4.12 Calculated Responses of HISCALE Sensors to Omnidirectionally Penetrating Cosmic Galactic 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