Abstract
Solitons and nonlinear waves emit resonant radiation in the presence of perturbations. This effect is relevant for nonlinear fiber optics, supercontinuum generation, rogue waves, and complex nonlinear dynamics. However, resonant radiation is narrowband, and the challenge is finding novel ways to generate and tailor broadband spectra. We theoretically predict that nonlinear self-accelerated pulses emit a novel form of synchrotron radiation that is extremely broadband and controllable. We develop an analytic theory and confirm the results by numerical analysis. This new form of supercontinuum generation can be highly engineered by shaping the trajectory of the nonlinear self-accelerated pulses. Our results may find applications in novel highly efficient classical and quantum sources for spectroscopy, biophysics, security, and metrology.
Highlights
Finite energy Airy pulses are non-spreading electromagnetic expressed as a truncated Airy function [1]
Various authors have shown that Airy pulses have many exciting applications, including linear light bullets generation [6, 7], supercontinuum generation [8], self-focusing dynamics [9, 10], manipulation of Raman-induced frequency effects [11,12,13], optimizing laser-cell membrane interactions [14], laser processing [15], and more
We test our theoretical model by solving Eq (1) for various parameters and including third-order dispersion (TOD) and fourth-order dispersion (FOD); as shown in Fig. 3 we find a good agreement of the generated spectrum with Eq (8)
Summary
Finite energy Airy pulses are non-spreading electromagnetic expressed as a truncated Airy function [1]. Temporal self-accelerating solitons with similar Airy-like profile in nonlinear Kerr media were reported by Giannini et al as early as 1989 [17]. Due to the time varying velocity of these pulses, the resonant emission can be fairly more complex than for standard solitons, and the results are extremely relevant for novel broadband emission sources Exploring these pulses in combination with RRs may improve existing application as wavelength conversion [40], biophotonics [41] and supercontinuum generation [8,25], including quantum control [42]
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