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Readout electronics and the radial cabling are modeled as disks at the ends of the sensors.
At the ends of each sensor layer are G10 rings with a radial thickness of 0.2cm and a thickness in z of 0.498cm.
The rings have an inner |z| position of 6.25cm and the inner radii are the same as the sensors.
Radial cables are modeled as Cu disks with an inner |z| of 6.90cm and radial spans and thicknesses given by the following table:
Inner radius Radius | Outer radius Radius | Thickness |
|---|---|---|
1.32cm | 2.26cm | 0.0057cm |
2.26cm | 3.54cm | 0.0031cm |
3.54cm | 4.80cm | 0.0016cm |
4.80cm | 6.04cm | 0.0007cm |
There are four forward disks on either end, composed of a total of .0113cm of silicon, of which the inner .002cm is sensitive.
All of the disks extend to a maximum radius of 7.5cm.
The innner |z| positions and inner radii for the four disks are:
|z| | inner radius Inner Radius |
|---|---|
7.6cm | 1.6cm |
9.5cm | 1.6cm |
12.5cm | 2.0cm |
18.0cm | 2.0cm |
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The tracker is composed of five cylindrical barrels with four disk-shaped endplanes. The z extent of the barrels increases with radius and the endplane for each extends beyond its cylinder in radius to provide overlap. The sensitive medium is silicon, assembled into carbon-fiber/Rohacell/PEEK modules and read out via a bump-bonded chip and Kapton/Copper cables. These modules are supported by carbon-fiber/Rohacell/carbon-fiber barrels or disks. Each barrel cylinder is supported from the next barrel out by an annular carbon fiber-ring. Outside each of these support rings in z, G10/Copper printed circuit boards are mounted for power and readout distribution to all silicon modules in a layer.
Barrels:
The radii and |z| extent of the barrel silicon are:
Layer layer | Inner Radius | |z| Extent | inner radius |
|---|---|---|---|
1 | 55 21.8 8cm 21 | 55.8 8cm | |
2 | 82 46.5 8cm 46 | 82.8 5cm | |
3 108 | 71.3 8cm 71 | 108.8 3cm | |
4 | 134 96.7 8cm 96 | 134.8 7cm | |
5 | 160 121.6 8cm 121 | 160.8 6cm |
The estimated material thickness for modules, silicon, readout, and cables are averaged over the barrel and are given by:
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The barrel support cylinders are composed of .025cm CarbonFiber, 0.8cm of Rohacell31 and 0.025cm CarbonFiber. The inner radii and |z| extent are given by:
The sensor modules for the barrel are single-sided and have 0.03cm of silicon mounted on CarbonFiber/Rohacell31 frames that clip into PEEK (Polyetheretherketone) mounts. The average thickness of the CarbonFiber, Rohacell31 and PEEK in the modules of each barrel layer are 0.016cm, 0.14cm and 0.02cm repectively. The average thicknesses of the readout materials are 0.00048cm of Silicon, 0.0064cm of Kapton and 0.00065cm of Copper, however, the thickness of the cable material varies by layer.
Endcap:
The z positions and radial extents of the endcap silicon are:
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layer
...
z
...
inner radius
...
outer radius
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1 inner
...
28.7
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3.4
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23.0
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1 outer
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29.1
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3.4
...
23.0
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2 inner
...
62.8
...
7.4
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48.6
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2 outer
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63.2
...
7.4
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48.6
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3 inner
...
96.8
...
11.4
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74.1
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3 outer
...
97.2
...
11.4
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74.1
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4 inner
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130.9
...
15.5
...
99.7
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4 outer
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131.3
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15.5
...
99.7
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5 inner
...
165.0
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19.5
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125.3
Layer | Inner Radius | |z| Extent |
|---|---|---|
1 | 20.6cm | 57.7cm |
2 | 45.6cm | 84.3cm |
3 | 70.6cm | 110.2cm |
4 | 95.6cm | 136.6cm |
5 | 120.6cm | 162.4cm |
Endcap:
The forward disks have two sensors per layer that are slightly displaced in |z|. The table below shows the radial extant of the disks and the inner |z| position for the "A" and "B" sensor planes.
Layer | Inner Radius | Outer Radius | |z| for A Plane | |z| for B Plane |
|---|---|---|---|---|
1 | 20.7cm | 49.4cm | 85.6cm | 85.8cm |
2 | 20.7cm | 74.7cm | 111.5cm | 111.7cm |
3 | 20.7cm | 99.9cm | 137.9cm | 138.1cm |
4 | 20.7cm | 125.0cm | 163.7cm | 163.9cm |
Each A plane has the following material:
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5 outer
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165.4
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19.5
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where each layer is composed of double-sided sensor modules to measure coordinates in two views. The forward disk supports are composed of .039cm CarbonFiber, 1.2cm Rohacell31 and 0.039cm of CarbonFiber. The sensor modules mounted outside of the disks are double-sided and have 0.03cm of silicon mounted on either side of CarbonFiber/Rohacell31 frames that clip into PEEK (Polyetheretherketone) mounts. The average thickness of the CarbonFiber, Rohacell31 and PEEK in the modules of each disk double-layer is assumed to be the same as that for the barrel modules. The average thicknesses of the readout material are also assumed to be the same, but are repeated on both sides of the modules for double-sided readout.
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