We develop a new model of a Thomas-Fermi cluster that describes the distrib
ution of electrons in alkaline clusters with many atoms. We examine the cla
ssical multiple ionization of such a cluster by a strong electromagnetic fi
eld. Finally, we calculate the degree of ionization as a function of the fi
eld strength. (C) 1999 American Institute of Physics. [S1063-7761(99)00806-
9].