Difference between revisions of "Moving the Tagger Microscope"

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<table align="right" cellpadding="3">
 
<table align="right" cellpadding="3">
 
<tr><td><b>Important Documents</b></td></tr>
 
<tr><td><b>Important Documents</b></td></tr>
<tr><td bgcolor="#e0e0f0">[[media:3DPrinterManual.pdf|3D Drawing ...1]]</td></tr>
+
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Protolabs_quote_6_2GeV_Move.pdf Protolabs Quote &rarr; 6.2 GeV Move]</td></tr>
<tr><td bgcolor="#e0e0f0">[[media:PLA_MSDS.pdf|3D Drawing ...2]]</td></tr>
+
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Top_Plate_6_2Gev.dwg Top-Plate<sub>(<i>3D CAD</i>)</sub> &rarr; 6.2 GeV Move]</td></tr>
<tr><td bgcolor="#e0e0f0">[[media:ABS_MSDS.pdf|3D Drawing ...3]]</td></tr>
+
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Upstream_Bar_6_2Gev.dwg Upstream Bar<sub>(<i>3D CAD</i>)</sub> &rarr; 6.2 GeV Move]</td></tr>
<tr><td bgcolor="#e0e0f0">[[media:Lab_419_Printer.pdf|3D Drawing ...4]]</td></tr>
+
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Downstream_Bar_6_2Gev.dwg Downstream Bar<sub>(<i>3D CAD</i>)</sub> &rarr; 6.2 GeV Move]</td></tr>
<tr><td bgcolor="#e0e0f0">[[https://docs.google.com/document/d/1TfcPB16d2L3PRFAXlTW4cL5QBGmv2FN2DODGC_htHYE/edit?usp=sharing | Some Logbook ...]]</td></tr>
+
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Bundle-Support-4-2021.xlsx TAGM Move Calculation Spreadsheet]</td></tr>
 +
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/TAGM_9_2GeV_Bundle_Rod_Fit.C C++ File &rarr; Fit mounting rod positions]</td></tr>
 +
<tr><td bgcolor="#e0e0f0">[https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/TAGM_Weights.C C++ File &rarr; List of current rod positions fit eqns.]</td></tr>
 
</table>
 
</table>
  
 +
=Moving the Tagger Microscope Along the Focal Plane=
  
=Moving the Tagger Microscope Along the Focal Plane=
 
 
==Tagger Microscope==
 
==Tagger Microscope==
 
[[Image:TAGM.png|center|thumb|500px|Figure 1: CAD image of the upper and lower enclosures of the Tagger Microscope made during the design phase.]]
 
[[Image:TAGM.png|center|thumb|500px|Figure 1: CAD image of the upper and lower enclosures of the Tagger Microscope made during the design phase.]]
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Moving the TAGM to a new energy range not only involves the physical relocation of the microscope and its shielding along the tagger magnet's focal plane, but also requires internal realignment of the fiber, which is the subject of this page. The realignment of the scintillating fibers' longitudinal axes requires all 17 bundle supports to have new, individual crossing angles (&beta; angle) with respect to the focal plane. These angles are derived from a table generated based on a TOSCA map of the post-bremsstrahlung crossing angles as they pass through the magnet's focal plane. Since the crossing angle changes with energy (e.g. displacement along the focal plane) each bundle support will have a slight "kick" or "tow" from the adjacent bundle support. The tow is typically on the order of 0.1<sup>o</sup>.
+
Moving the TAGM to a new energy range not only involves the physical relocation of the microscope and its shielding along the tagger magnet's focal plane, but also requires internal realignment of the fiber, which is the subject of this page. The realignment of the scintillating fibers' longitudinal axes requires all 17 bundle supports to have new, individual crossing angles (&beta; angle) with respect to the focal plane. These angles are derived from a table generated based on a TOSCA map of the post-bremsstrahlung electrons' crossing angles as they pass through the magnet's focal plane. Since the crossing angle changes with energy (e.g. displacement along the focal plane) each bundle support will have a slight "kick" or "tow" from the adjacent bundle support. The tow is typically on the order of 0.1<sup>o</sup>.
  
Since the bundle supports have varying &beta; angles, the parallel railing system that holds these supports in place are no longer representative of their namesake. That is, the front and rear rails of the parallel railing system are not parallel to each other and have a pitch with respect to one another. Figure 7 is a pictorial explanation of this and shows that for two equal length rails (front & rear), the length of the upstream and downstream alignment bars differ by 0.039 &plusmn; 0.001 in. at a starting photon energy (E<sub>&gamma;</sub>) with a required tow of 0.09<sup>o</sup> between bundle supports. For each individual photon energy range covered by the microscope, or more simply stated for each energy that the microscope starts at, a new pitch for the parallel rails must be determined and three components (upstream alignment bar, downstream alignment bar, and upstream guide plate) unique to that starting energy must be fabricated. For this reason CAD drawings, an Excel spreadsheet, and this wiki page were created to provide the information needed to realign and move the TAGM to the following starting photon energies: 11, 10, 9, 8, 7, 6.5, 6, 5.5, and 5 GeV. The turnaround time for the machining components is typically two to five days, while the realignment of fibers will take no more than two days with inexperienced workers, and that's being conservative.
+
Since the bundle supports have varying &beta; angles, the parallel railing system that holds these supports in place are no longer representative of their namesake. That is, the front and rear rails of the parallel railing system are not parallel to each other and have a pitch with respect to one another. Figure 7 is a pictorial explanation of this and shows that for two equal length rails (front & rear), the length of the upstream and downstream alignment bars differ by 0.039 &plusmn; 0.001 in. at a starting photon energy (E<sub>&gamma;</sub>) with a required tow of 0.09<sup>o</sup> between bundle supports. For each individual photon energy range covered by the microscope, or more simply stated for each energy that the microscope starts at, a new pitch for the parallel rails must be determined and three components (upstream alignment bar, downstream alignment bar, and upstream guide plate) unique to that starting energy must be fabricated. For this reason CAD drawings, an Excel spreadsheet, and this wiki page were created to provide the information needed to realign and move the TAGM to any starting photon energy between 11 and 5 GeV. The turnaround time for the machining components is typically five to seven days, while the realignment of fibers will take no more than two days with inexperienced workers.
  
