  We theoretically and computationally investigate the behavior of infinite
atom arrays when illuminated by nearly resonant light. We use higher order mean
field equations to investigate the coherent reflection and transmission and
incoherent scattering of photons from a single array and from a pair of arrays
as a function of detuning for different values of the Rabi frequency. For the
single array case, we show how increasing the light intensity changes the
probabilities for these different processes. For example, the incoherent
scattering probability initially increases with light intensity before
decreasing at higher values. For a pair of parallel arrays at near resonant
separation, the effects from increasing light intensity can become apparent
with incredibly low intensity light. In addition, we derive the higher order
mean field equations for these infinite arrays giving a representation that can
be evaluated with a finite number of equations.
