Parameter optimization of a stationary deepwater amplitude cerenkov muon detector

A condition that should be met in the design of both amplitude and temporal detectors for the muon track azimuth to be uniquely recovered is analytically found. An optimal algorithm for muon track reconstruction with an amplitude Cerenkov detector is elaborated. The optimization involves not only the design of the detector but also statistical methods for estimating auxiliary muon track parameters. An original procedure for computing the confidence interval of the muon track parameters is suggested. This procedure is based on the algorithm used for solving the nonlinear programming problem.