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4.12 Calculated Responses of HISCALE Sensors to Omnidirectionally Penetrating Galactic Cosmic Rays

Document Source: James Tappin and Dennis Haggerty

4.12.1 Numerical Simulation of HISCALE Response to Galactic Cosmic Rays

This simulation models isotropic flux through a cylindrical detector. The dimensions of the detector are: radius = 5652 mm, thickness = 200 mm. The simulation determines the distance traveled in the detector for each randomly entering particle. For clarity the results have been placed in three separate categories. They are:

Case 1 - Top entering particles leaving through the detector side.
Case 2 - Top entering particles leaving through the bottom.
Case 3 - Side entering particles leaving through a side.

The energy deposition due to these particles can be determined by the equation:

Energy = 0.466 keV/Micron * Penetration distance

The slope of the graph is approximately 3.

Figure 4.84 Cosmic ray case 2 (top) and case 3 (side)

Figure 4.85 Cosmic ray case 1 (oblique) and total

Figure 4.86 Calculations of penetration geometry, part I

tan g=L/T
L=T tan g
A=L cos q
B=L sin q

A=T tan g cos q
B=T tan g sin q

 

If r' > r             case 1
Else r' <= r      case 2

Figure 4.87 Calculations of penetration geometry, part II

CASE 1: Projection through side



CASE 2: Projection through bottom

Next: 4.13 Summary of HISCALE 4-pi Viewing and Sectoring Relationships

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Updated 4/23/09, T. Hunt-Ward
Figure reconstruction by T. Manweiler.