A method of operating a continuously pumped, Q-switched laser to provide trains of pulses for laser operations is disclosed. The laser includes a solid-state gain-medium that exhibits a thermal-lensing effect on being optically pumped. Pulse delivery is controlled by a Q-switch that is in a normally-open state when the laser is not delivering pulses. This allows the laser to deliver CW laser radiation when pulses are not being delivered. A train of pulses is delivered by repeatedly interrupting the CW operation by closing then reopening the Q-switch. When the Q-switch reopens after the interruption, the laser delivers a pulse of laser radiation, then resumes delivery of CW operation until the next interruption. The interruption periods may be varied to provide pulses of different peak power in a pulse train.