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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.
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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.             
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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; = 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.             
     
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