Propagation properties of the superimposed chirped Bessel–Gaussian vortex beams in strongly nonlocal nonlinear medium

Lu, Zichen; Tu, Jialong; Zhen, Weiming; He, Shangling; Wang, Jingze; Yan, Jiangyang; Zhang, Yong; Deng, Dongmei

doi:10.1016/j.optcom.2022.128238

Cited by 6 publications

(2 citation statements)

References 35 publications

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“…Chirped and chirped-free optical solitons of these models are scrutinized comprehensively so as to contribute to diagnosing the physical properties of optical fiber and its applications. Moreover, NLSE with nonlocal characteristics can generate a variety of new solitons such as fundamental solitons, in-phase and out-of-phase bound-state solitons, multipeak solitons, spatial solitons, and breathers [15][16][17]. The literature describes various mathematical tools that have been implemented to create solitons and other wave structures for mathematical models.…”

Section: Introductionmentioning

confidence: 99%

Optical Solitons and Modulation Instability Analysis with Lakshmanan–Porsezian–Daniel Model Having Parabolic Law of Self-Phase Modulation

Al-Kalbani

Al-Ghafri²,

Krishnan

et al. 2023

Mathematics

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This paper seeks to find optical soliton solutions for Lakshmanan–Porsezian–Daniel (LPD) model with the parabolic law of nonlinearity. The spatiotemporal dispersion is included to the model, as it can contribute to handling the problem of internet bottleneck. This study was performed analytically using the traveling wave hypothesis to reduce the model to an integrable form. Then, the resulting equation was handled with two approaches, namely,the auxiliary equation method and the Bernoulli subordinary differential equation (sub-ODE) method. With an intentional focus on hyperbolic function solutions, abundant optical soliton waves including W-shaped, bright, dark, kink-dark, singular, kink, and antikink solitons were derived with the existing conditions. Furthermore, the behaviors of some optical solitons are illustrated. The spatiotemporal dispersion was found to significantly affect the pulse propagation dynamics. Finally, the modulation instability (MI) of the LPD model is explained in detail along with the extraction of the expression of MI gain.

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Section: Introductionmentioning

confidence: 99%

Optical Solitons and Modulation Instability Analysis with Lakshmanan–Porsezian–Daniel Model Having Parabolic Law of Self-Phase Modulation

Al-Kalbani

Al-Ghafri²,

Krishnan

et al. 2023

Mathematics

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show abstract

“…In the previous studies, the research on VAW is limited to the ideal environment, and the research on the propagation of vortex waves under the OT effect is focussed on the light wave [33][34][35][36][37][38][39]. The propagation characteristics of VAW considering the OT effect and the application of VAW in sonar staring imaging need to be further studied.…”

Section: Introductionmentioning

confidence: 99%

Propagation and imaging analysis of vortex acoustic waves in ocean turbulence

Shi

Liu

Guo

2022

IET Radar Sonar & Navi

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Vortex acoustic waves (VAW) with helical phase wavefronts could provide a new dimension for the detection and imaging of targets in the ocean. To explore the propagation characteristics of VAW under the effect of ocean turbulence (OT) and the impact on imaging, the phase screen method is used to simulate the propagation of VAW generated by a phase-modulated uniform circular array under the effect of OT and the imaging of the target. The phase change and detection probability under the influence of the acoustic wave parameters and OT parameters during the propagation process are studied. Second, the azimuth resolution performance and focussing performance of the target imaging are studied. Under the effect of OT, the VAW of different frequencies and topological modes become scattered, and the degree of scattering is different when the parameters are different; and the resolution performance and focussing performance have also deteriorated. However, the VAW still has a reliable resolution under the effect of medium and low-intensity OT, which provides theoretical support for the practice of the VAW in underwater target imaging.

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The vortex cosine-gaussian beam in strongly nonlocal nonlinear media

Chen

Zhang

et al. 2022

Optik

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Propagation properties of the superimposed chirped Bessel–Gaussian vortex beams in strongly nonlocal nonlinear medium

Cited by 6 publications

References 35 publications

Optical Solitons and Modulation Instability Analysis with Lakshmanan–Porsezian–Daniel Model Having Parabolic Law of Self-Phase Modulation

Optical Solitons and Modulation Instability Analysis with Lakshmanan–Porsezian–Daniel Model Having Parabolic Law of Self-Phase Modulation

Propagation and imaging analysis of vortex acoustic waves in ocean turbulence

The vortex cosine-gaussian beam in strongly nonlocal nonlinear media

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