Investigation of Maximum Depth for Cherenkov Radiation at Energies above 1014 eV

The CORSIKA code will be used to simulate a part of an Extensive Air Shower (EAS) that describes the lateral distribution function (LDF) with the Yakutsk array for Cherenkov photons. The EAS development has been estimated for several primary particles including oxygen, helium, and proton (O2, He, and H) in the vicinity of the knee region of the cosmic ray energy spectrum with energies above 1014 eV for zenith angle ≤ 50˚. Several shower beam simulations of the mentioned particles were performed at high energies for different vertical and inclined zenith angles. One of the purposes of our work is the reconstruction of Cherenkov photons LDF by depending on the Peak Function (Gauss Mod) through a parameterization as a function of the zenith angle, using the Yakutsk array for several primary particles at various zenith angles for air shower observables. At energies above 1014 eV, the calculated lateral distribution function of Cherenkov photons aligns closely with the experimental data from the Yakutsk array.