Miguel A. Porras

TL;DR: The precise observation of the angle-frequency spectrum of light filaments in water reveals a scenario incompatible with current models of conical emission, and its description in terms of linear X-wave modes leads to understand filamentation dynamics requiring a phase- and group-matched, Kerr-driven four-wave-mixing process that involves two highly localized pumps and two X waves.

TL;DR: In this paper, a family of solutions of the paraxial wave equation that represent ultrashort pulsed light beams propagating in free space is presented, and the effects arising from their spatiotemporal coupled behavior, such as pulse time delay, distortion, and a frequency shift toward the beam periphery are investigated.

TL;DR: The existence of localized and stationary solutions of the 2D + 1 nonlinear Schrödinger equation are found, which are stable against radial collapse and behave as a strong attractor for the self-focusing dynamics in Kerr media.

TL;DR: The frequency-dependent nature of diffraction acts as a kind of dispersion that modifies the pulse front surface, its group velocity, the envelope form, and the carrier frequency, and these changes can be straightforwardly quantified.

TL;DR: It is shown that stationary, spatiotemporal localized Bessel X-wave transmission is also possible in the anomalous dispersion regime and all previously reported cases of suppression of normal material group velocity dispersion by using angular dispersion in tilted pulses, pulsed Bessel beams, and BesselX waves are compared and presented in a unified way.