Propagation and interaction of beams with initial phase-front curvature in highly nonlocal media

Nie, Hexian; Zhang, Huafeng; Li, Lü

doi:10.1016/j.optcom.2008.07.074

Cited by 5 publications

(3 citation statements)

References 48 publications

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“…There are many solutions to equation (1). For convenience, we adopt the self-similar method [21] to solve the equation. One solution of equation ( 1) can be transformed into the following form [12]:…”

Section: Theoretical Analysis Of the Caig Beam In A Parabolic Potentialmentioning

confidence: 99%

Chirped Airy–Gaussian beam in a medium with a parabolic potential

et al. 2016

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By solving the normalized dimensionless linear parabolic (Schrödinger-like) equations in the paraxial approximation, we can obtain the analytic solutions of the chirped Airy-Gaussian (CAiG) beam in a medium with a parabolic potential. We study the propagation properties of the finite energy CAiG beam in a parabolic potential and the influence of the distribution factor and the chirped factor on the CAiG beam. The propagation of the CAiG beam changes drastically with the distribution factor increasing: the CAiG beam tends to the chirped Airy beam when the distribution factor is very small; while as the distribution factor increases further, the CAiG beam tends to the chirped Gaussian beam. At the same time, the CAiG beam with a chirp has big changes when the chirped factor is increasing: the multi-peak structure is not obvious, the accelerated velocity and the peak intensity are larger, but the period does not change; when the CAiG beam has a quadratic chirp, the maximum intensity of the CAiG beam becomes smaller and the envelope is gradually smoother with the increasing of the chirped factor.

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Section: Theoretical Analysis Of the Caig Beam In A Parabolic Potentialmentioning

confidence: 99%

Chirped Airy–Gaussian beam in a medium with a parabolic potential

et al. 2016

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“…During the past years, most of the previous investigations on propagation of beams in SNNM have been focused on those beams whose pattern structure remains invariant although the pattern size may change during propagation. Due to the complexity of evolution of beams in the nonlocal domain, it is interesting to find that the changes of wave front dislocations are possible, which turns out to be very important for the propagation characteristics and will modify the pattern structure for a laser beam in SNNM [24,27,28].…”

Section: Introductionmentioning

confidence: 99%

Propagation Property of an Astigmatic sin–Gaussian Beam in a Strongly Nonlocal Nonlinear Media

Zhu

et al. 2018

Applied Sciences

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Based on the Snyder and Mitchell model, a closed-form propagation expression of astigmatic sin-Gaussian beams through strongly nonlocal nonlinear media (SNNM) is derived. The evolutions of the intensity distributions and the corresponding wave front dislocations are discussed analytically and numerically. It is generally proved that the light field distribution varies periodically with the propagation distance. Furthermore, it is demonstrated that the astigmatism and edge dislocation nested in the initial sin-Gaussian beams greatly influence the pattern configurations and phase singularities during propagation. In particular, it is found that, when the beam parameters are properly selected, a vortex beam with perfect doughnut-shaped profile can be obtained for astigmatic sin-Gaussian beams with two-lobe pattern propagating in SNNM.

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“…When an optical beam is off-waist incident, the beam width will oscillate periodically and no spatial soliton will exist [12]. Besides, the effects of the initial phase-front curvature on the propagation and interaction of Gaussian beams are discussed [13,14]. It was found that the initial phase-front curvature can cause pulsating behavior of the Gaussian beam, and lead to the occurrence of a periodic interference pattern during the interaction of two Gaussian beams.…”

Section: Introductionmentioning

confidence: 99%

Controllable diffraction of Gaussian beams with initial cross phase in nonlocal nonlinear media

Liang¹,

Yang²

2018

Laser Phys.

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An exact Gaussian beam solution with initial cross phase in nonlocal nonlinear media is presented in the strongly nonlocal limit. It is found that both the diffraction properties and the ellipticity of Gaussian beams closely depend on the cross-phase-front curvature. Because of the experimental controllability of the cross-phase-front curvature, the theoretical results pave the way to beam shaping in experiments.

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Propagation and interaction of beams with initial phase-front curvature in highly nonlocal media

Cited by 5 publications

References 48 publications

Chirped Airy–Gaussian beam in a medium with a parabolic potential

Chirped Airy–Gaussian beam in a medium with a parabolic potential

Propagation Property of an Astigmatic sin–Gaussian Beam in a Strongly Nonlocal Nonlinear Media

Controllable diffraction of Gaussian beams with initial cross phase in nonlocal nonlinear media

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