Modulation instability of finite energy Airy pulse in optical fiber

Zhang, Lifu; Zhong, Haizhe

doi:10.1364/oe.22.017107

Cited by 30 publications

(10 citation statements)

References 43 publications

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“…By tuning the parameters of the wave-packet, the emitted waves can be judiciously compressed and focused at desired locations. The presence of higher-order effects in the dynamics of Airy pulses has been examined in [110][111][112].…”

Section: Nonlinear Dynamicsmentioning

confidence: 99%

Airy beams and accelerating waves: an overview of recent advances

Efremidis¹,

Chen²,

Segev³

et al. 2019

Optica

424

149

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Over the last dozen of years, the area of accelerating waves has made considerable advances not only in terms of fundamentals and experimental demonstrations but also in connection to a wide range of applications. Starting from the prototypical Airy beam that was proposed and observed in 2007, new families of accelerating waves have been identified in the paraxial and nonparaxial domains in space and/or time, with different methods developed to control at will their trajectory, amplitude, and beam width. Accelerating optical waves exhibit a number of highly desirable attributes. They move along a curved or accelerating trajectory while being resilient to perturbations (self-healing), and, are diffraction-free. It is because of these particular features that accelerating waves have been utilized in a variety of applications in the areas of filamentation, beam focusing, particle manipulation, biomedical imaging, plasmons, and material processing among others.

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Section: Nonlinear Dynamicsmentioning

confidence: 99%

Airy beams and accelerating waves: an overview of recent advances

Efremidis¹,

Chen²,

Segev³

et al. 2019

Optica

424

149

View full text Add to dashboard Cite

show abstract

“…Compared to the self-bending trajectory of Airy beams, Airy pulses exhibit self-accelerating or self-decelerating dynamics [5], and have asymmetric temporal profile with rapidly oscillating tails due to the cubic phase modulation. 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.…”

Section: Introductionmentioning

confidence: 99%

Synchrotron resonant radiation from nonlinear self-accelerating pulses

Zhang¹,

Zhang²,

Pierangeli³

et al. 2018

Opt. Express

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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.

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“…The dynamics of the FEAP in nonlinear regime has also been studied extensively. Soliton formation from Airy pulse [20] and its control through quadratic phase modulation [21], effect of Raman scattering, self steeping and Kerr nonlinearity [22,23], supercontunuum generation [17], periodic dispersion modulation [24], effect of modulation instability [25] etc. are few important works that have been reported recently in the context of FEAP.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Airy pulse under phase modulation: Few interesting aspects

Banerjee,

Roy

2017

Preprint

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In this work we have tried to study the interesting dynamics of Airy pulse under phase modulation. We investigate the role of linear, quadratic and cubic phase modulation on Airy pulse dynamics in pure linear regime. As a specific example, we study the influence of cubic phase modulation (CPM) as a self healing effect when the propagation dynamics of a finite energy Airy pulse is perturbed under the third order dispersion (TOD). As a consequence of TOD, the pulse flips in time domain and propagates with a reverse acceleration. This unusual propagation characteristic can be restricted through CPM which counterbalance the TOD induced flipping phenomenon. With proper analytical and numerical treatment we demonstrate, how CPM not only resists the temporal flipping but helps in preserving the pulse shape under perturbation. We put special emphasis on the study of the Airy pulse at flipping point where it loses its characteristic shape and converts itself to a pure Gaussian pulse. We derive the Gaussian width analytically and demonstrate that a suitable quadratic phase modulation can focus the Airy pulse to a point and leads to a chirp-free Gaussian pulse. The present study is useful in understanding the physical insight of the unique Airy dynamic under phase modulation.

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Modulation instability of finite energy Airy pulse in optical fiber

Cited by 30 publications

References 43 publications

Airy beams and accelerating waves: an overview of recent advances

Airy beams and accelerating waves: an overview of recent advances

Synchrotron resonant radiation from nonlinear self-accelerating pulses

Dynamics of Airy pulse under phase modulation: Few interesting aspects

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