 
[[Image:Beta-Angle-Explanation-White.png|center|thumb|1000px|Figure 7: Pictorial representation of the alignment of the front and rear rails of the parallel railing system, which supports and aligns the optical fiber bundle supports along the tagger magnet's focal plane. The red circles represent the locations of the support rods that extend below the bundle supports and are used to secure them to the railings. This representative image was created from a 3D CAD drawing of the microscope which has a precision of &plusmn; 0.001 in.]]
 
[[Image:Beta-Angle-Explanation-White.png|center|thumb|1000px|Figure 7: Pictorial representation of the alignment of the front and rear rails of the parallel railing system, which supports and aligns the optical fiber bundle supports along the tagger magnet's focal plane. The red circles represent the locations of the support rods that extend below the bundle supports and are used to secure them to the railings. This representative image was created from a 3D CAD drawing of the microscope which has a precision of &plusmn; 0.001 in.]]
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             <table style="border: thin solid black;" cellspacing="0">
 
             <table style="border: thin solid black;" cellspacing="0">
 
               <tr>
 
               <tr>
                   <th colspan="2"; align="center" valign="top"; style="background-color:rgb(124,185,232); font-size:13px">New Coordinates</th>
+
                   <th colspan="2"; align="center" valign="top"; style="background-color:rgb(124,185,232); font-size:13px">Updated 2017 Coordinates</th>
 
               </tr>
 
               </tr>
 
               <tr>
 
               <tr>
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       </tr>
 
       </tr>
 
       <tr>
 
       <tr>
         <td align="right" valign="top">X <sub>map</sub> = </td><td align="left" valign="top">0.73488 m</td>
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         <td align="right" valign="top">X<sub>map</sub> = </td><td align="left" valign="top">0.73488 m</td>
 
       </tr>
 
       </tr>
 
       <tr>
 
       <tr>
         <td align="right" valign="top">Y <sub>map</sub> = </td><td align="left" valign="top">1.22645 m</td>
+
         <td align="right" valign="top">Y<sub>map</sub> = </td><td align="left" valign="top">1.22645 m</td>
 
       </tr>
 
       </tr>
 
       <tr>
 
       <tr>
         <td align="right" valign="top">X <sub>FP</sub> = </td><td align="left" valign="top">3.31245 m</td>
+
         <td align="right" valign="top">X<sub>FP</sub> = </td><td align="left" valign="top">3.31245 m</td>
 
       </tr>
 
       </tr>
 
       <tr>
 
       <tr>
         <td align="right" valign="top">Y <sub>FP</sub> = </td><td align="left" valign="top">-0.00932 m</td>
+
         <td align="right" valign="top">Y<sub>FP</sub> = </td><td align="left" valign="top">-0.00932 m</td>
 
       </tr>
 
       </tr>
  
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</center>
 
</center>
  
 +
 +
<center>
 +
  <table style="border:1px solid black;" cellspacing="0">
 +
      <tr>
 +
        <td colspan="2">
 +
            <table style="border: thin solid black;" cellspacing="0">
 +
              <tr>
 +
                  <th colspan="2"; align="center" valign="top"; style="background-color:rgb(244,143,177); font-size:15px">e<sup>-</sup> Focal Plane Crossing</th>
 +
              </tr>
 +
              <tr>
 +
                  <th colspan="2"; align="center" valign="top"; style="background-color:rgb(244,143,177); font-size:11px"><em>(for e<sup>-</sup> that will pass through the</em></th>
 +
              </tr>
 +
              <tr>
 +
                  <th colspan="2"; align="center" valign="top"; style="background-color:rgb(244,143,177); font-size:11px"><em>center of the 1<sup>st</sup> column's face)</em></th>
 +
              </tr>
 +
 +
            </table>
 +
        </td>
 +
      </tr>
 +
      <tr>
 +
        <td align="right" valign="top">X<sub>FP</sub> = </td><td align="left" valign="top">3.26198 m</td>
 +
      </tr>
 +
      <tr>
 +
        <td align="right" valign="top">Y<sub>FP</sub> = </td><td align="left" valign="top">0.0 m</td>
 +
      </tr>
 +
      <tr>
 +
        <td align="right" valign="top">E<sub>&gamma;</sub> = </td><td align="left" valign="top">9.201 GeV</td>
 +
      </tr>
 +
      <tr>
 +
        <td align="right" valign="top">&beta; = </td><td align="left" valign="top">12.695<sup>o</sup></td>
 +
      </tr>
 +
 +
  </table>
 +
</center>
  
 
<!--
 
<!--
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-->
 
-->
  
==Bundle Support (aka Popsicle Stick)==
+
==Bundle Support (a.k.a. Popsicle Stick)==
 
The Tagger Microscope (TAGM) contains 17 optical fiber bundle, each consists of a 5x6 array of 30 fibers for a total of 510 fibers (5 rows, 102 columns). Figure 2 below shows the fiber array as viewed by the electrons passing through the tagger magnet focal plane. Each optical fiber consists of a 2 mm<sup>2</sup> x 2 cm BCF-20 scintillating fiber (SciFi) thermally fused to 2 mm<sup>2</sup> x 165 cm BCF-98 light guide, see Figures 3 & 4. The SciFi end of each fiber is thermally bent into an "S" shape to remove the fiber from the electrons' path soon after passing through the SciFi, see Figure 5. The fiber begins its bend out of the electrons' path after only 4.5 cm. This length provides enough material past the fused joint to minimize strain on the joint resulting from the bend and fiber mounting straps, while also reducing the material in the line-of-fire that could result in backscatter.
 
The Tagger Microscope (TAGM) contains 17 optical fiber bundle, each consists of a 5x6 array of 30 fibers for a total of 510 fibers (5 rows, 102 columns). Figure 2 below shows the fiber array as viewed by the electrons passing through the tagger magnet focal plane. Each optical fiber consists of a 2 mm<sup>2</sup> x 2 cm BCF-20 scintillating fiber (SciFi) thermally fused to 2 mm<sup>2</sup> x 165 cm BCF-98 light guide, see Figures 3 & 4. The SciFi end of each fiber is thermally bent into an "S" shape to remove the fiber from the electrons' path soon after passing through the SciFi, see Figure 5. The fiber begins its bend out of the electrons' path after only 4.5 cm. This length provides enough material past the fused joint to minimize strain on the joint resulting from the bend and fiber mounting straps, while also reducing the material in the line-of-fire that could result in backscatter.
 
