 | 0144 <span class="keyword">if</span> ~strcmp(ClosedOrbitType, <span class="string">'fixedpathlength'</span>) & ~strcmp(ClosedOrbitType, <span class="string">'fixedmomentum'</span>) |
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243 | 0145 error(<span class="string">'Unknown ClosedOrbitType method'</span>); |
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244 | 0146 <span class="keyword">end</span> |
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245 | 0147 |
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246 | 0148 |
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247 | 0149 <span class="comment">% Initialize</span> |
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248 | 0150 ATRING = RINGData.Lattice; |
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249 | 0151 NHC = length(CMData.HCMIndex); |
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250 | 0152 NVC = length(CMData.VCMIndex); |
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251 | 0153 NBPM = length(BPMData.BPMIndex); |
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252 | 0154 |
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253 | 0155 <span class="keyword">if</span> RFFLAG |
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254 | 0156 <span class="comment">% Add an extra column for the orbit responce to the RF frequency change</span> |
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255 | 0157 RM = zeros(2*NBPM,NHC+NVC+1); |
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256 | 0158 <span class="keyword">else</span> |
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257 | 0159 RM = zeros(2*NBPM,NHC+NVC); |
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258 | 0160 <span class="keyword">end</span> |
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259 | 0161 |
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260 | 0162 |
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261 | 0163 NE = length(ATRING); |
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262 | 0164 <span class="keyword">if</span> strcmp(lower(ResponseMatrixCalculator), <span class="string">'linear'</span>) |
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263 | 0165 <span class="comment">% Calculate linear optics and chromatic finctions for the model</span> |
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264 | 0166 [M44,T,ClosedOrbit] = findm44(ATRING,0,1:NE+1); |
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265 | 0167 DP = 0.00001; |
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266 | 0168 ClosedOrbitDP = findorbit4(ATRING,DP,1:NE+1); |
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267 | 0169 Dispersion = (ClosedOrbitDP-ClosedOrbit)/DP; |
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268 | 0170 L0 = findspos(ATRING,NE+1); |
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269 | 0171 |
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270 | 0172 <span class="comment">%%X1(6)/(DP*L0); % is not the same as mcf(ATRING)??? G. Portmann</span> |
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271 | 0173 <span class="comment">%X1 = ringpass(ATRING,[ClosedOrbitDP(:,1);DP;0]);</span> |
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272 | 0174 <span class="comment">%MCF = X1(6)/(DP*L0);</span> |
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273 | 0175 MCF = mcf(ATRING); |
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274 | 0176 |
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275 | 0177 <span class="comment">% Transfer matrixes through individual correctors</span> |
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276 | 0178 M44HCOR = cell(1,NHC); |
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277 | 0179 M44VCOR = cell(1,NVC); |
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278 | 0180 <span class="keyword">for</span> i=1:NHC |
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279 | 0181 M44HCOR{i}=findelemm44(ATRING{CMData.HCMIndex(i)},ATRING{CMData.HCMIndex(i)}.PassMethod,[ClosedOrbit(:,CMData.HCMIndex(i));0;0]); |
