  Novel behavior of the critical current density $j_{c}$ of a regularly
perforated superconducting film is found, as a function of applied magnetic
field $H$. Previously pronounced peaks of $j_{c}$ at matching fields were
always found to decrease with increasing $H$. Here we found a {\it reversal of
this behavior} for particular geometrical parameters of the antidot lattice
and/or temperature. This new phenomenon is due to a strong ``caging'' of
interstitial vortices between the pinned ones. We show that this vortex-vortex
interaction can be further tailored by an appropriate choice of the
superconducting material, described by the Ginzburg-Landau parameter $\kappa$.
In effective type-I samples we predict that the peaks in $j_{c}(H)$ at the
matching fields are transformed into a {\it step-like behavior}.
