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In systems with ``balanced loss and gain'', the PT-symmetry is broken byincreasing the non-hermiticity or the loss-gain strength. We show that finitelattices with oscillatory, PT-symmetric potentials exhibit a new class ofPT-symmetry breaking and restoration. We obtain the PT phase diagram as afunction of potential periodicity, which also controls the location complexeigenvalues in the lattice spectrum. We show that the sum of PT-potentials withnearby periodicities leads to PT-symmetry restoration, where the system goesfrom a PT-broken state to a PT-symmetric state as the average loss-gainstrength is increased. We discuss the implications of this novel transition forthe propagation of a light in an array of coupled waveguides.

PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model