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280 | 0182 <span class="keyword">end</span> |
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281 | 0183 <span class="keyword">for</span> i=1:NVC |
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282 | 0184 match = find(CMData.VCMIndex(i)==CMData.HCMIndex); |
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283 | 0185 <span class="keyword">if</span> match |
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284 | 0186 M44VCOR{i}=M44HCOR{match}; |
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285 | 0187 <span class="keyword">else</span> |
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286 | 0188 M44VCOR{i}=findelemm44(ATRING{CMData.VCMIndex(i)},ATRING{CMData.VCMIndex(i)}.PassMethod,[ClosedOrbit(:,CMData.VCMIndex(i));0;0]); |
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287 | 0189 <span class="keyword">end</span> |
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288 | 0190 <span class="keyword">end</span> |
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289 | 0191 |
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290 | 0192 |
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291 | 0193 <span class="comment">% Assemble arrays of corrector kicks including coupling</span> |
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292 | 0194 HCORTheta = zeros(4,NHC); |
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293 | 0195 VCORTheta = zeros(4,NVC); |
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294 | 0196 |
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295 | 0197 HCORTheta(2,:) = [CMData.HCMKicks(:)]'; |
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296 | 0198 HCORTheta(4,:) = [CMData.HCMCoupling(:)]'.*[CMData.HCMKicks(:)]'; |
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297 | 0199 VCORTheta(2,:) = [CMData.VCMCoupling(:)]'.*[CMData.VCMKicks(:)]'; |
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298 | 0200 VCORTheta(4,:) = [CMData.VCMKicks(:)]'; |
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299 | 0201 |
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300 | 0202 |
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301 | 0203 <span class="comment">% Calculate closed orbit at the exit of each corrector magnet WITH applied kick</span> |
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302 | 0204 <span class="keyword">for</span> i=1:NHC |
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303 | 0205 CI = CMData.HCMIndex(i); |
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304 | 0206 InverseT = inv(T(:,:,CI)); |
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305 | 0207 OrbitEntrance = (inv(eye(4)-T(:,:,CI)*M44*InverseT)*<span class="keyword">...</span> |
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306 | 0208 T(:,:,CI)*M44*InverseT*(eye(4)+inv(M44HCOR{i}))*HCORTheta(:,i)/2); |
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307 | 0209 |
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308 | 0210 OrbitExit = HCORTheta(:,i)/2+M44HCOR{i}*(OrbitEntrance+HCORTheta(:,i)/2); |
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309 | 0211 |
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310 | 0212 |
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311 | 0213 R0 = inv(T(:,:,CI+1))*OrbitExit; |
---|
312 | 0214 |
---|
313 | 0215 <span class="keyword">for</span> j=1:NBPM |
---|
314 | 0216 <span class="keyword">if</span> BPMData.BPMIndex(j)>CMData.HCMIndex(i) |
---|
315 | 0217 RM([j, j+NBPM],i) = T([1, 3],:,BPMData.BPMIndex(j))*R0; |
---|
316 | 0218 |
---|
317 | 0219 <span class="keyword">else</span> |
---|
318 | 0220 RM([j, j+NBPM],i) = T([1, 3],:,BPMData.BPMIndex(j))*M44*R0; |
---|
319 | 0221 <span class="keyword">end</span> |
---|
320 | 0222 <span class="keyword">end</span> |
---|
321 | 0223 |
---|
322 | 0224 <span class="keyword">if</span> strcmp(lower(ClosedOrbitType),<span class="string">'fixedpathlength'</span>) |
---|
323 | 0225 <span class="comment">% Use the average value of the dispersion at entrance and exit</span> |
---|