   
 
   
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</gallery>
 
</gallery>
  
 +
===<u>Popsicle Stick Limitations</u>===
 +
Placing the "Pivot Point" on the focal plane and only allowing +0.5 cm towards the tagger magnet the maximum crossing angle for the current bundle support design is &beta;<sub>max</sub> = 19.51<sup>o</sup>, while the minimum angle is &beta;<sub>min</sub> = 4.05<sup>o</sup>. This does not account for the most forward bundle mounting strap clamp and bolts, but they are lower in Z<sub>FP</sub> than the fibers and should not extend significantly past the 0.5 cm limit even at lower &beta; angles.
  
 
==Calculating Position of Each Bundle Support Mounting Rod==
 
==Calculating Position of Each Bundle Support Mounting Rod==
 
Up to 17 bundle supports can be mounted on the parallel railing system and instrumented in the TAGM. As the range of photon energies being tagged decreases (e.g. electron energy increases) the crossing angle (&beta; angle) of the electrons with the focal plane also decreases. The smaller the &beta; angle the more space along the X<sub>FP</sub> axis a bundle support will occupy. Below an E<sub>&gamma;</sub> of 6.5 GeV (&beta; = 9.5<sup>o</sup>) the length of the parallel railing system can only mount a maximum of 16 bundle supports.
 
Up to 17 bundle supports can be mounted on the parallel railing system and instrumented in the TAGM. As the range of photon energies being tagged decreases (e.g. electron energy increases) the crossing angle (&beta; angle) of the electrons with the focal plane also decreases. The smaller the &beta; angle the more space along the X<sub>FP</sub> axis a bundle support will occupy. Below an E<sub>&gamma;</sub> of 6.5 GeV (&beta; = 9.5<sup>o</sup>) the length of the parallel railing system can only mount a maximum of 16 bundle supports.
  
Since the &beta; angle changes across the TAGM energy range, a universal bundle support &beta; angle cannot be used. Starting with the most upstream bundle support (e.g. highest energy tagged photons) an initial bundle support angle is selected by taking the average of the crossing angles at the tagger magnet's focal plane for the electrons that pass through the center of the first and sixth fiber columns of that bundle. Recall that each bundle support holds an array of 5x6 fibers split into two 5x3 bundle halves. These halves are offset so that the bundle "pivot point" and the front center of each bundle half will all sit on the focal plane for a &beta; angle = 12<sup>o</sup>. The pivot point is located at the midpoint of the bundle halves offset and the boundary point of the bundle halves along the bundle support long axis. The long axis that lies along the bundle support centerline passes through the pivot point, front mounting rod, and rear mounting rod. This fact is exploited during the calculations to follow. The pivot point is solely determined from the bundle support's design (e.g. offset distance) and is essential for fiber alignment on the focal plane. Regardless of the bundle &beta; angle, if the focal plane passes through the bundle support's pivot point then the SciFi's will be at their optimal location with maximum fiber extension &plusmn; Y<sub>FP</sub> being the same.             
+
Since the &beta; angle changes across the TAGM energy range, a universal bundle support &beta; angle cannot be used. Starting with the most upstream bundle support (e.g. highest energy tagged photons) an initial bundle support angle is selected by taking the average of the crossing angles at the tagger magnet's focal plane for the electrons that pass through the center of the first and sixth fiber columns of that bundle. Recall that each bundle support holds an array of 5x6 fibers split into two 5x3 bundle halves. These halves are offset so that the bundle "pivot point" and the front center of each bundle half will all sit on the focal plane for &beta; = 12<sup>o</sup>. The pivot point is located at the midpoint of the bundle halves' offset and the boundary point of the two bundle halves (e.g. along the bundle support long axis). The long axis, which lies along the bundle support centerline, passes through the pivot point, front mounting rod, and rear mounting rod. This fact is exploited during the calculations to follow. The pivot point is solely determined from the bundle support's design (e.g. offset distance) and is essential for fiber alignment on the focal plane. Regardless of the bundle &beta; angle, if the focal plane passes through the bundle support's pivot point then the SciFi's will be at their optimal location with the magnitude of maximum fiber extension (&plusmn; Y<sub>FP</sub>) being the same.             
  
  
Once the &beta; angle for the first (upstream) bundle support is set, derived from the the starting photon tag energy, each subsequent bundle support has a &beta; angle offset from the previous one by a tow angle. Thus, as we look downstream from one bundle support to the next, the &beta; angle differ by -(tow angle). Adjacent bundle supports will come in contact with one another at the SciFi end and form a triangular gap along their adjacent sides based on the tow angle.
+
Once the &beta; angle for the first (upstream) bundle support is set, derived from the the starting photon tag energy, each subsequent bundle support has a &beta; angle offset from the previous one by a tow angle. Thus, as we look downstream from one bundle support to the next, the &beta; angles differ by -(tow angle). Adjacent bundle supports will come in contact with one another at the SciFi end and form a triangular gap along their adjacent sides based on the tow angle.
  
