Asymmetric twisted vortex Gaussian Schell-model beams

Zhang, Yao; Pan, Keming; Xu, Jia; Zhu, Wenyue; Zhao, Daomu

doi:10.1016/j.optcom.2021.126950

Cited by 7 publications

(8 citation statements)

References 23 publications

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“…Indeed, these special functions even allow us to generalize the isotropic ABCD CSD function derived in Refs. [27,29,31,33] to any paraxial ABCD system (including turbulence, if desired), which (to our knowledge) has not been presented before. MDHPs were first defined in 1926 [37] and further investigated in 1953 [38] and again in the 1970s [39,40].…”

Section: Introductionmentioning

confidence: 88%

“…( 15) as the sum of products of standard Hermite polynomials and ultimately derive a CSD function similar to those in Refs. [27,29,31,33]. Following Ref.…”

Section: Tlgsm Beam Csd Functionmentioning

confidence: 99%

“…One of the recent advancements in stochastic OAM beams has been the creation of twisted vortex [10,[26][27][28] or twisted Laguerre-Gauss partially coherent beams [29][30][31][32][33]. These fields possess both a stochastic twist and coherent vortex coupling their transverse (to the direction of propagation) spatial dimensions.…”

Section: Introductionmentioning

confidence: 99%

“…These fields possess both a stochastic twist and coherent vortex coupling their transverse (to the direction of propagation) spatial dimensions. This combination of twist and vortex offers much greater control over the field's OAM [26][27][28][29], making these beams an attractive option for many of the applications listed above.…”

Section: Introductionmentioning

confidence: 99%

“…Much analysis has been performed on twisted vortex beams, including derivations of their total OAM [26][27][28][29], how they behave after scattering from obstacles [30], and their propagation behaviors through atmospheric turbulence and isotropic ABCD systems [27,29,31,33]. Regarding the latter, the cross-spectral density (CSD) function [34][35][36] at the output of either the turbulent path or ABCD system is commonly expressed as nested sums of Gaussian-function and Hermitepolynomial products, where the arguments of both are complicated functions.…”

Section: Introductionmentioning

confidence: 99%

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Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Hyde,

Wilson,

Bose-Pillai

2024

J. Opt. Soc. Am. A

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We derive the cross-spectral density (CSD) function for a twisted vortex partially coherent beam at the output of a general ABCD system in terms of multidimensional Hermite polynomials (MDHPs). MDHPs, which to our knowledge have not been applied in classical optics, offer notational and computational advantages over prior CSD function representations, which use common (one-dimensional) Hermite polynomials. We explain how to compute MDHPs using the recurrence relation given in the literature and include MATLAB code to generate MDHPs of any order. Lastly, we validate our work experimentally by comparing the measured spectral density of a twisted vortex beam at the output of an asymmetric optical system to predictions from our theoretical CSD function.

show abstract

Section: Introductionmentioning

confidence: 88%

“…( 15) as the sum of products of standard Hermite polynomials and ultimately derive a CSD function similar to those in Refs. [27,29,31,33]. Following Ref.…”

Section: Tlgsm Beam Csd Functionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Hyde,

Wilson,

Bose-Pillai

2024

J. Opt. Soc. Am. A

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Evolution behavior of the coherent vortex dipole in oceanic turbulence

Chen¹,

Li²,

Li³

et al. 2022

J. Opt. Soc. Am. A

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The propagation of a Gaussian Schell-model (GSM) beam with a coherent vortex dipole (CVD) through oceanic turbulence is studied in detail. The creation and annihilation of the CVDs occur with propagation, which is similar to the case of atmospheric turbulence. However, the appearance and vanishment of a coherent vortex may occur by varying the propagation distance, oceanic turbulence parameters, or beam parameters, which is different from the case of atmospheric turbulence. The stronger the oceanic turbulence, the faster the evolution process of the CVD carried by GSM beams.

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Evolution properties of twisted Hermite Gaussian Schell-model beams in non-Kolmogorov turbulence

Zhang

Zhou

et al. 2022

Opt. Express

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A general form of twisted Hermite Gaussian Schell-model (THGSM) beams is introduced; analytical expressionsare obtained for cross-spectral density and M2-factor using the extended Huygens–Fresnel principle and Wigner function. The evolution of THGSM beams during propagation in non-Kolmogorov turbulence is shown numerically; the beams exhibit self-splitting and twist into two lobes. The intensity distribution evolves into a Gaussian shape and beam quality worsens with increasing distance; the intensity distribution and M2-factor are determined by the twist factor, beam orders, and other beam parameters. THGSM beams provide more degrees of freedom to regulate beam parameters, thereby enriching the types of partially coherent beams.

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Asymmetric twisted vortex Gaussian Schell-model beams

Cited by 7 publications

References 23 publications

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Twisted vortex Gaussian Schell-model beams, generalized ABCD systems, and multidimensional Hermite polynomials

Evolution behavior of the coherent vortex dipole in oceanic turbulence

Evolution properties of twisted Hermite Gaussian Schell-model beams in non-Kolmogorov turbulence

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