324 | 0226 D = HCORTheta(2,i) * <span class="keyword">...</span> |
---|
325 | 0227 (Dispersion(1,CMData.HCMIndex(i))+Dispersion(1,CMData.HCMIndex(i)+1)) * <span class="keyword">...</span> |
---|
326 | 0228 Dispersion([1 3],BPMData.BPMIndex) /L0/MCF/2; |
---|
327 | 0229 |
---|
328 | 0230 RM(1:NBPM,i) = RM(1:NBPM,i) - D(1,:)'; |
---|
329 | 0231 RM(NBPM+1:<span class="keyword">end</span>,i) = RM(NBPM+1:<span class="keyword">end</span>,i) - D(2,:)'; |
---|
330 | 0232 <span class="keyword">end</span> |
---|
331 | 0233 |
---|
332 | 0234 <span class="keyword">end</span> |
---|
333 | 0235 |
---|
334 | 0236 <span class="keyword">for</span> i=1:NVC |
---|
335 | 0237 CI = CMData.VCMIndex(i); |
---|
336 | 0238 |
---|
337 | 0239 InverseT = inv(T(:,:,CI)); |
---|
338 | 0240 OrbitEntrance = (inv(eye(4)-T(:,:,CI)*M44*InverseT) * T(:,:,CI) * M44 * <span class="keyword">...</span><span class="comment"> </span> |
---|
339 | 0241 InverseT * (eye(4)+inv(M44VCOR{i}))*VCORTheta(:,i)/2); |
---|
340 | 0242 OrbitExit = VCORTheta(:,i)/2+M44VCOR{i}*(OrbitEntrance+VCORTheta(:,i)/2); |
---|
341 | 0243 |
---|
342 | 0244 R0 = inv(T(:,:,CI+1))*OrbitExit; |
---|
343 | 0245 <span class="keyword">for</span> j=1:NBPM |
---|
344 | 0246 <span class="keyword">if</span> BPMData.BPMIndex(j)>CMData.VCMIndex(i) |
---|
345 | 0247 RM([j, j+NBPM],i+NHC) = T([1, 3],:,BPMData.BPMIndex(j))*R0; |
---|
346 | 0248 <span class="keyword">else</span> |
---|
347 | 0249 RM([j, j+NBPM],i+NHC) = T([1, 3],:,BPMData.BPMIndex(j))*M44*R0; |
---|
348 | 0250 <span class="keyword">end</span> |
---|
349 | 0251 <span class="keyword">end</span> |
---|
350 | 0252 |
---|
351 | 0253 <span class="comment">% Vertical correctors with coupling to X and non-zero horizontal dispersion</span> |
---|
352 | 0254 <span class="keyword">if</span> strcmp(lower(ClosedOrbitType),<span class="string">'fixedpathlength'</span>) |
---|
353 | 0255 <span class="comment">% Use the average value of the dispersion at entrance and exit</span> |
---|
354 | 0256 D = VCORTheta(2,i)*(Dispersion(1,CMData.VCMIndex(i))+Dispersion(1,CMData.VCMIndex(i)+1))*<span class="keyword">...</span> |
---|
355 | 0257 Dispersion([1 3],BPMData.BPMIndex)/L0/MCF/2; |
---|
356 | 0258 RM(1:NBPM,NHC+i) = RM(1:NBPM,NHC+i) - D(1,:)'; |
---|
357 | 0259 RM(NBPM+1:<span class="keyword">end</span>,NHC+i) = RM(NBPM+1:<span class="keyword">end</span>,NHC+i) - D(2,:)'; |
---|
358 | 0260 <span class="keyword">end</span> |
---|
359 | 0261 <span class="keyword">end</span> |
---|
360 | 0262 |
---|
361 | 0263 <span class="keyword">if</span> RFFLAG |
---|
362 | 0264 <span class="keyword">if</span> strcmp(lower(DispersionMeasurement), <span class="string">'bidirectional'</span>) |
---|
363 | 0265 ORBITPLUS = findsyncorbit(RINGData.Lattice, (-C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2)/2, 1:length(RINGData.Lattice)+1); |
---|
364 | 0266 ORBIT0 = findsyncorbit(RINGData.Lattice, ( C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2)/2, 1:length(RINGData.Lattice)+1); |
---|
365 | 0267 <span class="keyword">else</span> |
---|
366 | 0268 ORBITPLUS = findsyncorbit(RINGData.Lattice, -C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2, 1:length(RINGData.Lattice)+1); |
---|
367 | 0269 ORBIT0 = findsyncorbit(RINGData.Lattice, 0, 1:length(RINGData.Lattice)+1); |
---|
368 | 0270 <span class="keyword">end</span> |
---|
369 | 0271 D = ORBITPLUS([1 3],BPMData.BPMIndex) - ORBIT0([1 3],BPMData.BPMIndex); |
---|
370 | 0272 RM(:,end) = [D(1,:)'; D(2,:)']; |
---|
371 | 0273 <span class="keyword">end</span> |
---|
372 | 0274 |
---|
373 | 0275 |
---|
374 | 0276 <span class="keyword">elseif</span> strcmp(lower(ClosedOrbitType),<span class="string">'fixedpathlength'</span>) |
---|
375 | 0277 <span class="comment">% Exact calculation using FINDSYNCORBIT</span> |
---|
376 | 0278 |
---|
377 | 0279 <span class="keyword">for</span> i = 1:NHC |
---|
378 | 0280 <span class="keyword">switch</span> ATRING{CMData.HCMIndex(i)}.PassMethod |
---|
379 | 0281 <span class="keyword">case</span> <span class="string">'CorrectorPass'</span> |
---|
380 | 0282 |
---|
381 | 0283 KickAngle0 = ATRING{CMData.HCMIndex(i)}.KickAngle; |
