Splitting and combining properties of an elegant Hermite-Gaussian correlated Schell-model beam in Kolmogorov and non-Kolmogorov turbulence

Yu, Jinlong; Chen, Yahong; Liu, Lin; Liu, Xianlong; Cai, Yangjian

doi:10.1364/oe.23.013467

Cited by 67 publications

(20 citation statements)

References 40 publications

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“…For further investigating the propagation properties of the OCVLs, we also study the M 2 -factor and beam wander [49][50][51]. The beam's second-order moments in turbulent atmosphere in the receiver plane are obtained as follows [51]:…”

Section: Formulation Of the Propagation Of Oclvs In Turbulent Atmospherementioning

confidence: 99%

Propagation of Optical Coherence Vortex Lattices in Turbulent Atmosphere

et al. 2018

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Propagation properties in the turbulence atmosphere of the optical coherence vortex lattices (OCVLs) are explored by the recently developed convolution approach. The evolution of spectral density distribution, the normalized M 2 -factor, and the beam wander of the OCVLs propagating through the atmospheric turbulence with Tatarskii spectrum are illustrated numerically. Our results show that the OCVLs display interesting propagation properties, e.g., the initial Gaussian beam distribution will evolve into hollow array distribution on propagation and finally becomes a Gaussian beam spot again in the far field in turbulent atmosphere. Furthermore, the OCVLs with large topological charge, large beam array order, large relative distance, and small coherence length are less affected by the negative effects of turbulence. Our results are expected to be used in the complex system optical communications.

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Section: Formulation Of the Propagation Of Oclvs In Turbulent Atmospherementioning

confidence: 99%

Propagation of Optical Coherence Vortex Lattices in Turbulent Atmosphere

et al. 2018

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“…Based on the sufficient condition for devising genuine correlation functions of partially coherent beams proposed by Gori et al [26,27], Chen et al introduced a class of partially coherent beam with a special spatially correlation function named Hermite-Gaussian correlated Schell-model (HGCSM) beam in 2015 [28]. The propagation properties of the HGCSM beam in free space, focusing optical system, Kolmogorov and non-Kolmogorov turbulent atmosphere have been investigated in detail [28][29][30][31]. It was found that the HGCSM beam exhibits many extraordinary properties, such as self-splitting on propagation in free space, splitting and combining in focusing optical system, and turbulent atmosphere, and selfhealing properties when a portion of the spot is obscured.…”

Section: Introductionmentioning

confidence: 99%

Average Intensity and Beam Quality of Hermite-Gaussian Correlated Schell-Model Beams Propagating in Turbulent Biological Tissue

et al. 2021

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The propagation characteristics of a Hermite-Gaussian correlated Schell-model (HGCSM) beam in the turbulence of biological tissue are analyzed. The average intensity, spectral degree of coherence, and the dependence of the propagation factors on the beam orders, transverse coherence width, fractal dimension, characteristic length of heterogeneity, and small length-scale factor are numerically investigated. It is shown that the HGCSM beam does not exhibit self-splitting properties on propagation in tissues due to the strong turbulence in the refractive index of biological tissue. The larger the beam orders, the fractal dimension, and the small length-scale factor are, or the smaller the transverse coherence width and the characteristic length of heterogeneity are, the smaller the normalized propagation factor is, and the better the beam quality of HGCSM beams in turbulence of biological tissue is. Moreover, under the same condition, the HGCSM beam is less affected by turbulence than of Gaussian Schell-model (GSM) beam. It is expected that the results obtained in this paper may be useful for the application of partially coherent beams in tissue imaging and biomedical diagnosis.

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“…Various partially coherent beams with prescribed correlation functions have been investigated in both theory and experiment since Gori and collaborators derived the sufficient condition for constructing the genuine correlation functions [2,3] . Recent studies have shown that specially correlated partially coherent beams display many unique but interesting properties, e.g., self-splitting effect appears in a Hermite-Gaussian correlated Schellmodel beam on propagation [9][10][11] , partially coherent beams with multi-Gaussian, Bessel-Gaussian and cosine-Gaussian correlated Schell-model functions exhibit prescribed farfield intensity distributions [12][13][14][15] , Laguerre-Gaussian correlated Schell-model beam produces an optical cage near the focal plane [16,17] . Due to those extraordinary properties, specially correlated partially coherent beams are useful in some applications, such as optical imaging, particle trapping, atom guiding and free-space optical communications.…”

Section: Introductionmentioning

confidence: 99%

Correlation-induced self-focusing and self-shaping effect of a partially coherent beam

Chen

Cai

2016

High Pow Laser Sci Eng

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A new specially correlated partially coherent beam named nonuniform multi-Gaussian correlated (NMGC) partially coherent beam is introduced. The correlation functions of such beam in x and y directions are different from each other, i.e., nonuniform correlation function in one direction and multi-Gaussian correlated Schell-model function in the other direction. The propagation properties of an NMGC partially coherent beam in free pace are demonstrated, and we find that the intensity distribution of such beam exhibits self-focusing and self-shifting effect in one direction and self-shaping effect in the other direction on propagation. The correlation-induced self-focusing and self-shaping effect will be useful in some applications, where the high power and shaped laser is required, such as material thermal processing and laser carving.

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Splitting and combining properties of an elegant Hermite-Gaussian correlated Schell-model beam in Kolmogorov and non-Kolmogorov turbulence

Cited by 67 publications

References 40 publications

Propagation of Optical Coherence Vortex Lattices in Turbulent Atmosphere

Propagation of Optical Coherence Vortex Lattices in Turbulent Atmosphere

Average Intensity and Beam Quality of Hermite-Gaussian Correlated Schell-Model Beams Propagating in Turbulent Biological Tissue

Correlation-induced self-focusing and self-shaping effect of a partially coherent beam

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