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As shown in Figure ??? 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.  
 
As shown in Figure ??? 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>
 
<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>
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<gallery caption="Pivot Point Move for &beta; &ne; 12 deg." widths="350px" heights="350px" class="center">
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  popsicle_stick_pivot_point.png|Figure ???: 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.
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  popsicle_stick_fiber_angle9.png|Figure ???: 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.
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  popsicle_stick_inch_angle.png|Figure ???: 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.
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  popsicle_stick_fiber_angle8.png|Figure ???: 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.
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</gallery>
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[[Image:Bundle_support_FP_shift.jpg|center|thumb|600px|Figure : 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.]]
      
<gallery caption="Bundle Support for a 5x6 Array of Fibers" widths="350px" heights="350px" class="center">
 
<gallery caption="Bundle Support for a 5x6 Array of Fibers" widths="350px" heights="350px" class="center">
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</gallery>
 
</gallery>
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[[Image:popsicle_stick_pivot_point.png|center|thumb|600px|Figure : ]]
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<gallery caption="Pivot Point Move for &beta; &ne; 12 deg." widths="450px" heights="450px" class="center">
[[Image:popsicle_stick_fiber_angle9.png|center|thumb|600px|Figure : ]]
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  popsicle_stick_pivot_point.png|Figure ???: 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.
[[Image:popsicle_stick_inch_angle.png|center|thumb|600px|Figure : ]]
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  popsicle_stick_fiber_angle8.png|Figure ???: 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.
[[Image:popsicle_stick_fiber_angle8.png|center|thumb|600px|Figure : ]]
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  popsicle_stick_inch_angle.png|Figure ???: 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.
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</gallery>
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[[Image:Bundle_support_FP_shift.jpg|center|thumb|600px|Figure : 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.]]
[[Image:Old-Popsicle-Stick-CAD-iso.png|center|thumb|600px|Figure : ]]
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[[Image:Old-Popsicle-Stick-CAD-iso3.png|center|thumb|600px|Figure : ]]
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[[Image:Old-Popsicle-Stick-CAD-top.png|center|thumb|600px|Figure : ]]
      
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[[Image:popsicle_stick_pivot_point.png|center|thumb|600px|Figure : ]]
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[[Image:popsicle_stick_fiber_angle9.png|center|thumb|600px|Figure : ]]
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[[Image:popsicle_stick_inch_angle.png|center|thumb|600px|Figure : ]]
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[[Image:popsicle_stick_fiber_angle8.png|center|thumb|600px|Figure : ]]
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[[Image:Old-Popsicle-Stick-CAD-iso.png|center|thumb|600px|Figure : ]]
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[[Image:Old-Popsicle-Stick-CAD-iso3.png|center|thumb|600px|Figure : ]]
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[[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.]]
 
[[Image:Fiber_Array.png|center|thumb|1200px|Figure 9: Electron view of the TAGM scintillating fiber array.]]
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