Allen, L., Begersbergen, M.W., Spreeuw, R.J.C., Woerdman, J.P.: Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A 45, 8185–8189 (1992)
Andrews, L.C., Philips, R.L.: Laser beam propagation through random media. SPIE Press, Washington (1998)
Baykal, Y.: Correlation and structure functions of Hermite-sinusoidal-Gaussian beams in the turbulent atmosphere. J. Opt. Soc. Am. A Opt. Imag. Sci. Vis. 21, 1290–1299 (2004)
Belafhal, A., Ibnchaikh, M.: Propagation properties of Hermite-cosh-Gaussian laser beams. Opt. Comm. 186, 269–276 (2000)
Belafhal, A., Hricha, Z., Dalil-Essakali, L., Usman, T.: A note on some integrals involving Hermite polynomials and their applications. Adv. Math. Mod. App. 5(3), 313–319 (2020)
Bishop, A.I., Nieminen, T.A., Heckenberg, N.R., Rubinsztein, H.: Optical microrheology using rotating laser-trapped particles. Phys. Rev. Lett. 92(19), 198104–198107 (2004)
Boufalah, F., Dalil-Essakali, L., Ez-zariy, L., Belafhal, A.: Introduction of generalized Bessel-Laguerre-Gaussian beams and its central intensity traveling a turbulent atmosphere. Opt. Quant. Elect. 50, 305–325 (2018)
Cai, Y.: Propagation of various flat-topped beams in a turbulent atmosphere. J. Opt. A. Pure Appl. Opt. 8, 537–545 (2006)
Cai, Y., He, S.: Propagation of various dark hollow beams in a turbulent atmosphere. Opt. Exp. 14, 1353–1367 (2006)
Cai, Y., Lu, X., Lin, Q.: Hollow Gaussian beam and its propagation. Opt. Lett. 28, 1084–1086 (2003)
Casperson, L.W., Tovar, A.A.: Hermite-Sinusoidal-Gaussian beams in complex optical systems. J. Opt. Soc. Am. A 15, 954–961 (1998)
Dai, H.T., Liu, Y.J., Luo, D., Sun, X.W.: Propagation properties of an optical vortex carried by an airy beam: experimental implementation’. Opt. Lett. 36(9), 1617–1619 (2011)
Eyyuboglu, H.T.: Propagation of Hermite-cosh-Gaussian laser beams in turbulent atmosphere. Opt. Comm. 245, 37–47 (2005)
Gao, C., Wei, G., Weber, H.: Orbital angular momentum of the laser beam and the second-order intensity moments. Sci. in Chin. A 43(12), 1306–1311 (2000)
Gradshteyn, I.S., Ryzhik, I.M.: Tables of integrals series and products, 5th edn. Academic Press, New York (1994)
Guo, L., Tang, Z., Wan, W.: Propagation of a four-petal Gaussian vortex beam through a paraxial ABCD optical system. Optik 125(19), 5542–5545 (2014)
Hricha, Z., Belafhal, A.: Focusing properties of focal Hermite-cosh-Gaussian beams. Opt. Comm. 253, 242–249 (2005)
Hricha, Z., Yaalou, M., Belafhal, A.: Intensity characteristics of double–half inverse Gaussian hollow beams through turbulent atmosphere. Opt. Quant. Elect. 52, 201–207 (2020a)
Hricha, Z., Yaalou, M., Belafhal, A.: Introduction of a new vortex cosine-hyperbolic-Gaussian beam and the study of its propagation properties in fractional fourier transform optical system. Opt. Quant. Elect. 52, 296–302 (2020b)
Hricha, Z., Lazrek, M., Yaalou, M., Belafhal, A.: Propagation of vortex cosine-hyperbolic-Gaussian beams in atmospheric turbulence. Opt. Quant. Elect. 53(8), 383–398 (2021a)
Hricha, Z., Yaalou, M., Belafhal, A.: Introduction of the vortex Hermite-Cosh-Gaussian beam and the analysis of its intensity pattern upon propagation. Opt. Quant. Elect. 53, 80 (2021b)
Ibnchaikh, M., Dalil-Essakali, L., Hricha, Z., Belafhal, A.: Parametric characterization of truncated Hermite-cosh-Gaussian beams. Opt. Comm. 190, 29–36 (2001)
Korotkova O, Gbur G (2007) “Propagation of beams with any spectral, coherence and polarization properties in turbulent atmosphere”. Proc-SPIE 6457, 64570J1–64570J12.
