Propagation of a Lorentz-Gauss Vortex Beam in a Turbulent Atmosphere

Zhou, Guoquan; Ru, Guoyun

doi:10.2528/pier13082703

Cited by 21 publications

(12 citation statements)

References 39 publications

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“…The turbulence would affect the M 2 factor and kurtosis parameter of a Lorentz-Gauss vortex beam with l 1. The kurtosis parameter of a Lorentz-Gauss vortex beam in the turbulent atmosphere has been discussed in [22]. According to the procedure suggested by [32], one can analyze the M 2 factor of a LorentzGauss vortex beam in the turbulent atmosphere.…”

Section: Resultsmentioning

confidence: 99%

“…Nonparaxial propagation of Lorentz-Gauss vortex beams has been demonstrated in uniaxial crystals orthogonal to the optical axis [21]. The propagation properties of a Lorentz-Gauss vortex beam have been also investigated in a turbulent atmosphere [22]. The effects of the linearly polarized angle and the beam parameters on the three components of the angular momentum density of a Lorentz-Gauss vortex beam have been analyzed [23].…”

Section: Introductionmentioning

confidence: 99%

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

Zhou¹

2014

J. Opt. Soc. Am. A

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Based on the second-order and the higher-order moments, analytical expressions for the beam propagation factors of a Lorentz-Gauss vortex beam with l=1 have been derived, and analytical propagation expressions for the kurtosis parameters of a Lorentz-Gauss vortex beam with l=1 through a paraxial and real ABCD optical system have also been presented. The M² factor is determined by the parameters a and b and decreases with increasing the parameter a or b. The M² factor is validated to be larger than 2. The kurtosis parameters depend on the diffraction-free ranges of the Lorentz part, the parameters a and b, and the ratio A/B. The kurtosis parameters of a Lorentz-Gauss vortex beam propagating in free space are demonstrated in different reference planes. In the far field, the kurtosis parameter K decreases with increasing one of the parameters a and b. Upon propagation, the kurtosis parameter K first decreases, then increases, and finally tends to a saturated value. In any case, the kurtosis parameter K is larger than 2. This research is beneficial to optical trapping, guiding, and manipulation of microscopic particles and atoms using Lorentz-Gauss vortex beams.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Zhou¹

2014

J. Opt. Soc. Am. A

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“…Though the flatness of the partially coherent circular flattened Gaussian vortex beam depends on the two parameters N and w 0 , the role of the parameter N is more obvious than that of the parameter w 0 . By using the extended Huygens-Fresnel integral formula, the cross-spectral density of the partially coherent circular flattened Gaussian vortex beam in turbulent biological tissues can be expressed as [41,45]…”

Section: Partially Coherent Circular Flattened Gaussian Vortex Beams mentioning

confidence: 99%

“…with the auxiliary parameters 1, 2, and 3 being defined by: By using the extended Huygens-Fresnel integral formula, the cross-spectral density of the partially coherent circular flattened Gaussian vortex beam in turbulent biological tissues can be expressed as [41,45]:…”

Section: Partially Coherent Circular Flattened Gaussian Vortex Beams mentioning

confidence: 99%

Characteristics of Partially Coherent Circular Flattened Gaussian Vortex Beams in Turbulent Biological Tissues

Zhou

et al. 2019

Applied Sciences

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The characteristics of partially coherent circular flattened Gaussian vortex beams in turbulent biological tissues are investigated, and the analytical formula for the cross-spectral density of this beam is derived. According to the cross-spectral density matrix, the average intensity and degree of polarization can be obtained. By numerical simulation, the distributions of the normalized average intensity and degree of polarization of partially coherent circular flattened Gaussian vortex beams are demonstrated on the research plane of turbulent biological tissues. The effects of the two beam parameters, the topological charge, the two transverse coherent lengths, and the structural constant of biological turbulence on the normalized average intensity and degree of polarization are analyzed. This study is of great significance for the potential application of partially coherent circular flattened Gaussian vortex beams in medical imaging and medical diagnosis.

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“…Nonparaxial propagation of Lorentz-Gauss vortex beams has been demonstrated in uniaxial crystals orthogonal to the optical axis [20]. The propagation properties of a Lorentz-Gauss vortex beam has been also investigated in a turbulent atmosphere [21]. The linear momentum density is one of the most significant mechanical parameters [22,23].…”

Section: Introductionmentioning

confidence: 99%

Linear Momentum Density of a General Lorentz-Gauss Vortex Beam in Free Space

Zhou¹

2014

PIER B

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Abstract-Based on the Collins integral, an analytical expression of a general Lorentz-Gauss vortex beam propagating in free space is derived, which allows one to calculate the linear momentum density of a general Lorentz-Gauss vortex beam in free space. The linear momentum density distribution of a general Lorentz-Gauss vortex beam propagating in free space is graphically demonstrated. The xand y-components of the linear momentum density are composed of two lobes with the equivalent area and the opposite sign. Therefore, the overall x-and y-components of the linear momentum in an arbitrary reference plane are equal to zero. The longitudinal component of the linear momentum density is proportional to the intensity distribution. The influences of the Gaussian waist, the width parameters of the Lorentzian part, the axial propagation distance, and the topological charge on the linear momentum density distribution of a general Lorentz-Gauss vortex beam in free space are examined in detail.

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Propagation of a Lorentz-Gauss Vortex Beam in a Turbulent Atmosphere

Cited by 21 publications

References 39 publications

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

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

Characteristics of Partially Coherent Circular Flattened Gaussian Vortex Beams in Turbulent Biological Tissues

Linear Momentum Density of a General Lorentz-Gauss Vortex Beam in Free Space

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