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A new Cherenkov muon spectrometer using diversely sized C3F8 gas radiatorsand nonlinear threshold muon momentum levels was studied using Geant4simulations. Despite its compact size (<1m3), the performance of thespectrometer was significantly improved over the earlier design (linear anduniform) in two aspects, (i) a stable momentum measurement resolution and (ii)a balanced expected Cherenkov photon yields in all radiators. In addition, CO2gas radiators are replaced by heavier gas radiators, C3F8, and the sizes ofradiators for high momentum levels (low gas pressure) are enlarged to increasethe Cherenkov photon yields. Specifically, the absolute momentum resolution,{\sigma}p, for all levels is replaced by the relative momentum resolution,{\sigma}p/p. To demonstrate the functionality of our proposed Cherenkov muonspectrometer, we presented the results of classification rates as a function ofmuon momentum with various discriminator levels and reconstructed cosmic raymuon spectrum. When the combination of two or more discriminators are used, theaverage classification rate is 90.08%. In addition, our proposed Cherenkov muonspectrometer successfully reconstructed the cosmic ray muon spectrum and theresults show a good agreement with the actual spectrum within 1{\sigma} in mostmomentum levels.

Non-linear Cherenkov Muon Spectrometer Using Multi-Layer Pressurized C3F8 Gas Radiators