The resonance states of a periodically driven barrier potential are investi
gated. We show that narrow shape-type resonances evolve from overlapping re
sonances of a static barrier as a result of an increase of the field amplit
ude. These shape-type resonances are associated with the field-induced barr
ier transparency phenomenon. It is suggested that cross-section experiments
in strong laser fields may be used to uncover overlapping resonances. [S10
50-2947(99)01902-2].