Propagation of annular cos-Gaussian beams through turbulence.

The propagation characteristics of annular cos-Gaussian beams and Bessel-Gaussian beams in turbulence have been widely investigated. However, the expression of the average intensity of Bessel-Gaussian beams involves a complex double integral, which requires large computational resources and does not easily ensure accuracy. Under this background, through the general cos-Gaussian beam rotation, a new annular cos-Gaussian beam is proposed which not only has some properties of the general cos-Gaussian beam, but also properties similar to those of the Bessel-Gaussian beam. Moreover, the annular cos-Gaussian beam is simpler in form than the general one and much more time-saving in calculation than the Bessel-Gaussian beams. Based on the extended Huygens-Fresnel principle, the average intensity on a receiver plane of the annular cos-Gaussian beams can be simplified to a summation of several polynomials and it is in good agreement with that of low-order Bessel Gaussian beams. The average radius and the power in the bucket are also derived. In summary, the annular cos-Gaussian beam has promising applications for its quick calculation and simple form among annular beams and hollow beams.

[1]  Miceli,et al.  Diffraction-free beams. , 1987, Physical review letters.

[2]  H. Eyyuboğlu,et al.  Propagation of higher order Bessel–Gaussian beams in turbulence , 2007 .

[3]  F. Gori,et al.  Bessel-Gauss beams , 1987 .

[4]  Yun Zhu,et al.  Propagation of the OAM mode carried by partially coherent modified Bessel-Gaussian beams in an anisotropic non-Kolmogorov marine atmosphere. , 2016, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  Halil T. Eyyuboğlu Annular, cosh and cos Gaussian beams in strong turbulence , 2011 .

[6]  B. Lü,et al.  Partially coherent nonparaxial beams. , 2004, Optics letters.

[7]  Yahya Baykal,et al.  Transmittance of partially coherent cosh-Gaussian, cos-Gaussian and annular beams in turbulence , 2007 .

[8]  K. Dholakia,et al.  Optical micromanipulation using a Bessel light beam , 2001 .

[9]  J J Miceli,et al.  Comparison of Bessel and Gaussian beams. , 1988, Optics letters.

[10]  Yanhua Shih,et al.  Virtual ghost imaging through turbulence and obscurants using Bessel beam illumination , 2012 .

[11]  A. Martín-Ruiz,et al.  Generation of J(0) Bessel beams with controlled spatial coherence features. , 2010, Optics express.

[12]  H. Eyyuboğlu,et al.  Hermite-cosine-Gaussian laser beam and its propagation characteristics in turbulent atmosphere. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[13]  I. Lukin Integral momenta of vortex Bessel-Gaussian beams in turbulent atmosphere. , 2016, Applied optics.

[14]  C. Chatwin,et al.  Long-distance Bessel beam propagation through Kolmogorov turbulence. , 2015, Journal of the Optical Society of America. A, Optics, image science, and vision.

[15]  O. Korotkova,et al.  Intensity fluctuations in J-Bessel–Gaussian beams of all orders propagating in turbulent atmosphere , 2008 .

[16]  Adolfo Comerón,et al.  Scintillation and beam-wander analysis in an optical ground station-satellite uplink. , 2004, Applied optics.

[17]  Pu Ji-xiong,et al.  Propagation of Gauss?Bessel beams in turbulent atmosphere , 2009 .

[18]  L. Casperson,et al.  Hermite–Sinusoidal-Gaussian Beams in Complex Optical Systems , 1998 .

[19]  X. Ji,et al.  Influence of turbulence on the effective radius of curvature of radial Gaussian array beams. , 2010, Optics express.

[20]  M. Neifeld,et al.  Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link. , 2008, Applied optics.

[21]  R. G. Cooke,et al.  Gibbs's Phenomenon in Fourier‐Bessel Series and Integrals , 2022 .

[22]  K. Dholakia,et al.  Interfering Bessel beams for optical micromanipulation. , 2003, Optics letters.

[23]  Olga Korotkova,et al.  Cosine-Gaussian Schell-model sources. , 2013, Optics letters.

[24]  Daomu Zhao,et al.  Controllable dark-hollow beams and their propagation characteristics. , 2005, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  Propagation of modified Bessel-Gaussian beams in turbulence , 2008 .

[26]  Yangjian Cai,et al.  Hollow Gaussian beams and their propagation properties. , 2003, Optics letters.

[27]  Liang Gao,et al.  3D live fluorescence imaging of cellular dynamics using Bessel beam plane illumination microscopy , 2014, Nature Protocols.

[28]  X. Ji,et al.  Turbulence-induced quality degradation of partially coherent beams , 2005 .

[29]  M. Davidson,et al.  Rapid three-dimensional isotropic imaging of living cells using Bessel beam plane illumination , 2011, Nature Methods.

[30]  Yahya Baykal,et al.  Analysis of reciprocity of cos-Gaussian and cosh- Gaussian laser beams in a turbulent atmosphere. , 2004, Optics express.