Parameterization of Cherenkov Light Lateral Distribution Function as a Function of the Zenith Angle around the Knee Region

TL;DR

This paper develops a parameterization of Cherenkov light lateral distribution as a function of distance and zenith angle for extensive air showers, based on CORSIKA simulations around the knee region.

Contribution

It introduces a new parameterization method for Cherenkov light distribution depending on zenith angle and distance, validated against simulations.

Findings

Parameterization matches simulation results at tested angles.

Effective for primary proton showers at 3×10^15 eV.

Provides a tool for analyzing Cherenkov light in EAS.

Abstract

Cherenkov light lateral distribution function (CLLDF) simulation was fulfilled using CORSIKA code for configurations of Tunka EAS array of different zenith angles. The parameterization of the CLLDF was carried out as a function of the distance from the shower core in extensive air showers (EAS) and zenith angle on the basis of the CORSIKA simulation of primary proton around the knee region with the energy 3.10^15 eV at different zenith angles. The parameterized CLLDF is verified in comparison with the simulation that performed using CORSIKA code for two zenith angles.