Based on a simple consideration, the kick approximation used by Sundar
am et al. in describing the interactions between super intense laser f
ield and single atom is modified. Two different phase factors of the t
wo kicks during one optical period are considered. It is found that we
can introduce the factors in a very simple way and derive a new map w
hich can be written in a closed form, and that to include these factor
s really improves the dynamical description of the system.