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1.2.9 Muographically Averaged Densimetric Thickness and Muographically Averaged Geometric Thickness

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Since the detectors always have an angular resolution (Δθ, Δϕ), the transmitted muon flux measured in one image pixel is an integration of the flux of the muons that had passed through different regions in the target object. The transmitted flux averaged over the angle range θ ±Δθ and ϕ ±Δϕ, < N >, can be directly compared with the observed flux in the pixel of the muographic images. Inversely, if < N > is given, the muographically averaged densimetric thickness (MADT), < X >, can be uniquely determined by inserting < N > into equation 1.2. The muographically averaged geometric thickness (MAGT) is defined by <X>/ ρ. The MAGT is therefore different from the arithmetically averaged rock thickness (Tanaka, 2020a).

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