Saturable absorption (SA) occurs in NLO materials when its absorption decreases with increasing excitation intensity because of depletion of the ground state (absorption is much faster - typically 10^-16 s - than emission - typically 10^-12 s in fluorescence).
When absorption of the excited state is large compared with the ground state absorption, then absorption increases with increasing excitation intensity (and of course decreases with decreasing excitation intensity); this phenomenon is called reverse saturable absorption (RSA).