Lateral Distribution Function of Extensive Air Showers Cherenkov Light and Stable Laws: Fast Modelling Method for the CORSIKA Code

Abstract

The paper proposes a new approach for approximating the lateral distribution functions (LDF) of Cherenkov light emitted by the electromagnetic component of extensive air showers (EAS) in the Earth's atmosphere. The information basis of the study is a series of simulations with the CORSIKA code. To approximate the LDF atmospheric Cherenkov light the probability density functions of one-dimensional fractional stable distributions were used. The results obtained in the work allow us to propose a fast modeling method for the CORSIKA code using a procedure similar to the Nishimura-Kamata-Greisen (NKG) for calculating the LDF of the EAS electromagnetic component.