The nonperturbative response of atomic systems under strong laser radi
ation has been an important area of research both experimentally and t
heoretically. In a typical experiment, a very high power laser (operat
ing at an intensity of the order of 10(13) W/cm2 or higher, delivering
1 mum wavelength light pulses with duration from a few pico-seconds d
own to a few hundred femto-seconds) is focused down to a tight spot in
space filled with dilute gas where ionization occurs. These experimen
ts have been successful in studying the single-atom strong-field physi
cs where the predictions of ionization based on low-field perturbation
theory are invalid. Various theories have been used to explain new ef
fects associated with different intensity regions. In this review we i
ntend to summarize the steps for arriving at a new theoretical predict
ion of atoms in laser pulses of intensity 10(16) W/cm2 or stronger. Th
e prediction that atoms tend to stabilize in laser pulses strong enoug
h to produce full ionization is rather counter-intuitive. The phenomen
on of atomic stabilization will be introduced through space-time integ
ration of Schrodinger equation. A more quantitative account of the ass
ociated effects during a stabilization will be analyzed through a simp
lified one-dimensional long-range potential. To further understand the
features of stabilization, a one-dimensional short-range potential is
also employed. We will mention some possible experimental consequence
s of stabilization.