An Excel [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics spreadsheet(placeholder)] has been created to calculate the location of the bundle supports' mounting rods with respect to the focal plane coordinate system. This spreadsheet also calculates the length of the parallel railing end supports which need to be fabricated anew for each unique TAGM location on the focal plane. One last, but very important thing that the spreadsheet calculates is the shim size needed during TAGM realignment in order to achieve the proper tow angle between bundle supports during mounting. In addition to the spreadsheet, AutoCAD drawings corresponding to a tagging energy spectrum starting at: [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 11 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 10 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 9 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 8 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 7 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 6.5 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 6 GeV], [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 5.5 GeV], and [https://zeus.phys.uconn.edu/wiki/index.php/Student_Projects_in_Nuclear_Physics 5 GeV] have been created. These CAD files contain the parallel railing system setup arranged for the corresponding photon energy range. These files are in US standard units (inches) and to scale with a tolerance of &plusmn; 0.001 inch.   
+
An Excel [https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Bundle-Support-4-2021.xlsx spreadsheet] has been created to calculate the location of the bundle supports' mounting rods with respect to the focal plane coordinate system. This spreadsheet also calculates the length of the parallel railing end supports which need to be fabricated anew for each unique TAGM location on the focal plane. One last, but very important thing that the spreadsheet calculates is the shim size needed, during TAGM realignment, in order to achieve the proper tow angle between bundle supports during mounting. In addition to the spreadsheet, an AutoCAD [https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Parallel_Railing_Parts.dwg drawing] used to design the three parallel rail components needed for each unique tagging energy spectrum starting position of the TAGM and a [https://zeus.phys.uconn.edu/halld/tagger/TAGM-4-2021/Beta-Angle12_5-to-11_06deg_modified.dwg drawing] for the current setup (&beta; = 12.5<sup>o</sup> to 11.06<sup>o</sup>). These files are in US standard units (inches) and to scale with a tolerance of &plusmn; 0.001 inch.   
  
  
<u>A summary of the spreadsheet calculations is a follows:</u>
+
===<u>A summary of the spreadsheet calculations is on the following wiki page:</u>===
<ul>
 
  <li>Select a starting energy for the photon tagging array (highest &gamma; energy to tag)</li>
 
[[Image:Bundle_support_displacement.jpg|right|thumb|400px|Figure 16: Sketch showing the X-displacement along the focal plane (&Delta;x) from the center of the first fiber column to the center of the sixth fiber column of the first bundle support.]]
 
  <li>Using [https://halldweb.jlab.org/wiki/images/b/b6/Counterbounds2017%28b%29.xlsx hodoscope energy bin bounds] interpolate the crossing angle with respect to the focal plane (&beta;<sub>1</sub>) of an electron associated the highest energy to be tagged (starting E<sub>&gamma;</sub>)</li>
 
  <ul>
 
      <li> Interpolate the location on the X<sub>FP</sub> axis at which this electron crosses (X<sub>1</sub>)</li>
 
      <li> These electrons will pass through the center of the first column of SciFi fibers</li>
 
  </ul>
 
  
  <li>Using &beta;<sub>1</sub> calculate the X-displacement along the focal plane (&Delta;x) from the center of the first fiber column to the center of the sixth fiber column of the first bundle support</li>
+
[https://zeus.phys.uconn.edu/wiki/index.php/Calculating_the_move Calculating the move]
  <ul>
 
      <li>Add &Delta;x and X<sub>1</sub> to get X<sub>6</sub>, then interpolate the value of &beta;<sub>6</sub></li>
 
      <li>Using the average value of &beta;<sub>1</sub> and &beta;<sub>6</sub> (&beta;<sub>avg.</sub>), recalculate the X<sub>FP</sub> displacement (&Delta;x) from the center of the first to sixth fiber column (X<sub>6</sub>)</li>
 
      <li>Repeat the above two steps until the bundle support angle &beta; (e.g. average between &beta;<sub>1</sub> & &beta;<sub>6</sub>) does not change appreciably</li>
 
  </ul>
 
  
  
 +
[[Image:e_path_in_Bundle.png|center|thumb|800px|Figure 16: Sketch showing the path of electrons that pass through the center of the fiber columns near the focal plane. At the back-end of the 2 cm. SciFi a misalignment of around 0.03 mm (with respect the the fiber's axis) results from using an averaged &beta; angle for the bundle support location.]]
  
 +
==TAGM Move Parameters for various E<sub>&gamma;</sub> Starting Points==
 +
Using the calculations explained in [https://zeus.phys.uconn.edu/wiki/index.php/Calculating_the_move "Calculating the move" wiki page], the following parameters for a 6 GeV maximum tagged photon energy were determined.
  
Now we know the focal plane crossing locations for the first and sixth SciFi columns in our first bundle. Additionally, we know the &beta; angle of the first bundle (noted as &beta;<sub>avg</sub> above), which gives us the optimal alignment for each fiber in the bundle to their respective electron's path. The &beta; angles for the first and sixth columns will be off by the same magnitude, but with opposite signs.
 
  
[[Image:e_path_in_Bundle.png|center|thumb|800px|Figure 17: Sketch showing the path of electrons that pass through the center of the fiber columns near the focal plane. At the back-end of the 2 cm. SciFi a misalignment of around 0.03 mm (with respect the the fiber's axis) results from using an averaged &beta; angle for the bundle support location.]]
+
<center>
 +
<table border="8" cellspacing="0">
 +
  <tr>
 +
      <td colspan="3">
 +
        <table style="border: thin solid black;" cellspacing="0">
 +
            <tr>
 +
              <td align="left" valign="top">Starting E<sub>&gamma;</sub> = </td> <td align="center" valign="top"> 6.0</td> <td align="left" valign="top"> GeV</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Ending E<sub>&gamma;</sub> = </td> <td align="center" valign="top"> 4.475</td> <td align="left" valign="top"> GeV</td>
 +
            </tr>
  
The 5x6 fiber bundle supports were designed with two 5x3 bundle halves offset such that the center of the front face of the middle column in each bundle half would sit on the magnetic focal plane for a &beta; angle of 12.0<sup>o</sup>. This angle was selected as a compromise that would allow coverage through the photon energy range of 10 - 5.6 GeV. <i><u>As a side note</u> - If required and finances permit, the 17 bundle supports can be easily redesigned for a different &beta; angle. This redesign would take less than an hour of CAD work, with a manufacturing turn-around time in as little as two days. Costs are estimated to be around $2k. A CAD drawing of a new bundle support design already exists, which incorporates updated locations of the threaded holes for mounting the clamps that keep the bundle straps in place. The best time to replace/modify the bundle supports, if so desired, would be during fiber replacement. This way the new fibers can be mounted to the new bundle support outside the tagger hall, before ever making it to JLab. A conservative time estimate for changing the TAGM fiber configuration would be approximately two days (16 hours).</i>
+
            <tr>
 +
              <td align="left" valign="top">1<sup>st</sup> Bundle &beta;<sub>o</sub> Angle = </td> <td align="center" valign="top"> 9.246</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">1<sup>st</sup> Bundle Resolution = </td> <td align="center" valign="top"> 15.1</td> <td align="left" valign="top"> MeV</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Last Bundle &beta;<sub>f</sub> Angle = </td> <td align="center" valign="top"> 8.51</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Last Bundle Resolution = </td> <td align="center" valign="top"> 17.1</td> <td align="left" valign="top"> MeV</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">No. of Bundles Used = </td> <td align="center" valign="top"> 16</td> <td align="left" valign="top">Bundles </td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Tow Angle = </td> <td align="center" valign="top"> 0.049</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Tow Shim = </td> <td align="center" valign="top"> 0.0056</td> <td align="left" valign="top"> inches</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Forward Rail Pitch = </td> <td align="center" valign="top"> 0.035</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Rear Rail Pitch = </td> <td align="center" valign="top"> 0.118</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
  
