“…Notably, two independent and small sets of free parameters, i.e., α m and β m in Eqs. (6) and (7), respectively, have been optimized instead of simultaneously optimizing one set with a large number of parameters, as in our previous method [16]. With this doubly sampled method, the channel number of the sampling function can be readily increased, thus obtaining a pulse train with a high repetition rate (greater than one hundred) as well as high energy efficiency.…”