Parabolic pulse generation based on a multiply operation of two triangular pulses

Abstract

A scheme of parabolic pulse generation is proposed and verified by simulations and experiments. Based on a multiply operation, a parabolic pulse can be obtained by carving a triangular envelope with a triangular time window. Theoretical analysis shows that an ideal dark parabolic pulse and frequency-doubled parabolic pulse can be generated under the triangular profile with the second-order approximation. The corresponding fitting degrees of the two types of parabolic pulses are beyond 99% and 97%, respectively. In the experiment, the flexibility is demonstrated, which perfectly agrees with the theoretical expectation.