Method for a reconstruction of the muon longitudinal and lateral distributions in hadronic extensive air showers

A method for a complementary use of the muon density and angle-of-incidence experimental distributions for the reconstruction of the muon lateral dist ribution function (LDF) and height-of-origin distribution (HOD) for showers in the knee energy region, is proposed. The method is based on the represe ntation (in our previous work) of the muon LDF as an integral transformatio n of the HOD. The corresponding inverse problems are formulated and a possi ble way to solve them is proposed. The method is applied to simulated showe rs, demonstrating the advantages in using the muon density and track inform ation complementary.