Each bundle has a "pivot point" that when placed on the focal plane, provides the optimal y-displacement from the focal plane for each fiber column in that bundle without encroaching too close to the tagger magnet window. If the bundle &beta; angle &ne; 12<sup>o</sup>, then the 1<sup><u>st</u></sup> & 6<sup><u>th</u></sup>, 2<sup><u>nd</u></sup> & 5<sup><u>th</u></sup>, and 3<sup><u>rd</u></sup> & 4<sup><u>th</u></sup> fiber column pairs will have the same magnitude offset as one another from the focal plane in Y, but with opposite signs, see Figure 17. This is all provided that when the bundle support is mounted on the parallel railing system the tagger magnet's focal plane passes through the midpoint between the front and rear bundle halves (the so called pivot point).
+
            </table>
 +
        </td>
 +
      </tr>
 +
  </table>
 +
</center>
  
  
[[Image:popsicle_stick_fiber_angle_top_view.png|center|thumb|800px|Figure 18: Sketch showing the "pivot point" that should always sit on the focal plane to provide the optimal fiber alignment. The green line running through the pivot point represent the placement of the focal plane for a bundle support with &beta; = 12<sup>o</sup>, while the red line shows the placement for &beta; > 12<sup>o</sup>.]]
 
  
As shown in Figure 18 by the red and green lines, if &beta; &ne; 12<sup>o</sup> then the front face of the first column of SciFi no longer sits on the focal plane. This offset must be accounted for. The Excel spreadsheet starts by finding the optimal first bundle support crossing angle (&beta;<sub>avg</sub>) and places the front center of the first column of SciFi on the X<sub>FP</sub> location corresponding to E<sub>&gamma;<sub>o</sub></sub>. Depending on &beta;'s departure from 12<sup>o</sup> the pivot point will be displaced from the focal plane. The spreadsheet calculates the (&Delta;x, &Delta;y) needed to return the pivot point to the focal plane and keep the first fiber column's longitudinal axis on the E<sub>&gamma;<sub>o</sub></sub> electron's path. The spreadsheet's title for this is "Pivot Point Move" and the description is detailed below.
 
<i><u>NOTE:</u> &beta<sub>avg</sub> is used to determine this displacement. While the E<sub>&gamma;<sub>o</sub></sub> electron's &beta; angle differs slightly &beta<sub>avg</sub> and would keep the column's centerline on the proper electron path, this discrepancy is so small that it does not come close to the TAGM machining parts' tolerance. Additionally, the sixth column's &beta; angle has the same magnitude difference from the bundle support's &beta;, but with a different sign. For these reasons &beta;<sub>avg</sub> was used.</i>
 
 
 
<gallery caption="Pivot Point Move for &beta; &ne; 12 deg." widths="450px" heights="450px" class="center">
 
  popsicle_stick_pivot_point.png|Figure 19: Dimensions of the pivot point to the front center of the first column of fibers. The three 2 mm<sup>2</sup> boxes at the end of each 5x3 bundle half are <i>only</i> included to represent the width of a fiber column and have no meaning in length in the longitudinal axis direction.
 
  popsicle_stick_fiber_angle8.png|Figure 20: Dimensions of the pivot point to the front center of the first column of fibers. The three 2 mm<sup>2</sup> boxes at the 5x3 bundle half are <i>only</i> included to represent the width of a fiber column and have no meaning in length in the longitudinal axis direction.
 
  popsicle_stick_inch_angle.png|Figure 21: Dimensions of the bundle support as viewed from below. This view shows the location of the bundle support mounting rods at 2.75 in. and 8 in. from the front of the bundle support.
 
</gallery>
 
 
[[Image:Bundle_support_FP_shift.jpg|center|thumb|600px|Figure 22: Sketch showing the displacement needed to move the "pivot point" to the focal plane for &beta; &ne; 12<sup>o</sup>, while maintaining the first fiber column on the E<sub>&gamma;<sub>o</sub></sub> electron's path.]]
 
 
 
  <li>Assuming the center of the first fiber column's front face is on the focal plane where E<sub>&gamma;<sub>o</sub></sub> electron passes and the bundle support is placed at angle &beta;<sub>avg</sub>, use the difference between &beta;<sub>avg</sub> and 19.5072<sup>o</sup> to calculate the Y<sub>FP</sub> displacement required to place the focal plane back on the bundle support's pivot point</li>
 
  <ul>
 
      <li>The angle made by the first fiber column's longitudinal axis and a line from (X<sub>1</sub>, 0)<sub>FP</sub> to the pivot point is 19.5072<sup>o</sup></li>
 
      <li>The distance of the center of the first fiber column's front face to the bundle support's pivot point (in the (x, y)<sub>FP</sub> plane) is 0.5895 inches</li>
 
      <li>Note that if Beta angle > ~19.5<sup>o</sup> (e.g. > 10.86 GeV photons being tagged), then the pivot point will be below the focal plane; therefore, &Delta;y will be positive (bundle shifts towards the magnet, positive Y<sub>FP</sub> direction)</li>
 
