Decelerating Airy pulse propagation in highly non-instantaneous cubic media

Abstract

The propagation of decelerating Airy pulses in non-instantaneous cubic medium is investigated both theoretically and numerically. In a Debye model, at variance with the case of accelerating Airy and Gaussian pulses, a decelerating Airy pulse evolves into a single soliton for weak and general non-instantaneous response. Airy pulses can hence be used to control soliton generation by temporal shaping. The effect is critically dependent on the response time, and could be used as a way to measure the Debye type response function. For highly non-instantaneous response, we theoretically find a decelerating Airy pulse is still transformed into Airy wave packet with deceleration. The theoretical predictions are confirmed by numerical simulations.

Finite-energy accelerating beam dynamics in wavelet-based representations

“…The same parabolic trajectory of the front is observed, along with a bright peak propagating at constant velocity. This peak was previously identified as an "off-shooting" BS [13][14][15][16][17][18][19]. This can be confirmed by looking at the far-field |ψ(k, E)| 2 , plotted in Fig.…”

“…TABs have also been extensively studied in a nonlinear context, with e.g. the presence of a self-focusing nonlinearity (or attractive particle interactions), where the packet spontaneously splits between a weak accelerating remanent and an "off-shooting" bright soliton (BS) [13][14][15][16][17][18][19], bringing even richer physics and further potential applications.…”

Two-dimensional Airy waves and three-wave solitons in quadratic media

“…The propagation of Airy waves distorted by the self-interaction was also studied, under the action of cubic [17]- [25] and quadratic (i.e., χ (2) ) [26]- [31] nonlinearities. In the latter case, the TAW launched in the fundamental-frequency (FF) component creates the second-harmonic (SH) one via the quadratic upconversion.…”

Dynamics of Pearcey pulses in highly noninstantaneous Kerr media

“…For instance, theoretical researches have been proposed on the study of the dynamics of optical pulses. [21][22][23][24][25][26][27][28] In recent years, the nonlinear media with nonlocal response has become the focus of interest due to the potential applications, such as soliton or self-trapped beams generation. 29,30) Thus, it is necessary to investigate the characteristics of the optical pulses when propagated in nonlinear media.…”