The results of the experiments at the installation "PICO," with thin foils
heating by laser radiation pulses of nanosecond duration are reported. The
Al foils with thickness in the range from 3 mu up to 40 mu were used as tar
gets. The flux density was varied from 10(13) W/cm(2) to 10(14) W/cm(2). Th
e sharp dependence of the portion of laser energy that passed through the t
arget on foil thickness was observed. This phenomena was accompanied by a r
elatively small decrease of the passed radiation pulse duration. The anomal
ously high speed burning through of thin foil was observed in these experim
ents and the conclusion on,the possible mechanism of this phenomena has bee
n done on the base of comparison of experimental data with theoretical calc
ulations. The observed phenomena can be interpreted with:a conjecture about
the local burning through of a target, in the small areas of the target su
rface, with many more values of flux density than the average one following
laser radiation self-focusing and formation of "hot spots."