  </ul>
 
  <li>Utilizing the y-displacement value and the tangent of &beta;<sub>avg</sub>, calculate the associated x-displacement along the focal plane to keep column #1 aligned to the electrons associated with  E<sub>&gamma;<sub>o</sub></sub></li>
 
  <li>Next determine the locations of the bundle support mounting rods in focal plane coordinates</li>
 
  <ul>
 
      <li>
 
  <li></li>
 
  <li></li>
 
  <li></li>
 
  <li></li>
 
 
</ul>
 
 
 
 
 
 
[[Image:popsicle_stick_pivot_point.png|center|thumb|600px|Figure : ]]
 
[[Image:popsicle_stick_fiber_angle9.png|center|thumb|600px|Figure : ]]
 
[[Image:popsicle_stick_inch_angle.png|center|thumb|600px|Figure : ]]
 
[[Image:popsicle_stick_fiber_angle8.png|center|thumb|600px|Figure : ]]
 
 
 
[[Image:Old-Popsicle-Stick-CAD-iso.png|center|thumb|600px|Figure : ]]
 
[[Image:Old-Popsicle-Stick-CAD-iso3.png|center|thumb|600px|Figure : ]]
 
[[Image:Old-Popsicle-Stick-CAD-top.png|center|thumb|600px|Figure : ]]
 
 
[[Image:Fiber_Array.png|center|thumb|1200px|Figure 9: Electron view of the TAGM scintillating fiber array.]]
 
 
<gallery caption="Transmission of scintillation light" widths="300px" heights="300px" class="center">
 
  Fiber_lg.jpg|Figure 10: An end view of a 2 mm<sup>2</sup> light guide fiber (BCF-98). A highly polished end such as the one shown here is required on the light guide end that interfaces with the SiPM for maximum light transmission.
 
  Fiber.png|Figure 11: Image of the mating joint of 2 cm. of scintillating fiber BCF-20 (left) joined to 165 cm. light guide fiber BCF-98 (right). This picture was taken during the prototyping phase when optical epoxy was used to mate the fibers, the current method of joining fibers uses thermal fusing.
 
</gallery>
 
 
[[Image:SciFi-on-Popsicle-Stick.png|center|thumb|400px|Figure 12: CAD image of a bundle support (blue) with a mounted 5x6 fiber bundle. The 'S' bend minimizes the amount of fiber in the path of the electrons.]]
 
 
 
 
[https://halldweb.jlab.org/wiki/images/e/e0/TaggerHodoscopeEnergy-1-2017.pdf Dan Sober Presentation]
 
 
==Final==
 
xxxxxxxxxxxxx
 
  
 
<center>
 
<center>
Line 237: Line 244:
 
         <table style="border: thin solid black;" cellspacing="0">
 
         <table style="border: thin solid black;" cellspacing="0">
 
             <tr>
 
             <tr>
               <td align="left" valign="top">Starting E<sub>&gamma;</sub> = </td> <td align="center" valign="top"> 11.0</td> <td align="left" valign="top"> GeV</td>
+
               <td align="left" valign="top">Starting E<sub>&gamma;</sub> = </td> <td align="center" valign="top"> 6.2</td> <td align="left" valign="top"> GeV</td>
 
             </tr>
 
             </tr>
 
             <tr>
 
             <tr>
               <td align="left" valign="top">Ending E<sub>&gamma;</sub> = </td> <td align="center" valign="top"> 11.0</td> <td align="left" valign="top"> GeV</td>
+
               <td align="left" valign="top">Ending E<sub>&gamma;</sub> = </td> <td align="center" valign="top"> 4.703</td> <td align="left" valign="top"> GeV</td>
 
             </tr>
 
             </tr>
  
 
             <tr>
 
             <tr>
               <td align="left" valign="top">1<sup>st</sup> Bundle &beta;<sub>o</sub> Angle = </td> <td align="center" valign="top"> 11.0</td> <td align="left" valign="top"> GeV</td>
+
               <td align="left" valign="top">1<sup>st</sup> Bundle &beta;<sub>o</sub> Angle = </td> <td align="center" valign="top"> 9.364</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">1<sup>st</sup> Bundle Resolution = </td> <td align="center" valign="top"> 14.7</td> <td align="left" valign="top"> MeV</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Last Bundle &beta;<sub>f</sub> Angle = </td> <td align="center" valign="top"> 8.605</td> <td align="left" valign="top"> degrees</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">Last Bundle Resolution = </td> <td align="center" valign="top"> 16.8</td> <td align="left" valign="top"> MeV</td>
 +
            </tr>
 +
            <tr>
 +
              <td align="left" valign="top">No. of Bundles Used = </td> <td align="center" valign="top"> 16</td> <td align="left" valign="top">Bundles </td>
 
             </tr>
 
             </tr>
 
             <tr>
 
             <tr>
               <td align="left" valign="top">Last Bundle &beta;<sub>f</sub> Angle = </td> <td align="center" valign="top"> 11.0</td> <td align="left" valign="top"> GeV</td>
+
               <td align="left" valign="top">Tow Angle = </td> <td align="center" valign="top"> 0.051</td> <td align="left" valign="top"> degrees</td>
 
             </tr>
 
             </tr>
 
             <tr>
 
             <tr>
               <td align="left" valign="top">No. of Bundles Used = </td> <td align="center" valign="top"> 17</td> <td align="left" valign="top">Bundles </td>
+
               <td align="left" valign="top">Tow Shim = </td> <td align="center" valign="top"> 0.0058</td> <td align="left" valign="top"> inches</td>
 
             </tr>
 
             </tr>
 
             <tr>
 
             <tr>
               <td align="left" valign="top">Tow Angle = </td> <td align="center" valign="top"> 11.0</td> <td align="left" valign="top"> <sup>o</sup></td>
+
               <td align="left" valign="top">Forward Rail Pitch = </td> <td align="center" valign="top"> 0.036</td> <td align="left" valign="top"> degrees</td>
 
             </tr>
 
             </tr>
 
             <tr>
 
             <tr>
               <td align="left" valign="top">Rail Pitch = </td> <td align="center" valign="top"> 11.0</td> <td align="left" valign="top"> <sup>o</sup></td>
+
               <td align="left" valign="top">Rear Rail Pitch = </td> <td align="center" valign="top"> 0.123</td> <td align="left" valign="top"> degrees</td>
 
             </tr>
 
             </tr>
  
Line 264: Line 283:
 
   </table>
 
   </table>
 
</center>
 
</center>
 
Table with coordinates here ...
 
