The local ac magnetic response in Bi2Sr2CaCu2O8 crystals was measured
using a microscopic array of Hall sensors. The ac component of the loc
al induction is found to attain negative values in contradiction with
the standard models that predict a positive in-phase variation of the
induction with the applied field. A model of ac response in the presen
ce of a geometrical barrier is derived and is shown to describe well t
he measured behavior. The dissipation peak and the onset of higher har
monics at elevated temperatures are due to geometrical barrier and do
not reflect a change in the bulk resistivity.