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  • 1
    Online Resource
    Online Resource
    Optica Publishing Group ; 2022
    In:  Optics Express Vol. 30, No. 10 ( 2022-05-09), p. 16856-
    In: Optics Express, Optica Publishing Group, Vol. 30, No. 10 ( 2022-05-09), p. 16856-
    Abstract: Optical coherence has recently become a degree of freedom to modulate the orbital angular momentum (OAM) flux density of a partially coherent beam during propagation. However, the calculation of the OAM flux density for the partially coherent beam involves partial differential and four-dimensional integral operations, which poses drawbacks for its fast numerical calculations. In this paper, we present an efficient numerical protocol for calculating the OAM flux density of any partially coherent Schell-model beam propagating through a paraxial ABCD optical system by only adopting two-dimensional (2D) Fourier transforms. The general formalism is established in detail for the fast numerical calculation of the OAM flux density. It is found that the operation number in the developed algorithm is independent on the spatial coherence states of the beam. To demonstrate the validity of our algorithm, we calculate the OAM flux density of the partially coherent Laguerre-Gaussian beams during propagation with both the analytical and numerical methods. The obtained results are consistent well with each other. Moreover, the OAM flux density properties of two other classes of Schell-model beams, having no analytical solutions, are investigated as the specific examples. Our method provides a convenient way for studying the correlation-induced OAM density changes for any Schell-model beam propagation through a paraxial optical system.
    Type of Medium: Online Resource
    ISSN: 1094-4087
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2022
    detail.hit.zdb_id: 1491859-6
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  • 2
    Online Resource
    Online Resource
    Optica Publishing Group ; 2008
    In:  Optics Letters Vol. 33, No. 12 ( 2008-06-15), p. 1389-
    In: Optics Letters, Optica Publishing Group, Vol. 33, No. 12 ( 2008-06-15), p. 1389-
    Type of Medium: Online Resource
    ISSN: 0146-9592 , 1539-4794
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2008
    detail.hit.zdb_id: 243290-0
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  • 3
    Online Resource
    Online Resource
    Optica Publishing Group ; 2019
    In:  Optics Letters Vol. 44, No. 15 ( 2019-08-01), p. 3709-
    In: Optics Letters, Optica Publishing Group, Vol. 44, No. 15 ( 2019-08-01), p. 3709-
    Type of Medium: Online Resource
    ISSN: 0146-9592 , 1539-4794
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2019
    detail.hit.zdb_id: 243290-0
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  • 4
    Online Resource
    Online Resource
    Optica Publishing Group ; 2022
    In:  Journal of the Optical Society of America A Vol. 39, No. 4 ( 2022-04-01), p. 672-
    In: Journal of the Optical Society of America A, Optica Publishing Group, Vol. 39, No. 4 ( 2022-04-01), p. 672-
    Abstract: The correction pointed out by Nemes [ J. Opt. Soc. Am. A 39 , 667 ( 2022 ) JOAOD6 0740-3232 10.1364/JOSAA.435756 ] to our paper [ J. Opt. Soc. Am. A 37 , 89 ( 2020 ) JOAOD6 0740-3232 10.1364/JOSAA.37.000089 ] is welcome. The author claims that the beam propagation factors M x 2 , M y 2 are inadequate to characterize twisted elliptical multi-Gaussian Schell-model (TEMGSM) beams, which are introduced in our paper. Further, the author points out that there are two pairs of independent, normalized invariants to classify the TEMGSM beams. In this reply, we present the numerical example of the normalized intrinsic propagation invariants of the TEMGSM beams.
