Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

Wang, Fei; Cai, Yangjian; Korotkova, Olga

doi:10.1364/oe.17.022366

Cited by 112 publications

(36 citation statements)

References 73 publications

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“…[21] that one can determine not only jlj but also the sign of l of a partially coherent LG 0l beam through the measurement of the mutual correlation function (MCF) or CCF with the help of cylindrical lenses. For a partially coherent LG pl beam [22] , it was demonstrated both theoretically [23] and experimentally [24] that the far-field ring dislocations equals 2p þ jlj. It was demonstrated numerically that one can determine the azimuthal and radial mode orders (i.e., p and jlj) through measuring the CCF and the double correlation function (DCF) together [25] .…”

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confidence: 97%

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Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Liu

et al. 2017

Chin. Opt. Lett.

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It is known that one can determine the mode orders (i.e., the azimuthal order and radial order) of a partially coherent LG pl beam (i.e., a partially coherent vortex beam) based on the measurement of the cross-correlation function (CCF) and the double correlation function (DCF) together. The technique for measuring the CCF is known. In this Letter, we propose a method for measuring the DCF. Based on the proposed method, the determination of the mode orders of a partially coherent LG pl beam is demonstrated experimentally.

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confidence: 97%

“…The MCF of a partially coherent LG pl beam at z ¼ 0 (source plane) in a cylindrical coordinate system is expressed as [16,22,23] …”

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Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Liu

et al. 2017

Chin. Opt. Lett.

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“…The normalized intensity distribution of the PCFPG beam is utilized and shown in Figs. 1-4, which is defined by the following formula [9,17,25,54] …”

Section: Numerical Examples and Analysismentioning

confidence: 99%

Average Intensity and Spreading of Partially Coherent Four-Petal Gaussian Beams in Turbulent Atmosphere

Li¹,

Chen²,

Xu³

et al. 2010

PIER B

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Abstract-The concept of partially coherent four-petal Gaussian (PCFPG) beam is introduced and described in analytical forms. Based on the Huygens-Fresnel integral formula, average intensity and beam spreading in turbulent atmosphere are derived in analytical expressions. Effects of beam parameters and atmospheric structure constant on intensity distributions and effective beam sizes are investigated in detail, respectively. Results show that PCFPG beams carrying larger coherence lengths or higher beam orders would be less affected by turbulence. It is also indicated that, when the propagation distance increases, the PCFPG beam would convert into the Gausslike profile sooner or later, but this degradation can be reduced by modulating beam parameters. Results in this paper may provide potential applications in free-space optical communications.

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“…As a general extension of Kolmogorov turbulence, non-Kolmogorov turbulence has been studied widely both in theory and in experiment in the past decades [29][30][31][32][33][34][35][36][37] . It is verified that random beams are found as a suitable way for reducing the disadvantages induced by a turbulent atmosphere [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] . Recently, random electromagnetic beams have been reported as a better optimization of scalar random beams for reducing turbulence-induced scintillation [53][54][55][56] .…”

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Vector properties of a tunable random electromagnetic beam in non-Kolmogrov turbulence

Wang

Zhu

2016

中国光学快报

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Analytical formulas for a class of tunable random electromagnetic beams propagating in a turbulent atmosphere through a complex optical system are derived with the help of a tensor method. One finds that the far field intensity distribution is tunable by modulating the source correlation structure function. The on-axis spectral degree of polarization monotonically increases to the same value for different values of order M in free space while it returns to the initial value after propagating a sufficient distance in turbulence. Furthermore, it is revealed that the state of polarization is closely determined by the initial correlation structure rather than by the turbulence parameters.OCIS It is well known the spatial correlation structure of random beams significantly affects the propagation intensity distribution [1] . However, only a few correlation function models such as the Schell-model source, Bessel-correlated source, and the Lambertian source have been introduced over the past decades [1][2][3] . As a typical correlation source, the Schell-model source with a Gaussian correlation function has been extensively studied both in theory and in experiments over the past decades [4][5][6][7][8][9] . Since Gori proposed a sufficient condition for the generation of genuine correlation functions based on a non-negative definiteness [10] , a variety of correlation functions have been proposed, both theoretically and experimentally. Beams generated by non-uniform correlation sources have found various unique properties in terms of self-accelerating, selffocusing and special beam profiles in terms of dark hollow, flat-topped and rectangular frame, etc. [11][12][13][14][15][16][17][18][19] . Coherence and polarization are two fundamentals of light fields both in classical and quantum optics. They had been studied separately in literature until James first reported that the spectral degree of polarization (DOP) generally changes on propagation induced by the source correlation property, even in free space [20] . Since Wolf developed a unified theory of coherence and polarization for random electromagnetic beams, it is widely used to determine the statistical properties of random electromagnetic beams in free space as well as in various media [21][22][23][24][25][26][27][28] . Optical communication exhibits various advantages in terms of high speed, high bandwidth, and anti-interference as compared with microwave communication. However, refractive index fluctuations caused by a turbulent atmosphere significantly limit the transmission of optical signals. As a general extension of Kolmogorov turbulence, non-Kolmogorov turbulence has been studied widely both in theory and in experiment in the past decades [29][30][31][32][33][34][35][36][37] . It is verified that random beams are found as a suitable way for reducing the disadvantages induced by a turbulent atmosphere [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] . Recently, random electromagnetic beams have been reported as a better optimization of scalar r...

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Partially coherent standard and elegant Laguerre-Gaussian beams of all orders

Cited by 112 publications

References 73 publications

Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Experimental determination of the azimuthal and radial mode orders of a partially coherent LGpl beam (Invited Paper)

Average Intensity and Spreading of Partially Coherent Four-Petal Gaussian Beams in Turbulent Atmosphere

Vector properties of a tunable random electromagnetic beam in non-Kolmogrov turbulence

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