On construction of time Cherenkov detectors with optimal algorithm of well-defined reconstruction of muon trajectory

A general condition for unambiguous reconstruction of muon track azimuth angle imposed on the structure of both time and amplitude detectors was revealed analytically. Two designs of the Cherenkov time detectors permitting reconstruction of all parameters of muon trajectory and subdivision of the derived system of equations into two independent systems of equations, featuring lower dimensions, in contrast to conventionally used chain of detectors, were suggested. Optimal algorithms of muon trajectory parameters calculation using the subdivision mentioned were found