    Type of Medium: Online Resource
    ISSN: 1084-7529 , 1520-8532
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2022
    SSG: 24,1
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  • 5
    In: Optics Express, Optica Publishing Group, Vol. 31, No. 8 ( 2023-04-10), p. 13255-
    Abstract: We investigate the second-order statistics of a twisted Hermite-Gaussian correlated Schell-model (THGCSM) beam propagation in turbulent atmosphere, including the spectral density, degree of coherence (DOC), root mean square (r.m.s.) beam wander and orbital angular momentum (OAM) flux density. Our results reveal that the atmospheric turbulence and the twist phase play a role in preventing the beam splitting during beam propagation. However, the two factors have opposite effects on the evolution of the DOC. The twist phase preserves the DOC profile invariant on propagation, whereas the turbulence degenerates the DOC. In addition, the influences of the beam parameters and the turbulence on the beam wander are also studied through numerical examples, which show that the beam wander can be reduced by modulating the initial parameters of the beam. Further, the behavior of the z-component OAM flux density in free space and in atmosphere is thoroughly examined. We show that the direction of the OAM flux density without the twist phase will be suddenly inversed at each point across the beam section in the turbulence. This inversion only depends on the initial beam width and the turbulence strength, and in turn, it offers an effective protocol to determine the turbulence strength by measuring the propagation distance where the direction of OAM flux density is inversed.
    Type of Medium: Online Resource
    ISSN: 1094-4087
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2023
    detail.hit.zdb_id: 1491859-6
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  • 6
    Online Resource
    Online Resource
    Informa UK Limited ; 2012
    In:  Journal of Modern Optics Vol. 59, No. 4 ( 2012-02-20), p. 372-380
    In: Journal of Modern Optics, Informa UK Limited, Vol. 59, No. 4 ( 2012-02-20), p. 372-380
    Type of Medium: Online Resource
    ISSN: 0950-0340 , 1362-3044
    Language: English
    Publisher: Informa UK Limited
    Publication Date: 2012
    detail.hit.zdb_id: 2017832-3
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  • 7
    In: Optics Express, Optica Publishing Group, Vol. 30, No. 3 ( 2022-01-31), p. 3913-
    Abstract: It is known that a twisted Gaussian Schell-model (TGSM) beam with elliptical Gaussian amplitude will rotate its beam spot upon propagation because of the vortex structure of the transverse energy flux. In this paper, we study a special kind of twisted partially coherent beams named twisted Hermite-Gaussian correlated Schell model (HGCSM) beam whose degree of coherence (DOC) is non-circularly symmetric but the source amplitude is of the circular Gaussian profile. Our results reveal that the beam spot (average intensity distribution) does not rotate during propagation even if the circular symmetry of the beam spot is broken. However, the DOC pattern shows the rotation under propagation. From the investigation of the transverse energy flux and OAM density flux, we attribute the nontrivial rotation phenomenon to the redistribution of the transverse energy flux by non-circular DOC. Furthermore, based on Hyde‘s approach [ J. Opt. Soc. Am. A 37 , 257 ( 2020 ) 10.1364/JOSAA.381772 ], we introduce a method for the generation of this class of twisted partially coherent sources. The non-rotation of the beam spot and rotation of the DOC are demonstrated in experiment.
    Type of Medium: Online Resource
    ISSN: 1094-4087
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2022
    detail.hit.zdb_id: 1491859-6
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  • 8
    Online Resource
    Online Resource
    Optica Publishing Group ; 2022
    In:  Optics Express Vol. 30, No. 5 ( 2022-02-28), p. 7511-
    In: Optics Express, Optica Publishing Group, Vol. 30, No. 5 ( 2022-02-28), p. 7511-
    Abstract: We introduce a new type of partially coherent vector beam, named the radially polarized twisted partially coherent vortex (RPTPCV) beam. Such a beam carries the twist phase and the vortex phase simultaneously, and the initial state of polarization (SOP) is radially polarized. On the basis of the pseudo-modal expansion and fast Fourier transform algorithm, the second-order statistics such as the spectral density, the degree of polarization (DOP) and the SOP, propagation through a paraxial ABCD optical system are investigated in detail through numerical examples. The results reveal that the propagation properties of the RPTPCV beam closely depends on the handedness of the twist phase and the vortex phase. When the handedness of the two phases is same, the beam profile is easier to remain a dark hollow shape and the beam spot rotates faster during propagation, compared to the partially coherent vortex beam or the RPTPCV beam with the opposite handedness of the two phases. In addition, the same handedness of two phases resists the coherence induced de-polarization of the beam upon propagation, and the SOP is also closely related to the handedness, topological charge of the vortex phase and the twist factor of the twist phase, providing an efficient way to modulate the beam’s DOP and SOP in the output plane. Moreover, we establish an experiment setup to generate the RPTPCV beam. The average spectral density and the polarization properties are examined in the experiment. The experimental results agree reasonable well with the theoretical predictions. Our results will be useful for particle manipulating, free-space optical communications, and polarization lidar systems.
