Phase transition of cosh-Airy beams in inhomogeneous media

Li, Hehe; Wang, Jingge; Tang, Miaomiao; Cao, Jingxiao; Li, Xinzhong

doi:10.1016/j.optcom.2018.06.045

Cited by 17 publications

(10 citation statements)

References 35 publications

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“…The propagation properties of cosh-Airy beams have been investigated in free space [25] and uniaxial crystals orthogonal to the optical axis [26], respectively. The periodic phase transition of a cosh-Airy beam has been found in a quadratic-index inhomogeneous medium [27]. The self-healing ability of the cosh-Airy beam is verified to be higher than that of the corresponding Airy beam [28].…”

Section: Introductionmentioning

confidence: 86%

Beam Propagation Factor of a Cosh-Airy Beam

Zhou

2019

Applied Sciences

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Based on the second-order moments, the analytical expression of the beam propagation factor of a cosh-Airy beam has been derived. The beam propagation factor was determined by the decay factor and the cosh parameter. Because the beam propagation factors in the x- and y-directions of the cosh-Airy beam have the same form, only the beam propagation factor in the x- direction was selected as the object of numerical calculation and analysis. The effects of the decay factor and the cosh parameter on the beam propagation factor were investigated. When the decay factor was greater than 1, the beam propagation factor first increased and then decreased with the increase of the cosh parameter, and finally, tended to a minimum value. Under the condition that the decay factor was less than 1, the beam propagation factor always increased with the increase of the cosh parameter. As the decay factor increased, the beam propagation factor decreased and tended to a minimum value. Finally, the effects of the decay factor and the cosh parameter on the squares of the beam waist and the divergence were analyzed in more detail.

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Section: Introductionmentioning

confidence: 86%

Beam Propagation Factor of a Cosh-Airy Beam

Zhou

2019

Applied Sciences

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“…In the Cartesian coordinate system, the z axis is assumed to be the propagation axis. At the initial plane, the electric field amplitude of an incident CAiV beam in the coordinate system can be described as follows: [36,39] φ 0 (x 0 , y 0 , z = 0)…”

Section: The Analytical Expression For Caiv Beams Through Chiral Mediummentioning

confidence: 99%

“…[38] The periodic phase transition of the cosh-Airy beam was shown in a quadraticindex inhomogeneous medium. [39] The propagation of cosh-Airy beams in free space and uniaxial crystal orthogonal to the optical axis has been investigated. [36,40] But there has been no report on the propagation of the CAiV beams in a chiral medium so far.…”

Section: Introductionmentioning

confidence: 99%

Paraxial propagation of cosh-Airy vortex beams in chiral medium*

Yang

2020

Chinese Phys. B

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Propagation dynamics of the cosh-Airy vortex (CAiV) beams in a chiral medium is investigated analytically with Huygens–Fresnel diffraction integral formula. The results show that the CAiV beams are split into the left circularly polarized vortex (LCPV) beams and the right circularly polarized vortex (RCPV) beams with different propagation trajectories in the chiral medium. We mainly investigate the effect of the cosh parameter on the propagation process of the CAiV beams. The propagation characteristics, including intensity distribution, propagation trajectory, peak intensity, main lobe’s intensity, Poynting vector, and angular momentum are discussed in detail. We find that the cosh parameter affects the intensity distribution of the CAiV beams but not its propagation trajectory. As the cosh parameter increases, the distribution areas of the LCPV and RCPV beams become wider, and the side lobe’s intensity and peak intensity become larger. Besides, the main lobe’s intensity of the LCPV and RCPV beams increase with the increase of the cosh parameter at a farther propagation distance, which is confirmed by the variation trend of the Poynting vector. It is significant that we can vary the cosh parameter to control the intensity distribution, main lobe’s intensity, and peak intensity of the CAiV beams without changing the propagation trajectory. Our results may provide some support for applications of the CAiV beams in optical micromanipulation.

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“…Moreover, propagation properties of the cosh-Airy beam in uniaxial crystals orthogonal to the optical axis are verified to be more abundant than those of the corresponding Airy beam [40]. When a cosh-Airy beam propagates in a quadratic-index inhomogeneous medium, the periodic phase transition occurs [41]. However, to the best of our knowledge, there are very few research reports about cos-Airy beams.…”

Section: Introductionmentioning

confidence: 96%

Propagation of Cosh-Airy and Cos-Airy Beams in Parabolic Potential

Zhou

Chu

et al. 2019

Applied Sciences

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The analytical expressions of one-dimensional cosh-Airy and cos-Airy beams in the parabolic potential are derived in the general and the phase transition points. The expression in the phase transition point shows a symmetric Gaussian intensity profile and is independent of any Airy features, which is completely different from that in the general point. The intensity, the center of gravity, and the effective beam size of the cosh-Airy and cos-Airy beams in the parabolic potential are periodic and have the same period. The effects of the transverse displacement, the cosh factor, and the cosine factor on these periodic behaviors are also investigated. The direction of self-acceleration reverses every half-period. The phase transition point is also the inversion point of the intensity distribution, which indicates that the intensity distributions before and after the phase transition point are mirror symmetrical. The periodic behaviors of the normalized intensity, the center of gravity, and the effective beam size of the cosh-Airy and cos-Airy beams in the parabolic potential are attractive and well displayed. The results obtained here may have potential applications in particle manipulation, signal processing, and so on.

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Phase transition of cosh-Airy beams in inhomogeneous media

Cited by 17 publications

References 35 publications

Beam Propagation Factor of a Cosh-Airy Beam

Beam Propagation Factor of a Cosh-Airy Beam

Paraxial propagation of cosh-Airy vortex beams in chiral medium*

Propagation of Cosh-Airy and Cos-Airy Beams in Parabolic Potential

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