---|
382 | 0284 |
---|
383 | 0285 <span class="keyword">if</span> strcmp(lower(ResponseMatrixMeasurement), <span class="string">'bidirectional'</span>) |
---|
384 | 0286 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.HCMKicks(i)/2; |
---|
385 | 0287 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.HCMKicks(i)*CMData.HCMCoupling(i)/2; |
---|
386 | 0288 ORBITPLUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
387 | 0289 |
---|
388 | 0290 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1) - CMData.HCMKicks(i)/2; |
---|
389 | 0291 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2) - CMData.HCMKicks(i)*CMData.HCMCoupling(i)/2; |
---|
390 | 0292 ORBITMINUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
391 | 0293 <span class="keyword">else</span> |
---|
392 | 0294 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.HCMKicks(i); |
---|
393 | 0295 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.HCMKicks(i)*CMData.HCMCoupling(i); |
---|
394 | 0296 ORBITPLUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
395 | 0297 |
---|
396 | 0298 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1); |
---|
397 | 0299 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2); |
---|
398 | 0300 ORBITMINUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
399 | 0301 <span class="keyword">end</span> |
---|
400 | 0302 |
---|
401 | 0303 ATRING{CMData.HCMIndex(i)}.KickAngle = KickAngle0; |
---|
402 | 0304 |
---|
403 | 0305 RM(:,i) = [ORBITPLUS(1,:)-ORBITMINUS(1,:),ORBITPLUS(3,:)-ORBITMINUS(3,:)]'; |
---|
404 | 0306 |
---|
405 | 0307 <span class="keyword">case</span> {<span class="string">'StrMPoleSymplectic4Pass'</span>,<span class="string">'BndMPoleSymplectic4Pass'</span>} |
---|
406 | 0308 error(<span class="string">'Not implemented yet'</span>); |
---|
407 | 0309 <span class="keyword">otherwise</span> |
---|
408 | 0310 error(<span class="string">'Unknown pass method for corrector'</span>); |
---|
409 | 0311 <span class="keyword">end</span> |
---|
410 | 0312 <span class="keyword">end</span> |
---|
411 | 0313 |
---|
412 | 0314 <span class="keyword">for</span> i = 1:NVC |
---|
413 | 0315 <span class="keyword">switch</span> ATRING{CMData.VCMIndex(i)}.PassMethod |
---|
414 | 0316 <span class="keyword">case</span> <span class="string">'CorrectorPass'</span> |
---|
415 | 0317 KickAngle0 = ATRING{CMData.VCMIndex(i)}.KickAngle; |
---|
416 | 0318 |
---|
417 | 0319 <span class="keyword">if</span> strcmp(lower(ResponseMatrixMeasurement), <span class="string">'bidirectional'</span>) |
---|
418 | 0320 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.VCMKicks(i)/2; |
---|
419 | 0321 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.VCMKicks(i)*CMData.VCMCoupling(i)/2; |
---|
420 | 0322 ORBITPLUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
421 | 0323 |
---|
422 | 0324 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2) - CMData.VCMKicks(i)/2; |
---|
423 | 0325 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1) - CMData.VCMKicks(i)*CMData.VCMCoupling(i)/2; |
---|
424 | 0326 ORBITMINUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
425 | 0327 <span class="keyword">else</span> |
---|
426 | 0328 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.VCMKicks(i); |
---|
427 | 0329 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.VCMKicks(i)*CMData.VCMCoupling(i); |
---|
428 | 0330 ORBITPLUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
429 | 0331 |
---|
430 | 0332 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2); |
---|
431 | 0333 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1); |
---|
432 | 0334 ORBITMINUS = findsyncorbit(ATRING,0,BPMData.BPMIndex); |
---|
433 | 0335 <span class="keyword">end</span> |
---|
434 | 0336 |
---|
435 | 0337 ATRING{CMData.VCMIndex(i)}.KickAngle = KickAngle0; |
---|
436 | 0338 |
---|
437 | 0339 RM(:,NHC+i) = [ORBITPLUS(1,:)-ORBITMINUS(1,:),ORBITPLUS(3,:)-ORBITMINUS(3,:)]'; |
---|
438 | 0340 |
---|
439 | 0341 <span class="keyword">case</span> {<span class="string">'StrMPoleSymplectic4Pass'</span>,<span class="string">'BndMPoleSymplectic4Pass'</span>} |
