The supercontinuum generation with Pearcey-Gaussian pulses in an optical fiber

Chen, Ruifeng; Yi, Kaiwen; Peng, Yuanqiang; Zou, Baoying; Hong, Weiyi

doi:10.1016/j.rinp.2020.103255

Cited by 14 publications

(6 citation statements)

References 36 publications

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“…The optical field described by different catastrophe functions in recent years has received a considerable boost [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The well-known Airy beam as the fundamental optical catastrophe field was first theoretically constructed by Siviloglou and Christodoulides in 2007 [21], then experimentally observed by them [22].…”

Section: Introductionmentioning

confidence: 99%

“…Subsequently, they further introduced different kinds of circular Pearcey beam and discovered several revolutionary advantages compared to the latter [7][8][9][10]. Moreover, Hong et al discussed the properties of a Pearcey pulse in optical fibers [11,12]. Ren et al numerically simulated and experimentally constructed a family of symmetric/ asymmetric Pearcey beams by applying Fresnel diffraction instead of the conventional Fourier transformation approach [13,14].…”

Section: Introductionmentioning

confidence: 99%

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Propagation behaviors of two-dimensional chirped finite-energy Pearcey beams in free space

Zhang,

2024

J. Phys. B: At. Mol. Opt. Phys.

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We introduce a two-dimensional chirped finite energy Pearcey beams (FEPB) for the first time and investigate the propagation dynamics. First, we applied Huygens-Fresnel integral to derive an explicit analytical expression which is suitable for describing FEPB propagation in free space. It is interesting to find that FEPB will experience three typical propagation patterns, i.e., single-autofocusing case, dual-autofocusing case and non-autofocusing diffraction case, only depending on the value of the input asymmetric chirp. We further arrive at the critical condition of such three patterns analytically. However, another input symmetric chirp acts to strengthen or weaken the autofocusing intensity through changing the former sign, but does not affect the focal distance. Our findings denote that two-dimensional chirped FEPB can pave another prospective wave in controlling linear self-focusing and the optical particle manipulation, when compared with the corresponding Airy field or conventional Gaussian field.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Propagation behaviors of two-dimensional chirped finite-energy Pearcey beams in free space

Zhang,

2024

J. Phys. B: At. Mol. Opt. Phys.

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“…[12] As a result, PG pulses have exciting evolution dynamics [13] and applications such as supercontinuum generation. [14] Dispersive waves (DWs) radiations (also called Cherenkov or Resonant radiation) are stimulated by perturbed solitons, [15][16][17] which is a fundamental process in nonlinear optics. Resonant energy will be transferred to the phase matched band and the frequency of the DWs depends on the perturbed parameters, such as high order dispersive and nonlinear terms.…”

Section: Introductionmentioning

confidence: 99%

“…[ 12 ] As a result, PG pulses have exciting evolution dynamics [ 13 ] and applications such as supercontinuum generation. [ 14 ]…”

Section: Introductionmentioning

confidence: 99%

Controllable Dispersive Wave Radiation from Pearcey Gaussian Pulses

Zhang

Wang

et al. 2022

Annalen der Physik

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The process of dispersive waves (DWs) emitted from unique Pearcey Gaussian (PG) pulses with both temporal and spectral asymmetric shapes in the anomalous dispersion region of optical fiber is investigated. In contrast to symmetric pulses such as fundamental soliton (Sech) or Gaussian, the radiation amplitude and energy conversion efficiency of DWs are significantly improved by adjusting the asymmetry of the spectral distribution and the temporal oscillation structure of PG pulses. It is shown that, for the case of PG pulses, the minimum value of third-order dispersion parameter required for the emergence of DWs emission is nearly reduced 50% compared with the case of symmetric pulses. It is also shown that the radiation frequency of DWs emitted from PG pulses can be predicted by a modified phase matching condition. The theoretical predictions are in good agreement with the numerical simulations. The impact of Raman scattering effects on the DWs emission is also disclosed. The results of this study clearly reveal the impact of the inherent behaviors of PG pulses on the DWs emission, which should be relevant for applications requiring broadband light sources based on the mechanism of DWs emission.

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“…In the same year, dual-focusing property of a one-dimensional quadratically chirped PG beam was studied analytically and numerically [23]. Researchers have also analyzed other type of Pearcey beam theoretically and experimentally, including odd-Pearcey beam [24], Pearcey solitons [25], symmetric PG beam [26][27][28] and PG vortex beam [29,30].…”

Section: Introductionmentioning

confidence: 99%

Periodic evolution of the Pearcey–Gaussian beam in the fractional Schrödinger equation under Gaussian potential

Gao¹,

Guo²,

Ren³

et al. 2022

J. Phys. B: At. Mol. Opt. Phys.

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The dynamics of the Pearcey-Gaussian beam with Gaussian potential in the fractional Schrödinger equation are investigated. In the free space, varying the Lévy index offers a convenient way to control the splitting and bending angle of the beam. In the presence of Gaussian potential, with the increasing of propagation distance, the process is repeated in a breath-like motion. The periodicity also can be changed by adjusting the potential parameter and incident beam arguments, such as potential height, potential width and transverse wavenumber. The transmission and reflection of the beam can also be controlled by varying the potential parameters. Moreover, when a symmetrical Gaussian potential barrier is selected, total reflection is more likely to occur. These unique characteristics show the possibility in controlling the dynamics of Pearcey-Gaussian beam with the fractional Schrödinger equation system.

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The supercontinuum generation with Pearcey-Gaussian pulses in an optical fiber

Cited by 14 publications

References 36 publications

Propagation behaviors of two-dimensional chirped finite-energy Pearcey beams in free space

Propagation behaviors of two-dimensional chirped finite-energy Pearcey beams in free space

Controllable Dispersive Wave Radiation from Pearcey Gaussian Pulses

Periodic evolution of the Pearcey–Gaussian beam in the fractional Schrödinger equation under Gaussian potential

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