Detector geometry and directional flux distributions

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmic Rays, Particle Flux Density, Radiation Detectors, Anisotropy, Particle Density (Concentration), Spherical Harmonics

Scientific paper

The reported investigation is concerned with the integrating effect of detector geometries over directions in the measurement of particle flux distributions in space. A three-dimensional approach is used in the investigation. The flux is represented by an expansion in terms of spherical harmonic functions of the polar coordinates in a space-fixed coordinate system. The obtained expression is transformed to a detector-fixed frame. A graph is provided showing the relative correction factors up to the fourth order as a function of the detector opening angle with zero detector area.

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