---|
440 | 0342 error(<span class="string">'Not implemented yet'</span>); |
---|
441 | 0343 <span class="keyword">otherwise</span> |
---|
442 | 0344 error(<span class="string">'Unknown pass method for corrector'</span>) |
---|
443 | 0345 <span class="keyword">end</span> |
---|
444 | 0346 <span class="keyword">end</span> |
---|
445 | 0347 |
---|
446 | 0348 <span class="keyword">if</span> RFFLAG |
---|
447 | 0349 <span class="keyword">if</span> strcmp(lower(DispersionMeasurement), <span class="string">'bidirectional'</span>) |
---|
448 | 0350 ORBITPLUS = findsyncorbit(RINGData.Lattice, (-C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2)/2, 1:length(RINGData.Lattice)+1); |
---|
449 | 0351 ORBIT0 = findsyncorbit(RINGData.Lattice, ( C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2)/2, 1:length(RINGData.Lattice)+1); |
---|
450 | 0352 <span class="keyword">else</span> |
---|
451 | 0353 ORBITPLUS = findsyncorbit(RINGData.Lattice, -C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2, 1:length(RINGData.Lattice)+1); |
---|
452 | 0354 ORBIT0 = findsyncorbit(RINGData.Lattice, 0, 1:length(RINGData.Lattice)+1); |
---|
453 | 0355 <span class="keyword">end</span> |
---|
454 | 0356 |
---|
455 | 0357 D = ORBITPLUS([1 3],BPMData.BPMIndex) - ORBIT0([1 3],BPMData.BPMIndex); |
---|
456 | 0358 RM(:,end) = [D(1,:)';D(2,:)']; |
---|
457 | 0359 <span class="keyword">end</span> |
---|
458 | 0360 |
---|
459 | 0361 <span class="keyword">elseif</span> strcmp(lower(ClosedOrbitType),<span class="string">'fixedmomentum'</span>) |
---|
460 | 0362 <span class="comment">% ClosedOrbitType = 'fixedmomentum' - Exact calculation using FINDORBIT4</span> |
---|
461 | 0363 <span class="keyword">for</span> i = 1:NHC |
---|
462 | 0364 <span class="keyword">switch</span> ATRING{CMData.HCMIndex(i)}.PassMethod |
---|
463 | 0365 <span class="keyword">case</span> <span class="string">'CorrectorPass'</span> |
---|
464 | 0366 KickAngle0 = ATRING{CMData.HCMIndex(i)}.KickAngle; |
---|
465 | 0367 |
---|
466 | 0368 <span class="keyword">if</span> strcmp(lower(ResponseMatrixMeasurement), <span class="string">'bidirectional'</span>) |
---|
467 | 0369 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.HCMKicks(i)/2; |
---|
468 | 0370 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.HCMKicks(i)*CMData.HCMCoupling(i)/2; |
---|
469 | 0371 ORBITPLUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
470 | 0372 |
---|
471 | 0373 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1) - CMData.HCMKicks(i)/2; |
---|
472 | 0374 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2) - CMData.HCMKicks(i)*CMData.HCMCoupling(i)/2; |
---|
473 | 0375 ORBITMINUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
474 | 0376 <span class="keyword">else</span> |
---|
475 | 0377 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.HCMKicks(i); |
---|
476 | 0378 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.HCMKicks(i)*CMData.HCMCoupling(i); |
---|
477 | 0379 ORBITPLUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
478 | 0380 |
---|
479 | 0381 ATRING{CMData.HCMIndex(i)}.KickAngle(1) = KickAngle0(1); |
---|
480 | 0382 ATRING{CMData.HCMIndex(i)}.KickAngle(2) = KickAngle0(2); |
---|
481 | 0383 ORBITMINUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
482 | 0384 <span class="keyword">end</span> |
---|
483 | 0385 |
---|
484 | 0386 ATRING{CMData.HCMIndex(i)}.KickAngle = KickAngle0; |
---|
485 | 0387 |
---|
486 | 0388 RM(:,i) = [ORBITPLUS(1,:)-ORBITMINUS(1,:),ORBITPLUS(3,:)-ORBITMINUS(3,:)]'; |
---|
487 | 0389 |
---|
488 | 0390 <span class="keyword">case</span> {<span class="string">'StrMPoleSymplectic4Pass'</span>,<span class="string">'BndMPoleSymplectic4Pass'</span>} |
---|
489 | 0391 error(<span class="string">'Not implemented yet'</span>); |
---|
490 | 0392 <span class="keyword">otherwise</span> |
---|
491 | 0393 error(<span class="string">'Unknown pass method for corrector'</span>); |
---|
492 | 0394 <span class="keyword">end</span> |
---|
493 | 0395 <span class="keyword">end</span> |
---|
494 | 0396 |
---|
