Interference of Gaussian and/or Airy beams in coupled PT-symmetric nonlocal system

Chen, Jing; Yang, Rongcao; Bai, Xiaoqin; Bai, Juan; Jia, Heping

doi:10.1016/j.ijleo.2022.170435

Cited by 2 publications

(3 citation statements)

References 52 publications

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“…Meanwhile one-and two-solitons [2], even the general N-solution [3] are derived. Rogue waves with singular peaks [4], singular solutions [5], Gaussian and/or Airy beams [6], and so on are also been reported. However, it is worth mentioning that the above reports all focus on the general diffraction system, the study in fractional diffraction system with PT-symmetric nonlocal nonlinearity is far lacking.…”

Section: Introductionmentioning

confidence: 93%

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Bai,

Yang,

Chen

et al. 2024

Phys. Scr.

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We study the dynamics of Gaussian beams in fractional system with PT-symmetric nonlocal nonlinearity. It is found that the Gaussian beam with transverse displacement can abruptly focus to form bright spot in one sub-branch after experiencing a symmetric split, depending on the nonlinear intensity, initial launched amplitude, angle and chirp of the beam, and the initial chirp can shift the time of abrupt focus and bright spot formation. Furthermore, the Talbot-like effect and breather train are explored by setting the initial amplitude parameter of every component of an initial Gaussian beam train. Moreover, for longitudinally periodically modulated nonlinearity, the bright spots can be formed periodically and asymmetrically in two sub-branches for a single Gaussian beam, and Moiré-like lattices can be generated for a Gaussian beam train. Finally, the conical diffraction and crescent-like evolution in the two-dimensional system are investigated in detail. It is found that the direction of crescent-like evolution is determined by the initial launched angles, which may be an inspiration to design channel path through choosing suitable initial launched angles at will.

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Section: Introductionmentioning

confidence: 93%

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Bai,

Yang,

Chen

et al. 2024

Phys. Scr.

Self Cite

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“…Considering the interactions of different field components, coupled models are employed in many physical sciences. In optical systems, the coherently coupled NLS (CNLS) equations [11][12][13][14][15][16][17][18][19][20][21][22][23][24] have been demonstrated to be useful in investigating the dynamic of orthogonal polarization waves in weakly birefringent fibers, and in many areas of optical communication, such as the collision-based logic and wavelength-division-multiplexed transmission. The coherent coupling may cause the energy exchange between the orthogonal polarization pulses and results to the richer characteristics of nonlinear waves [16,17].…”

Section: Introductionmentioning

confidence: 99%

“…According to equation(11), when t = -1 2, 0 the modulation amplitude a z ( ) and the slope of the effective transmission distance z z ( ) alter significantly around = z 0, and the pulse width function w z ( ) keep unchanged, as shown by the black solid lines in figure 6. On the contrary, a z ( ) and the slope of z z ( ) do not vary with the distance z, and w z ( ) alters around = z 0 when t = -1 4, 0 as shown by the pink dashed lines in figure 6.…”

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confidence: 97%

Superposition of modulated nonlinear waves in inhomogeneous systems with negative coherent coupling

Jia,

Yang

et al. 2023

Phys. Scr.

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The superimposed wave solutions of the variable coefficient nonlinear Schrödinger equations with negative coherent coupling are derived under a more relaxed constraint condition than those in previous literatures. For the benefit of the more relaxed constraint, the dispersion, nonlinearity, and gain/loss can be designed freely, and the obtained solutions can describe the nonlinear waves in general inhomogeneous optical fiber systems. The obtained solutions with two free phase parameters can be deemed to be the superposition of the typical simple modulated solutions, and the arbitrary of the optical parameters and the free phase parameters be expected to give the rise of abundant forms of modulation functions, that leads to the diverse characteristics of superimposed waves. Take the kink dispersion fiber systems with constant gain/loss and trigonometric gain/loss as examples, rich dynamics of the superimposed waves are displayed. By changing the gain/loss, the physical features of superimposed waves, such as the amplitudes of solitons and Kuznetsov-Ma breathers, the widths of solitons, the distances between Kuznetsov-Ma breathers, and the backgrounds of Akhmediev breathers and rogue waves can be controlled. The interaction of solitons or Kuznetsov-Ma breathers, and the number of the rogue waves or Akhmediev breathers can also be manipulated by selecting appropriate value of gain/loss. The results presented here may be useful to explore the diverse dynamics of superimposed waves and prove significance for the control of nonlinear waves in weakly birefringent fibers.

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Interference of Gaussian and/or Airy beams in coupled PT-symmetric nonlocal system

Cited by 2 publications

References 52 publications

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Abrupt focus and bright spot formation in fractional system with PT-symmetric nonlocal nonlinearity

Superposition of modulated nonlinear waves in inhomogeneous systems with negative coherent coupling

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