* Because destruction free techniques like laser ablation are base on high local fields
* because a 1ps pulse spreads over 10^12 Hz bandwidth, which may be useful if you want to have "more white" light (but this pulse is actually not very short)
* because pump-probe techniques depend on short pulses. If you additionally need a strong pulse, higher power may come in handy
* I also imagine it could be an advantage for generating plasma.