 
*[http://zeus.phys.uconn.edu/~pratt/software/ablator.C '''AAAA.C: Text here.''']
 

Latest revision as of 13:30, 27 April 2021

Important Documents
Protolabs Quote → 6.2 GeV Move
Top-Plate(3D CAD) → 6.2 GeV Move
Upstream Bar(3D CAD) → 6.2 GeV Move
Downstream Bar(3D CAD) → 6.2 GeV Move
TAGM Move Calculation Spreadsheet
C++ File → Fit mounting rod positions
C++ File → List of current rod positions fit eqns.

Moving the Tagger Microscope Along the Focal Plane

Tagger Microscope

Figure 1: CAD image of the upper and lower enclosures of the Tagger Microscope made during the design phase.


Figure 4: Result of a MC simulation performed to predict the response of adjacent scintillating fiber columns due to fiber axis misalignment with respect to a post-bremsstrahlung electron's path. The solid line represents the response seen by the central fiber, while the dashed lines are the adjacent fibers' response.

The tagger microscope (TAGM) consists of six major components: upper enclosure, lower enclosure, optical fibers, electronics, shielding, and darkening shroud. As seen from the CAD image above, Figure 1, the lower enclosure houses the microscope's electronics, while the upper enclosure contains the optical fiber bundle supports (a.k.a. popsicle sticks). The bundle supports are used to align the scintillating fiber (SciFi) longitudinal axis to the incoming electron's path angle as it passes through the tagger magnet's focal plane. The designed angular tolerance, e.g. fiber to electron allowable angular error, is < 0.5o. MC simulations were performed to test the effect of various amounts of misalignment between the electron angle and the SciFi axis. Figure 4 shows a plot of one of these simulations with the solid line showing the scintillation response of the central fiber, while the dashed lines are the response for the adjacent fibers. A factor of three separation between adjacent signal amplitudes is achievable when alignment is < 3o. In order to achieve optimal alignment, similar to < 0.2o that was seen in bench tests, the SciFi end of the optical fibers are affixed to bundle supports (Figure 5) in the upper enclosure, with the light guide potion of the fiber extending down to silicon photomultipliers (SiPMs) located on preamplifier boards (Figure 6) in the lower enclosure.



Moving the TAGM to a new energy range not only involves the physical relocation of the microscope and its shielding along the tagger magnet's focal plane, but also requires internal realignment of the fiber, which is the subject of this page. The realignment of the scintillating fibers' longitudinal axes requires all 17 bundle supports to have new, individual crossing angles (β angle) with respect to the focal plane. These angles are derived from a table generated based on a TOSCA map of the post-bremsstrahlung electrons' crossing angles as they pass through the magnet's focal plane. Since the crossing angle changes with energy (e.g. displacement along the focal plane) each bundle support will have a slight "kick" or "tow" from the adjacent bundle support. The tow is typically on the order of 0.1o.

Since the bundle supports have varying β angles, the parallel railing system that holds these supports in place are no longer representative of their namesake. That is, the front and rear rails of the parallel railing system are not parallel to each other and have a pitch with respect to one another. Figure 7 is a pictorial explanation of this and shows that for two equal length rails (front & rear), the length of the upstream and downstream alignment bars differ by 0.039 ± 0.001 in. at a starting photon energy (Eγ) with a required tow of 0.09o between bundle supports. For each individual photon energy range covered by the microscope, or more simply stated for each energy that the microscope starts at, a new pitch for the parallel rails must be determined and three components (upstream alignment bar, downstream alignment bar, and upstream guide plate) unique to that starting energy must be fabricated. For this reason CAD drawings, an Excel spreadsheet, and this wiki page were created to provide the information needed to realign and move the TAGM to any starting photon energy between 11 and 5 GeV. The turnaround time for the machining components is typically five to seven days, while the realignment of fibers will take no more than two days with inexperienced workers.

Figure 7: Pictorial representation of the alignment of the front and rear rails of the parallel railing system, which supports and aligns the optical fiber bundle supports along the tagger magnet's focal plane. The red circles represent the locations of the support rods that extend below the bundle supports and are used to secure them to the railings. This representative image was created from a 3D CAD drawing of the microscope which has a precision of ± 0.001 in.

Coordinate System

There are three coordinate systems often referred to inside the GlueX Tagger Hall. These coordinate systems have origins associated with the Goniometer center (room coordinates), Tagger Magnet center (map coordinates), and the focal plane (FP coordinates). The room coordinate system has the positive z-coordinate along the beam axis with the positive y direction pointing to the ceiling of the tagger hall from the coordinates origin placed at the Goniometer's center, where the beamline radiator is located. Figure 1 shown below, taken from a presentation by Dan Sober, shows the three coordinate systems relative to one another. The map coordinate system (magnetic mapping) places the y-coordinate along the long axis of the magnet with the positive x-axis parallel to the tagger hall floor in the direction of the focal plane. the positive z-axis of the map coordinate system points toward the tagger hall ceiling. When viewed from above the map y-coordinate is offset from the room coordinate z-axis by 6.5 degrees towards the focal plane (clockwise). The focal plane coordinate system places its x-axis along the electron focal plane with zero being at an electron energy equivalent to a photon energy around 11.7 GeV. The positive x-axis points toward increasing electron energy (decreasing photon energy). The positive y-axis of the focal plane coordinate system points towards the tagger magnet and is parallel to the tagger hall floor. This leaves the focal plane positive z-axis pointing towards the tagger hall ceiling.

Figure 8: The three coordinate systems often referred to in association with the Tagger Hall. (Image taken from a Dan Sober Presentation)


In Spring 2017 a survey of the various beamline components saw a small change in the Tagger Microscope position. The Microscope (upstream center) position derived from this survey is shown below and includes a magnet center shift from previous measurements.

