Spreading and evolution behavior of coherent vortices of multi-Gaussian Schell-model vortex beams propagating through non-Kolmogorov turbulence

Wang, Xiaoyang; Yao, Mingwu; Yi, Xiang; Qiu, Zhiliang; Liu, Zengji

doi:10.1016/j.optlastec.2016.08.003

Cited by 20 publications

(11 citation statements)

References 39 publications

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“…Considering the extended Huygens-Fresnel integral, the CSD of N × D MGSM array beams in non-Kolmogorov turbulent atmosphere at the plane z is written as follows [15][16][17][18][19][20]:…”

Section: Propagation Theorymentioning

confidence: 99%

“…, κ is the magnitude of spatial frequency, and α is the power law exponent. The non-Kolmogorov power spectrum Φ(κ, α) can be described by the following [15][16][17]:…”

Section: Propagation Theorymentioning

confidence: 99%

“…In past years, the topic of beams propagating in atmospheric turbulence has been explored, and different models, such as Kolmogorov and non-Kolmogorov turbulences, were given to describe the atmosphere. The propagation properties of beams, such as average intensity, polarization, scintillation index, and degree of coherence, were widely investigated in Kolmogorov turbulent atmosphere [1][2][3][4][5][6][7][8][9][10][11] and non-Kolmogorov turbulence [12][13][14][15][16][17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

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Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Liu

Wang

et al. 2020

Applied Sciences

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In this paper, rectangular multi-Gaussian Schell-model (MGSM) array beams, which consists N×D beams in rectangular symmetry, are first introduced. The analytical expressions of MGSM array beams propagating through free space and non-Kolmogorov turbulence are derived. The propagation properties, such as normalized average intensity and effective beam sizes of MGSM array beams are investigated and analyzed. It is found that the propagation properties of MGSM array beams depend on the parameters of the MGSM source and turbulence. It can also be seen that the beam size of Gaussian beams translated by MGSM array beams will become larger as the total number of terms, M, increases or coherence length, σ , decreases, and the beam in stronger non-Kolmogorov turbulence (larger α and l 0 , or smaller L 0 ) will also have a larger beam size.

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“…Considering the extended Huygens-Fresnel integral, the CSD of N × D MGSM array beams in non-Kolmogorov turbulent atmosphere at the plane z is written as follows [15][16][17][18][19][20]:…”

Section: Propagation Theorymentioning

confidence: 99%

“…, κ is the magnitude of spatial frequency, and α is the power law exponent. The non-Kolmogorov power spectrum Φ(κ, α) can be described by the following [15][16][17]:…”

Section: Propagation Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Liu

Wang

et al. 2020

Applied Sciences

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“…In the Cartesian coordinate system, the laser beam propagating along the z-axis, the cross-spectral density function of a MGSMV beam at the source plane L = 0 can be expressed as [24,26] (…”

Section: Propagation Of a Mgsmv Beam In Slanted Atmospheric Turbulencementioning

confidence: 99%

“…With the development of the free-space optical communications, the propagation properties of laser beam in turbulent medium have attracted the attention of many researchers in past years. Until now, the influences of turbulent medium on the propagation properties of various beams have been studied, such as partially coherent beam [1], random electromagnetic multi-Gaussian Schell-model vortex beam [2], vortex beam [3], four -petal Gaussian beams [4], partially coherent four-petal Gaussian vortex beams [5], flat-topped vortex hollow beam [6], partially coherent crescent-like optical beam [7], radial phased-locked partially coherent anomalous hollow beam array [8], spectrally partially coherent Gaussian-Schell model pulsed beam [9], array beam [10][11][12], partially coherent anomalous elliptical hollow Gaussian beam [13], Airy beam [14], partially coherent electromagnetic Gaussian-Schell model pulse beams [15], flattened -vortex beam [16], partially coherent Hermite-Gaussian beam [17], J(0)-correlated partially coherent beam [18], single photon [19], Laguerre-Gaussian beam [20], general multi-Gaussian beam [21], twisted rectangular multi-Gaussian Schell-model beam [22], radially polarized multi-cosine Gaussian-Schell model beam [23], multi-Gaussian Schell-model vortex beam [24], and square multi-Gaussian Schell-model beam [25], etc. However, the propagation properties of a multi-Gaussian Schell-model vortex (MGSMV) beam propagating in slanted atmospheric turbulence has not been reported.…”

Section: Introductionmentioning

confidence: 99%

Spreading properties of a multi-Gaussian Schell-modelvortex beam in slanted atmospheric turbulence

Chang¹,

Song²,

Dong³

et al. 2020

Optica Applicata

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The cross-spectral density function of a multi-Gaussian Schell-model vortex (MGSMV) beam propagating through slanted atmospheric turbulence was derived, and the influences of the MGSMV beam parameter and slanted atmospheric turbulence on the spreading properties of a MGSMV beam are studied. One can find that a MGSMV beam propagating in slanted atmospheric turbulence can evolve into the flat-topped beam, and a MGSMV beam with larger index N and topological charge M propagating in slanted atmospheric turbulence will lose the dark hollow center and evolve into the Gaussian beam more slowly than the MGSMV beam with smaller index N and topological charge M. It is also found that a MGSMV beam propagating in slanted atmospheric turbulence with larger strucutre parameter C will evolve into Gaussian beam faster, but the influences of zenith angle α on the spreading properties of MGSMV beam in the far field can be ignored.

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Recognizing OAM Modes of Electromagnetic Laguerre‐Gaussian Schell‐Model Vortex Beams in Atmospheric Turbulence from Polarization

Wang,

Tie,

Tan

et al. 2023

Adv Quantum Tech

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A key element of orbital angular momentum (OAM) multiplexing technology that still requires innovation is the accurate identification of the OAM mode at the receiving end. Herein, based on the electromagnetic Laguerre‐Gaussian Schell‐model vortex (ELGSMV) beam (2020 J. Opt. 22 91), analytical expressions for four properties are obtained: average intensity, degree of polarization (DoP), orientation angle of polarization (OAoP), and ellipticity. The OAoP and ellipticity distributions of ELGSMV beams in relation to the topological charge l and order p are investigated. This is innovatively demonstrate that the OAoP and ellipticity distributions of the ELGSMV beam are the petal‐like shape, with the number of petals being twice as large as the corresponding topological charge. And, the positive or negative value of the topological charge affects the direction in which the petal rotates. In addition, the ELGSMV beam has a higher resistance to atmospheric turbulence than the general partially coherent vortex beam from the perspective of the DoP properties. These novel results may not only propose an effective method for recognizing the OAM mode of a partially coherent vortex beam, but also provide a theoretical basis for the selection of high‐quality beams in applications like quantum information and wireless optical communication.

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Spreading and evolution behavior of coherent vortices of multi-Gaussian Schell-model vortex beams propagating through non-Kolmogorov turbulence

Cited by 20 publications

References 39 publications

Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

Spreading properties of a multi-Gaussian Schell-modelvortex beam in slanted atmospheric turbulence

Recognizing OAM Modes of Electromagnetic Laguerre‐Gaussian Schell‐Model Vortex Beams in Atmospheric Turbulence from Polarization

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