495 | 0397 <span class="keyword">for</span> i = 1:NVC |
---|
496 | 0398 <span class="keyword">switch</span> ATRING{CMData.HCMIndex(i)}.PassMethod |
---|
497 | 0399 <span class="keyword">case</span> <span class="string">'CorrectorPass'</span> |
---|
498 | 0400 |
---|
499 | 0401 KickAngle0 = ATRING{CMData.HCMIndex(i)}.KickAngle; |
---|
500 | 0402 |
---|
501 | 0403 <span class="keyword">if</span> strcmp(lower(ResponseMatrixMeasurement), <span class="string">'bidirectional'</span>) |
---|
502 | 0404 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.VCMKicks(i)/2; |
---|
503 | 0405 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.VCMKicks(i)*CMData.VCMCoupling(i)/2; |
---|
504 | 0406 ORBITPLUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
505 | 0407 |
---|
506 | 0408 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2) - CMData.VCMKicks(i)/2; |
---|
507 | 0409 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1) - CMData.VCMKicks(i)*CMData.VCMCoupling(i)/2; |
---|
508 | 0410 ORBITMINUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
509 | 0411 <span class="keyword">else</span> |
---|
510 | 0412 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2) + CMData.VCMKicks(i); |
---|
511 | 0413 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1) + CMData.VCMKicks(i)*CMData.VCMCoupling(i); |
---|
512 | 0414 ORBITPLUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
513 | 0415 |
---|
514 | 0416 ATRING{CMData.VCMIndex(i)}.KickAngle(2) = KickAngle0(2); |
---|
515 | 0417 ATRING{CMData.VCMIndex(i)}.KickAngle(1) = KickAngle0(1); |
---|
516 | 0418 ORBITMINUS = findorbit4(ATRING,0,BPMData.BPMIndex); |
---|
517 | 0419 <span class="keyword">end</span> |
---|
518 | 0420 |
---|
519 | 0421 ATRING{CMData.VCMIndex(i)}.KickAngle = KickAngle0; |
---|
520 | 0422 |
---|
521 | 0423 RM(:,NHC+i) = [ORBITPLUS(1,:)-ORBITMINUS(1,:),ORBITPLUS(3,:)-ORBITMINUS(3,:)]'; |
---|
522 | 0424 |
---|
523 | 0425 <span class="keyword">case</span> {<span class="string">'StrMPoleSymplectic4Pass'</span>,<span class="string">'BndMPoleSymplectic4Pass'</span>} |
---|
524 | 0426 error(<span class="string">'Not implemented yet'</span>); |
---|
525 | 0427 <span class="keyword">otherwise</span> |
---|
526 | 0428 error(<span class="string">'Unknown pass method for corrector'</span>) |
---|
527 | 0429 <span class="keyword">end</span> |
---|
528 | 0430 <span class="keyword">end</span> |
---|
529 | 0431 |
---|
530 | 0432 <span class="keyword">if</span> RFFLAG |
---|
531 | 0433 <span class="keyword">if</span> strcmp(lower(DispersionMeasurement), <span class="string">'bidirectional'</span>) |
---|
532 | 0434 ORBITPLUS = findsyncorbit(RINGData.Lattice, (-C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2)/2, 1:length(RINGData.Lattice)+1); |
---|
533 | 0435 ORBIT0 = findsyncorbit(RINGData.Lattice, ( C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2)/2, 1:length(RINGData.Lattice)+1); |
---|
534 | 0436 <span class="keyword">else</span> |
---|
535 | 0437 ORBITPLUS = findsyncorbit(RINGData.Lattice, -C*DeltaRF*RINGData.CavityHarmNumber/RINGData.CavityFrequency^2, 1:length(RINGData.Lattice)+1); |
---|
536 | 0438 ORBIT0 = findsyncorbit(RINGData.Lattice, 0, 1:length(RINGData.Lattice)+1); |
---|
537 | 0439 <span class="keyword">end</span> |
---|
538 | 0440 |
---|
539 | 0441 D = ORBITPLUS([1 3],BPMData.BPMIndex) - ORBIT0([1 3],BPMData.BPMIndex); |
---|
540 | 0442 RM(:,end) = [D(1,:)'; D(2,:)']; |
---|
541 | 0443 <span class="keyword">end</span> |
---|
542 | 0444 |
---|
543 | 0445 <span class="keyword">else</span> |
---|
544 | 0446 error(<span class="string">'ClosedOrbitType method unknown'</span>); |
---|
545 | 0447 <span class="keyword">end</span> |
---|
546 | 0448</pre></div> |
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547 | <hr><address>Generated on Mon 21-May-2007 15:32:41 by <strong><a href="http://www.artefact.tk/software/matlab/m2html/">m2html</a></strong> © 2003</address> |
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548 | </body> |
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549 | </html> |
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