Beam propagation factors and kurtosis parameters of a Lorentz–Gauss vortex beam

Zhou, Guoquan

doi:10.1364/josaa.31.001239

Cited by 24 publications

(4 citation statements)

References 30 publications

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“…Its properties including the beam propagation factor, the kurtosis parameter, the focusing, the tunable optical gradient force, and the Wigner distribution have been studied. [20][21][22][23][24][25] Propagations of Lorentz-Gauss vortex beams in free space, in a turbulent atmosphere, and in a uniaxial crystal have also been demonstrated. [26][27][28] However, the major advantage of a Lorentz-Gauss vortex beam is that it carries the orbital angular momentum.…”

Section: Introductionmentioning

confidence: 94%

Orbital angular momentum density and spiral spectra of Lorentz–Gauss vortex beams passing through a single slit

Zhou

2017

Chinese Phys. B

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Based on the Hermite-Gaussian expansion of the Lorentz distribution and the complex Gaussian expansion of the aperture function, an analytical expression of the Lorentz-Gauss vortex beam with one topological charge passing through a single slit is derived. By using the obtained analytical expressions, the properties of the Lorentz-Gauss vortex beam passing through a single slit are numerically demonstrated. According to the intensity distribution or the phase distribution of the Lorentz-Gauss vortex beam, one can judge whether the topological charge is positive or negative. The effects of the topological charge and three beam parameters on the orbital angular momentum density as well as the spiral spectra are systematically investigated respectively. The optimal choice for measuring the topological charge of the diffracted Lorentz-Gauss vortex beam is to make the single slit width wider than the waist of the Gaussian part.

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Section: Introductionmentioning

confidence: 94%

Orbital angular momentum density and spiral spectra of Lorentz–Gauss vortex beams passing through a single slit

Zhou

2017

Chinese Phys. B

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“…where σ 0 is the second-order moment of the intensity in the source plane and σ ∞ is the second-order moment of the farfield intensity in the spatial-frequency domain. As the beam propagation factor is an invariant, we calculate the beam propagation factor in the source plane based on the second-order moment [29][30][31][32]. According to the standard definition, the second-order moment in the x-direction of the spatial domain reads as…”

Section: A B C D Mmentioning

confidence: 99%

Airyprime beams and their propagation characteristics

Zhou

Chen

Ru³

2014

Laser Phys. Lett.

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A type of Airyprime beam is introduced in this document. An analytical expression of Airyprime beams passing through a separable ABCD paraxial optical system is derived. The beam propagation factor of the Airyprime beam is proved to be 3.676. An analytical expression of the kurtosis parameter of an Airyprime beam passing through a separable ABCD paraxial optical system is also presented. The kurtosis parameter of the Airyprime beam passing through a separable ABCD paraxial optical system depends on the two ratios B/(Az rx ) and B/(Az ry ). As a numerical example, the propagation characteristics of an Airyprime beam is demonstrated in free space. In the source plane, the Airyprime beam has nine lobes, one of which is the central dominant lobe. In the far field, the Airyprime beam becomes a darkhollow beam with four uniform lobes. The evolvement of an Airyprime beam propagating in free space is well exhibited. Upon propagation, the intensity distribution of the Airyprime beam becomes flatter and the kurtosis parameter decreases from the maximum value 2.973 to a saturated value 1.302. The Airyprime beam is also compared with the second-order elegant Hermite-Gaussian beam. The novel propagation characteristics of Airyprime beams denote that they could have potential application prospects such as optical trapping.

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“…When the single mode diode laser beam passes through a spiral phase plate, the output beam is called a Lorentz-Gauss vortex beam [15]. The propagation of Lorentz-Gauss vortex beams in free space [16], a plane of the fractional Fourier transform [17], turbulent ocean [18,19], turbulent atmosphere [20], uniaxial crystal [21,22] and strongly nonlocal nonlinear media [23] have been investigated. The superiority of a Lorentz-Gauss vortex beam over a Lorentz-Gauss beam is that it possesses orbital angular momentum.…”

Section: Introductionmentioning

confidence: 99%

Circular Lorentz–Gauss beams with the power-exponent-phase vortex

Xu¹,

Zhou²,

Chen³

et al. 2019

Laser Phys.

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Circular Lorentz-Gauss beams with the power-exponent-phase vortex are introduced in this paper. Based on the Collins formula, an analytical expression for a circular Lorentz-Gauss beam with the power-exponent-phase vortex passing through a paraxial ABCD optical system is derived. By using the obtained expression of the optical field, one can calculate the orbital angular momentum density of a circular Lorentz-Gauss beam passing through a paraxial ABCD optical system. As a numerical example, the propagation properties of a circular Lorentz-Gauss beam with the power-exponent-phase vortex are demonstrated in free space. The evolution laws of the normalized intensity and the orbital angular momentum density distributions are investigated during the beam propagation. Since a circular Lorentz-Gauss beam with different topological charge and power order has the same intensity distribution in the source plane, the effects of the topological charge and the power order on the normalized intensity and the orbital angular momentum density distributions in the non-source plane are examined.

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Beam propagation factors and kurtosis parameters of a Lorentz–Gauss vortex beam

Cited by 24 publications

References 30 publications

Orbital angular momentum density and spiral spectra of Lorentz–Gauss vortex beams passing through a single slit

Orbital angular momentum density and spiral spectra of Lorentz–Gauss vortex beams passing through a single slit

Airyprime beams and their propagation characteristics

Circular Lorentz–Gauss beams with the power-exponent-phase vortex

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