Fundamental TechnologiesUlysses HISCALE Pages 
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 4pi Viewing and Sectoring Relationships
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Updated 4/23/09, T. HuntWard
Figure reconstruction by T. Manweiler.