    Type of Medium: Online Resource
    ISSN: 1094-4087
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2022
    detail.hit.zdb_id: 1491859-6
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  • 9
    Online Resource
    Online Resource
    Optica Publishing Group ; 2022
    In:  Journal of the Optical Society of America A Vol. 39, No. 12 ( 2022-12-01), p. C58-
    In: Journal of the Optical Society of America A, Optica Publishing Group, Vol. 39, No. 12 ( 2022-12-01), p. C58-
    Abstract: Optical coherence is one of the most fundamental characteristics of light and has been viewed as a powerful tool for governing the spatial, spectral, and temporal statistical properties of optical fields during light–matter interactions. In this work, we use the optical coherence theory developed by Emil Wolf as well as the Richards–Wolf’s vectorial diffraction method to numerically study the effect of optical coherence on the localized spin density of a tightly focused partially coherent vector beam. We find that both the transverse spin and longitudinal spin, with the former induced by the out-of-phase longitudinal field generated during strong light focusing and the latter induced by the vortex phase in the incident beam, are closely related to the optical coherence of the incident beam, i.e., with the decrease of the transverse spatial coherence width of the incident beam, the magnitude of the spin density components decreases as well. The numerical findings are interpreted well with the two-dimensional degrees of polarization between any two of the three orthogonal field components of the tightly focused field. We also explore the roles of the topological charge of the vortex phase on enhancing the spin density for the partially coherent tightly focused field. The effect of the incident beam’s initial polarization state is also discussed.
    Type of Medium: Online Resource
    ISSN: 1084-7529 , 1520-8532
    Language: English
    Publisher: Optica Publishing Group
    Publication Date: 2022
    SSG: 24,1
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  • 10
    Online Resource
    Online Resource
    MDPI AG ; 2023
    In:  Photonics Vol. 10, No. 3 ( 2023-03-14), p. 314-
    In: Photonics, MDPI AG, Vol. 10, No. 3 ( 2023-03-14), p. 314-
    Abstract: The twisted Laguerre–Gaussian Schell-model (TLGSM) beam is a novel type of partially coherent beam embedded with both the second-order twist phase and the classical vortex phase. The intriguing properties induced by the interaction of the two types of phases have been demonstrated theoretically quite recently. In this work, we introduce a flexible way to experimentally synthesize a TLGSM beam with controllable twist strength. The protocol relies on the discrete pseudo-mode representation for the cross-spectral density of a TLGSM beam, in which the beam is viewed as an incoherent superposition of a finite number of spatially coherent modes. We show that all these pseudo modes endowed with random phases are mutually uncorrelated and can be encoded into a single frame of a dynamic computer-generated hologram. By sequentially displaying dynamic holograms on a single spatial-light modulator, the controllable TLGSM beam can be synthesized experimentally. The joint effect of the two phases on the propagation and self-reconstruction characteristics of the synthesized beam has also been studied in the experiment.
    Type of Medium: Online Resource
    ISSN: 2304-6732
    Language: English
    Publisher: MDPI AG
    Publication Date: 2023
    detail.hit.zdb_id: 2770002-1
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