Laser pulses at 1.06 µm with 2.5-mJ energy and 3.1-MW peak power have been obtained from a composite, all-polycrystalline ceramics, passively Q-switched 1.1-at.% Nd:YAG/Cr 4+ :YAG laser that was quasi-continuous-wave pumped with diode lasers. Single-pass frequency doubling with LiB 3 O 5 nonlinear crystal at room temperature yielded green laser pulses at 532 nm with energy of 0.36-mJ and 0.45-MW peak power; the infrared-to-green conversion efficiency was 0.27.