A numerical method is proposed to calculate the response of detectors measuring particle energies from incident isotropic fluxes of electrons and positive ions. The isotropic flux is generated by injecting particles moving radially inward on a hypothetical, spherical surface encompassing the detectors. A geometric projection of the field-of-view from the detectors onto the spherical surface allows for the identification of initial positions and momenta corresponding to the clear field-of-view of the detectors. The contamination of detector responses by particles penetrating through, or scattering off, the structure is also similarly identified by tracing the initial positions and momenta of the detected particles. The relative contribution from the contaminating particles is calculated using GEANT4 to obtain the geometric factor of the instrument as a function of the energy. This calculation clearly shows that the geometric factor is a strong function of incident particle energies. The current investigation provides a simple and decisive method to analyze the instrument geometric factor, which is a complicated function of contributions from the anticipated field-of-view particles, together with penetrating or scattered particles.

Abstract
1. INTRODUCTION
2. NUMERICAL METHODS
    2.1. Initial Condition
    2.2. Configuration
    2.3. Geometric Factor
    2.4. Data Classification
3. RESULTS AND DISCUSSIONS
4. CONCLUSIONS
REFERENCES

• Sungmin Pak(School of Space Research, Kyung Hee University)
• Yuchul Shin(School of Space Research, Kyung Hee University)
• Ju Woo(School of Space Research, Kyung Hee University)
• Jongho Seon(School of Space Research, Kyung Hee University) Corresponding author