Theoretical Analysis and Experimental Demonstration of a Chirped Pulse-Train Generator and its Potential for Efficient Cooling of Positronium

We propose an injection-locked pulsed laser with an electro-optic phase modulator in a Ti:sapphire laser cavity to realize both broadband optical spectra and long pulse durations. Further, we experimentally and theoretically demonstrate that the output microsecond-long pulse consists of a train of short pulses in the time domain and a comblike broadband spectrum with fast chirping in the positive and negative directions in the frequency domain. Finally, we discuss the potential of the proposed system for efficient Doppler cooling of positronium, a short-lived exotic atom.