Vector dissipative light bullets in optical laser beam

Djazet, Alain; Tabi, Conrad Bertrand; Fewo, Serge I.; Kofané, Timoléon Crépin

doi:10.1007/s00340-020-07422-7

Cited by 9 publications

(6 citation statements)

References 40 publications

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“…The key principle of the sustainment of optical solitons, optical dromions, optical bullets and domain walls is the existence of a delicate balance between Chromatic Dispersion (CD) and Self-Phase Modulation (SPM). There has been a deluge of results that have been reported on such forms of pulses which were established based on this fundamental principle [1][2][3][4][5][6][7][8][9][10]. The current paper moves a couple of steps further.…”

Section: Introductionmentioning

confidence: 95%

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Elsherbeny,

Mirzazadeh,

Arnous

et al. 2023

Contemp. Math.

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In this paper, we investigate the retrieval of optical bullets and domain walls in a novel context, considering the interplay of cross spatio-dispersive effects and employing Kudryashov' s proposed form of self-phase modulation. The integration of these two key elements represents a significant advancement in the field of nonlinear optics, enabling the recovery of optical structures with enhanced precision and control. We propose an enhanced Kudryashov’s approach, which overcomes the limitations of conventional methods and facilitates the retrieval of optical bullets and domain walls even in the presence of cross spatio-dispersive effects. Kudryashov' s self-phase modulation mechanism has proven to be a powerful tool in controlling the nonlinear dynamics of optical systems, offering unique opportunities to manipulate light waves through phase variations induced by the medium' s response to intense optical fields. The results presented herein offer new insights into the intricate interplay between self-phase modulation and spatio-dispersive effects in nonlinear optical systems. Moreover, our findings provide a promising avenue for developing novel applications in ultrafast all-optical signal processing, such as the manipulation of light bullets for high-speed data transmission and storage. The enhanced retrieval and control of optical bullets and domain walls are expected to have a profound impact on the advancement of nonlinear optics and its practical implications.

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Section: Introductionmentioning

confidence: 95%

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Elsherbeny,

Mirzazadeh,

Arnous

et al. 2023

Contemp. Math.

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“…To explore the dynamics of VVSs defined here by the envelope of the electromagnetic field such as ψ ± (r, θ, t), we consider the following coupled (2+1)D CCQGLVEs [46,48,65] y y y y y g y y n y y d y y y y…”

Section: The Model and Stability Analysismentioning

confidence: 99%

“…To study theoretically and numerically the dynamics of optical solitons in waveguides both in the spatial and the temporal domains, various analytical approaches such as the collective variable technique [42,43], the variational approaches (VAs) [44][45][46][47][48], perturbation technique through the analysis of the modulational instability (MI) phenomenon [49][50][51], the direct simulation of continuous, semi-discrete or discrete solutions [52][53][54] can be used.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, the competition between cubic and quintic nonlinearities opens up possibilities with a wide range of behaviors, characterized by different types of model training in onedimensional (localized structures) and two-dimensional (topological defects) settings for the vector CCGLE [59,60]. Recently, Djazet et al, using the same formulation as Gil through a VA, derived a coupled (2+1)dimensional complex CQGLVE (CCQGLVE) and demonstrated that the stability analysis of VVSs can lead to trapping in an effective potential [46,47]. On the other hand, scalar VSs were found to be stable only in the presence of diffusion, which occurs in physical media other than laser systems [20,61].…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of vortex and anti-vortex solitons in a vectorial cubic-quintic complex Ginzburg-Landau equation

Nko’o Nko’o,

Djazet,

Mandeng

et al. 2024

Phys. Scr.

Self Cite

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In this paper, we present a study of vortex and anti-vortex dynamics within a complex cubic-quintic Ginzburg-Landau vector equation (CCQGLVE). We employ a variational approach to address the analytical aspects, and the results obtained are subsequently confirmed numerically. The vortex vector (VV) and the anti-vortex vector (anti-VV) are defined with topological charges: m = 1 for VV and m = − 1 for anti-VV. Our investigation reveals that the stability zone map corresponds to the region where greater stability can be achieved for the two studied solutions. Notably, the radius of the vortex craters experiences variations either an increase or decrease depending on the competition between the coupling parameters associated with cubic and quintic cross-phase modulation (XPM). During the propagation, the interaction between a fundamental soliton and anti-VV transforms the soliton into a vortex after a short time, but both finally undergo self-confinement which probably will generates solitons. In the case of the interaction between a VV and a fundamental soliton, we observed a self-confinement and a transformation into solitons. Considering the interaction between a VV and an anti-VV, we found that both solutions are also self-confined but the anti-VV solution turns into a soliton faster than the VV solution. This confirms that the anti-VV is the better solution that can be managed with system coupling parameters than the VV one.

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“…where with S 0r , S 0i , P 0r , P 0i , T 0r , T 0i , Q 0r , and Q 0i being given in the Appendix. The CGL equation has the merit to describe long-wavelength modulation of both traveling and homogeneous dissipative waves and finds its applications in a wide variety of physical settings such as optical fiber and lasers [46][47][48][49], metamaterials [50,51], Bose-Einstein condensates [52,53], neural and ecological networks [54][55][56][57], blood flow and circulation [58,59], to cite a few. The calculations performed in this work testify that the CGL equations can describe complex biophysical phenomena such as active particle flows and self-assembly of colloidal particles.…”

Section: Derivation Of the Cglementioning

confidence: 99%

Nonlinear dissipative wave trains in a system of self-propelled particles

Edouma Biloa,

Tabi,

Ekobena Fouda

et al. 2023

Phys. Scr.

Self Cite

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The paper addresses the existence of modulated nonlinear periodic wave trains in a system of self-propelled particles (SPPs). The reductive perturbation method reduces the model hydrodynamics equations to a one-dimensional (1D) complex Ginzburg-Landau (CGL) equation. The modulational instability (MI) phenomenon is studied, where an expression for the instability growth rate is proposed. The latter is used to discuss regions of parameters where trains of solitonic waves are likely to be obtained. This is highly influenced by the values of the variances of Gaussian noise in self-diffusion and binary collision. Solutions for the CGL equations are also studied via the Porubov technique, using a combination of Jacobi and Weierstrass elliptic functions. Wave propagation in the self-propelled particles flock includes modulated nonlinear wave trains, nonlinear spatially localized periodic patterns, and continuous waves.

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Vector dissipative light bullets in optical laser beam

Cited by 9 publications

References 40 publications

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Optical Bullets and Domain Walls with Cross Spatio-Dispersion and Having Kudryashov’s form of Self-Phase Modulation

Dynamics of vortex and anti-vortex solitons in a vectorial cubic-quintic complex Ginzburg-Landau equation

Nonlinear dissipative wave trains in a system of self-propelled particles

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