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→A summary of the spreadsheet calculations is a follows:
===<u>A summary of the spreadsheet calculations is a follows:</u>===
===<u>A summary of the spreadsheet calculations is a follows:</u>===
[[Image:Bundle_support_displacement.jpg|right|thumb|475px|Figure 16: Sketch showing the X-displacement along the focal plane (Δx) from the center of the first fiber column to the center of the sixth fiber column of the first bundle support.]]
[[Image:Bundle_support_displacement.jpg|right|thumb|475px|Figure 16: Sketch showing the X-displacement along the focal plane (Δx) from the center of the first fiber column to the center of the sixth fiber column of the first bundle support.]]
<ul>
<ul>
<li>Select a starting energy for the photon tagging array (highest γ energy to tag)</li>
<li style="padding-bottom: 16px;">Select a starting energy for the photon tagging array (highest γ energy to tag)</li>
<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 (β<sub>1</sub>) of an electron associated the highest energy to be tagged (E<sub>γ<sub>o</sub></sub>)</li>
<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 (β<sub>1</sub>) of an electron associated the highest energy to be tagged (E<sub>γ<sub>o</sub></sub>)</li>
<ul>
<ul>
<li> Interpolate the location on the X<sub>FP</sub> axis at which this electron crosses (X<sub>1</sub>)</li>
<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>
<li style="padding-bottom: 16px;"> These electrons will pass through the center of the first column of SciFi fibers</li>
</ul>
</ul>
<li>Use the difference between β<sub>avg</sub> and 19.5072<sup>o</sup></li>
<li>Use the difference between β<sub>avg</sub> and 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>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 β > ~19.5<sup>o</sup> (e.g. > 10.86 GeV photons being tagged), then the pivot point will be below the focal plane; therefore, Δy will be positive (bundle shifts towards the magnet, positive Y<sub>FP</sub> direction)</li>
<li style="padding-bottom: 16px;">Note that if β > ~19.5<sup>o</sup> (e.g. > 10.86 GeV photons being tagged), then the pivot point will be below the focal plane; therefore, Δy will be positive (bundle shifts towards the magnet, positive Y<sub>FP</sub> direction)</li>
</ul>
</ul>
<li>Utilizing the y-displacement value found above and the tangent of β<sub>avg</sub>, calculate the associated x-displacement along the focal plane to keep column #1 aligned to the electrons associated with E<sub>γ<sub>o</sub></sub></li>
<li style="padding-bottom: 16px;">Utilizing the y-displacement value found above and the tangent of β<sub>avg</sub>, calculate the associated x-displacement along the focal plane to keep column #1 aligned to the electrons associated with E<sub>γ<sub>o</sub></sub></li>
<li>Next determine the locations of the bundle support mounting rods in focal plane coordinates</li>
<li>Next determine the locations of the bundle support mounting rods in focal plane coordinates</li>
<ul>
<ul>
<b><center>Since the post-bremsstrahlung electron's 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.</center>
<b><center>Since the post-bremsstrahlung electron's 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.</center>
<center>Simply put, going from upstream [highest E<sub>γ</sub>] to downstream [lowest E<sub>γ</sub>], subsequent bundle supports will have smaller and smaller β<sub>avg</sub>'s.</center></b>
<center>Simply put, going from upstream [highest E<sub>γ</sub>] to downstream [lowest E<sub>γ</sub>], subsequent bundle supports will have smaller and smaller β<sub>avg</sub>'s.</center></b>
<li></li>
<li style="padding-bottom: 16px;"></li>
<li></li>
<li style="padding-bottom: 16px;"></li>
</ul>
</ul>
[[Image:Tow_Move.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.]]
[[Image:Tow2.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.]]
[[Image:Tow3.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.]]