Temporal Fresnel diffraction induced by phase jumps in linear and nonlinear optical fibres

A Peregrine Soliton-Like Structure That Has Nothing to Deal With a Peregrine Breather

“…For the problem under investigation, whereas the standard NLSE was unable to retrieve the experimental features, adding nonlinear losses that only affect the continuous component was sufficient to qualitatively reproduce the influence of the input power on the output field. Finally, note that in a recent contribution, we have numerically stressed that PS could be observed in a similar configuration when the intensity modulation is replaced by a phase modulation [30].…”

The temporal analogue of diffractive couplers

“…Indeed, a very strong mathematical connection known as space/time duality exists between optical diffraction and the temporal evolution of light in presence of group velocity dispersion [6][7][8]. This concept has simulated both fundamental research regarding, for example, the Arago spot [9], two waves interferometers [10], and temporal Fresnel diffraction in fiber optics [11]. But also successful applications such as theory of temporal imaging [12], dispersive Fourier transform [13,14], highrepetition rate sources, and related applications of the Talbot effect [15], and so many others.…”

Extreme wave excitation from localized phase-shift perturbations

“…a localized phase-shift. While a similar mechanism was originally investigated theoretically in [23] for abrupt phase jumps, in this paper, we rather consider the PSP obtained by impressing the localized phase profile of the pure breather solution at a given distance from the focus point. Examples of evolution, obtained from the NLSE (1) are shown in Fig.…”