  We have investigated some features of the density and arrival time
distributions of Cherenkov photons in extensive air showers using the CORSIKA
simulation package. The main thrust of this study is to see the effect of
hadronic interaction models on the production pattern of Cherenkov photons with
respect to distance from the shower core. Such studies are very important in
ground based $\gamma$-ray astronomy for an effective rejection of huge cosmic
ray background, where the atmospheric Cherenkov technique is being used
extensively within the energy range of some hundred GeV to few TeV. We have
found that for all primary particles, the density distribution patterns of
Cherenkov photons follow the negative exponential function with different
coefficients and slopes depending on the type of primary particle, its energy
and the type of interaction model combinations. Whereas the arrival time
distribution patterns of Cherenkov photons follow the function of the form $t
(r) = t_{0}e^{\Gamma/r^{\lambda}}$, with different values of the function
parameters. There is no significant effect of hadronic interaction model
combinations on the density and arrival time distributions for the $\gamma$-ray
primaries. However, for the hadronic showers, the effects of the model
combinations are significant under different conditions.
