Dynamic focusing of chirped Pearcey Gaussian pulses in dispersion-modulated optical fibers

We have conducted a thorough investigation, both theoretically and numerically, into the propagation dynamics of chirped Pearcey-Gaussian (PG) pulses in optical fibers featuring linearly and periodically varying group velocity dispersion (GVD). We derived analytical formulas for the focusing distances, which were verified through numerical simulations. In media with linear GVD modulation, unchirped PG pulses exhibit single or double focusing behavior depending on the sign and magnitude of dispersion parameters, while chirped PG pulses can display triple or quadruple focusing behavior, all of which are controllable. In contrast, for media with periodic GVD modulation, unchirped PG pulses undergo single focusing, and their periodic evolution is influenced by the modulation. However, the inclusion of chirp enables the regulation of both the focusing distance and the number of focusing events. These findings hold promise for enhancing the versatility of PG pulses in applications such as microparticle manipulation, laser processing, and spectroscopy, and may provide valuable insights into the control of PG pulses under nonlinear conditions. • Chirped PG pulses exhibit diverse focusing behaviors in dispersion-modulated media. • During propagation, single to quadruple focusing behaviors were observed. • Both chirp and dispersion significantly influence the focusing distance and inversion behavior.