Kotlyar, V.V., Kovalev, A.A., Porfirev, A.P.: Vortex Hermite-Gaussian laser beams’. Opt. Lett. 40(5), 701–704 (2015)
Kuga, T., Torii, Y., Shiokawa, N., Hirano, T., Shimizu, Y., Sasada, H.: Novel optical trap of atoms with a doughnut beam. Phys. Rev. Lett. 78, 4713–4716 (1997)
Liu, H., Lü, Y., Xia, J., Pu, X., Zhang, L.: Flat-topped vortex hollow beam and its propagation properties’. J. Opt. 17, 075606 (2015)
Lukin, V.P., Konyaev, P.A., Sennikov, V.A.: Beam spreading of vortex beams propagating in turbulent atmosphere. App. Opt. 51(10), 84–87 (2012)
Mei, Q.X., Yue, Z.W., Zhong, R.R.: Intensity distribution properties of Gaussian vortex beam propagation in atmospheric turbulence. Chin. Phys. B 24(4), 044201–044205 (2015)
Ni, Y., Zhou, G.: Propagation of a Lorentz-Gauss vortex beam through a paraxial ABCD optical system. Opt. Comm. 291, 19–25 (2013)
Noriega-Manez, R.J., Gutiérrez-Vega, J.C.: Rytov theory for Helmholtz-Gauss beams in turbulent atmosphere. Opt. Exp. 15, 16328–16341 (2007)
Paterson, L., MacDonald, M.P., Arlt, J., Sibbett, W., Bryant, P.E., Dholakia, K.: Controlled rotation of optically trapped microscopic particles. Science 292(5518), 912–914 (2001)
Ponomarenko, S.A.: A class of partially coherent beams carrying optical vortices. J. Opt. Soc. Am. A 18, 150–156 (2001)
Rubinsztein-Dunlop, H., Forbes, A., Berry, M.V., Dennis, M.R., Andrews, D.L., Mansuripur, M., Denz, C., Alpmann, C., Banzer, P., Bauer, T., Karimi, E., Marrucci, L., Padgett, M., Ritsch-Marte, M., Litchinitser, N.M., Bigelow, N.P., Rosales-Guzmán, C., Belmonte, A., Torres, J.P., Neely, T.W., Baker, M., Gordon, R., Stilgoe, A.B., Romero, J., White, A.G., Fickler, R., Willner, A.E., Xie, G., McMorran, B., Weiner, A.M.: “Roadmap on structured light”. J. Opt. 19(1), 013001 (2017)
Simpson, N.B., Dholakia, K., Allen, L., Padgett, M.J.: Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner. Opt. Lett. 22(1), 52–54 (1997)
Tovar, A.A., Casperson, L.W.: Production and propagation of Hermite-sinusoidal-Gaussian laser beams. J. Opt. Soc. Am. A 15, 2425–2432 (1998)
Wang, Z., Lin, Q., Wang, Y.: Control of atomic rotation by elliptical hollow beam carrying zero angular momentum. Opt. Comm. 240, 357–362 (2004)
Wang, F., Liu, X., Cai, Y.: Propagation of partially coherent beam in turbulent atmosphere: a review. Prog. Elec. Res. 150, 123–143 (2015)
Wang, J., Yang, J.Y., Fazal, I.M., Ahmed, N., Yan, Y., Huang, H., Ren, Y., Yue, Y., Dolinar, S., Tur, M., Willner, A.E.: Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. phot. 6(7), 488–496 (2012)
Yaalou, M., El Halba, E.M., Hricha, Z., Belafhal, A.: Propagation characteristics of Dark and Antidark Gaussian beams in a turbulent atmosphere. Opt. Quant. Elect. 51, 255–266 (2019)
Zhou, G.Q., Cai, Y., Dai, C.Q.: Hollow vortex Gaussian beams. Sci. Chin. Phys. Mech. Astron. 56(5), 896–903 (2013)
Zhou, Y., Zhou, G.: Orbital angular momentum density of a hollow vortex-Gausssian beam’. Prog. In. Elect. Res. M 38, 15–24 (2014)
Zhu, X., Wu, G., Luo, B.: Propagation of elegant vortex Hermite-Gaussian beams in turbulent atmosphere. Proc. SPIE 10158, 101580F-F101581 (2016)