Spring 2017
Survey of Tagger Microscope Position
(Upstream Center)
X room = - 1.16666 m
Z room = 7.41009 m
Angle room = - 8.05220o


Updated 2017 Coordinates
(with magnet center shift)
Xmap = 0.73488 m
Ymap = 1.22645 m
XFP = 3.31245 m
YFP = -0.00932 m


e- Focal Plane Crossing
(for e- that will pass through the
center of the 1st column's face)
XFP = 3.26198 m
YFP = 0.0 m
Eγ = 9.201 GeV
β = 12.695o


Bundle Support (a.k.a. Popsicle Stick)

The Tagger Microscope (TAGM) contains 17 optical fiber bundle, each consists of a 5x6 array of 30 fibers for a total of 510 fibers (5 rows, 102 columns). Figure 2 below shows the fiber array as viewed by the electrons passing through the tagger magnet focal plane. Each optical fiber consists of a 2 mm2 x 2 cm BCF-20 scintillating fiber (SciFi) thermally fused to 2 mm2 x 165 cm BCF-98 light guide, see Figures 3 & 4. The SciFi end of each fiber is thermally bent into an "S" shape to remove the fiber from the electrons' path soon after passing through the SciFi, see Figure 5. The fiber begins its bend out of the electrons' path after only 4.5 cm. This length provides enough material past the fused joint to minimize strain on the joint resulting from the bend and fiber mounting straps, while also reducing the material in the line-of-fire that could result in backscatter.

Figure 9: Electron view of the TAGM scintillating fiber array.
Figure 12: CAD image of a bundle support (blue) with a mounted 5x6 fiber bundle. The 'S' bend minimizes the amount of fiber in the path of the electrons.


Popsicle Stick Limitations

Placing the "Pivot Point" on the focal plane and only allowing +0.5 cm towards the tagger magnet the maximum crossing angle for the current bundle support design is βmax = 19.51o, while the minimum angle is βmin = 4.05o. This does not account for the most forward bundle mounting strap clamp and bolts, but they are lower in ZFP than the fibers and should not extend significantly past the 0.5 cm limit even at lower β angles.

Calculating Position of Each Bundle Support Mounting Rod

Up to 17 bundle supports can be mounted on the parallel railing system and instrumented in the TAGM. As the range of photon energies being tagged decreases (e.g. electron energy increases) the crossing angle (β angle) of the electrons with the focal plane also decreases. The smaller the β angle the more space along the XFP axis a bundle support will occupy. Below an Eγ of 6.5 GeV (β = 9.5o) the length of the parallel railing system can only mount a maximum of 16 bundle supports.

Since the β angle changes across the TAGM energy range, a universal bundle support β angle cannot be used. Starting with the most upstream bundle support (e.g. highest energy tagged photons) an initial bundle support angle is selected by taking the average of the crossing angles at the tagger magnet's focal plane for the electrons that pass through the center of the first and sixth fiber columns of that bundle. Recall that each bundle support holds an array of 5x6 fibers split into two 5x3 bundle halves. These halves are offset so that the bundle "pivot point" and the front center of each bundle half will all sit on the focal plane for β = 12o. The pivot point is located at the midpoint of the bundle halves' offset and the boundary point of the two bundle halves (e.g. along the bundle support long axis). The long axis, which lies along the bundle support centerline, passes through the pivot point, front mounting rod, and rear mounting rod. This fact is exploited during the calculations to follow. The pivot point is solely determined from the bundle support's design (e.g. offset distance) and is essential for fiber alignment on the focal plane. Regardless of the bundle β angle, if the focal plane passes through the bundle support's pivot point then the SciFi's will be at their optimal location with the magnitude of maximum fiber extension (± YFP) being the same.


Once the β angle for the first (upstream) bundle support is set, derived from the the starting photon tag energy, each subsequent bundle support has a β angle offset from the previous one by a tow angle. Thus, as we look downstream from one bundle support to the next, the β angles differ by -(tow angle). Adjacent bundle supports will come in contact with one another at the SciFi end and form a triangular gap along their adjacent sides based on the tow angle.

An Excel spreadsheet has been created to calculate the location of the bundle supports' mounting rods with respect to the focal plane coordinate system. This spreadsheet also calculates the length of the parallel railing end supports which need to be fabricated anew for each unique TAGM location on the focal plane. One last, but very important thing that the spreadsheet calculates is the shim size needed, during TAGM realignment, in order to achieve the proper tow angle between bundle supports during mounting. In addition to the spreadsheet, an AutoCAD drawing used to design the three parallel rail components needed for each unique tagging energy spectrum starting position of the TAGM and a drawing for the current setup (β = 12.5o to 11.06o). These files are in US standard units (inches) and to scale with a tolerance of ± 0.001 inch.


A summary of the spreadsheet calculations is on the following wiki page:

Calculating the move


Figure 16: Sketch showing the path of electrons that pass through the center of the fiber columns near the focal plane. At the back-end of the 2 cm. SciFi a misalignment of around 0.03 mm (with respect the the fiber's axis) results from using an averaged β angle for the bundle support location.

TAGM Move Parameters for various Eγ Starting Points

Using the calculations explained in "Calculating the move" wiki page, the following parameters for a 6 GeV maximum tagged photon energy were determined.


Starting Eγ = 6.0 GeV
Ending Eγ = 4.475 GeV
1st Bundle βo Angle = 9.246 degrees
1st Bundle Resolution = 15.1 MeV
Last Bundle βf Angle = 8.51 degrees
Last Bundle Resolution = 17.1 MeV
No. of Bundles Used = 16 Bundles
Tow Angle = 0.049 degrees
Tow Shim = 0.0056 inches
Forward Rail Pitch = 0.035 degrees
Rear Rail Pitch = 0.118 degrees



Starting Eγ = 6.2 GeV
Ending Eγ = 4.703 GeV
1st Bundle βo Angle = 9.364 degrees
1st Bundle Resolution = 14.7 MeV
Last Bundle βf Angle = 8.605 degrees
Last Bundle Resolution = 16.8 MeV
No. of Bundles Used = 16 Bundles
Tow Angle = 0.051 degrees
Tow Shim = 0.0058 inches
Forward Rail Pitch = 0.036 degrees
Rear Rail Pitch = 0.123 degrees