[3] Wang F, Liu X, Cai Y. Propagation of partially coherent beam in turbulent atmosphere: A review[J]. Progress in Electromagnetics Rresearch, 2015, 150: 123-143.
[4] Hardy J W. Adaptive Optics for Astronomical Telescopes[M]. New York: Oxford University Press, 1998.
[5] Lukin V P, Fortes B V. Phase-correction of turbulent distortions of an optical wave propagating under conditions of strong intensity fluctuations[J]. Applied Optics, 2002, 41(27): 5616-5624.
[6] Friberg A T, Sudol R J. Propagation parameters of gaussian Schell-model beams[J]. Optics Communications, 1982, 41(6): 383-387.
[7] Deschamps J, Courjon D, Bulabois J. Gaussian Schell-model sources-An example and some perspectives[J]. Journal of the Optical Society of America, 1983, 73(3): 256-261.
[8] Mitchell M, Chen Z, Shih M F, et al. Self-trapping of partially spatially incoherent light[J]. Physical Review Letters, 1996, 77(3): 490-493.
[9] Mitchell M, Segev M, Coskun T H. Theory of incoherent solitons: Self-trapped spatially incoherent light beams[C]. Quantum Electronics Conference, 1998.
[10] Akhmediev N, Królikowski, Snyder A W. Partially coherent solitons of variable shape[J]. Physical Review Letters, 1998, 81(21): 4632-4635.
[11] Paganin D, Nugent K A. Noninterferometric phase imaging with partially coherent light[J]. Physical Review Letters, 1998, 80(12): 2586-2589.
[12] Dubois F, Joannes L, Legros J C. Improved three-dimensional imaging with a digital holography microscope with a source of partial spatial coherence[J]. Applied Optics, 1999, 38(34): 7085-7094.
[13] Gureyev T E, Paganin D M, Stevenson A W, et al. Generalized Eikonal of partially coherent beams and its use in quantitative imaging[J]. Physical Review Letters, 2004, 93(6): 068103.
[14] Wu G, Cai Y. Detection of a semirough target in turbulent atmosphere by a partially coherent beam[J]. Optics Letters, 2011, 36(10): 1939-1941.
[15] Clark J N, Huang X, Harder R, et al. High-resolution three-dimensional partially coherent diffraction imaging[J]. Nature Communications, 2012, 3(8): 993.
[16] Kagalwala K H, Di Giuseppe G, Abouraddy A F, et al. Bell’s measure in classical optical coherence[J]. Nature Photonics, 2012, 7(1): 72-78.
[17] Canado L G, Beams R, Jorio A, et al. Theory of spatial coherence in near-field Raman scattering[J]. Physical Review X, 2014, 4(3): 031054.
[18] Qian X F, Little B, Howell J C, et al. Shifting the quantum-classical boundary: Theory and experiment for statistically classical optical fields[J]. Optica, 2015, 2(7): 611-615.
[19] Cai Y, Chen Y, Yu J, et al. Generation of partially coherent beams[J]. Progress in Optics, 2017, 62: 157-223.
[21] Cai Y, Chen Y, Wang F. Generation and propagation of partially coherent beams with nonconventional correlation functions: A review[J]. Journal of the Optical Society of America A, 2014, 31(9): 2083-2096.
[22] Tamburini F, Anzolin G, Umbriaco G, et al. Overcoming the Rayleigh criterion limit with optical vortices[J]. Physical Review Letters, 2006, 97(16): 163903.
[23] Wang H, Sheppard C J R, Ravi K, et al. Fighting against diffraction: Apodization and near field diffraction structures[J]. Laser & Photonics Reviews, 2012, 6(3): 1-39.
[24] Wang H F, Shi L P, Yuan G Q, et al. Subwavelength and super-resolution nondiffraction beam[J]. Applied Physics Letters, 2006, 89(17): 171102.
[25] Tong Z, Korotkova O. Beyond the classical Rayleigh limit with twisted light[J]. Optics Letters, 2012, 37(13): 2595.
[26] Liang C, Wu G, Wang F, et al. Overcoming the classical Rayleigh diffraction limit by controlling two-point correlations of partially coherent light sources[J]. Optics Express, 2017, 25(23): 28352.
[27] Lavery M P J, Speirits F C, Barnett S M, et al. Detection of a spinning object using light’s orbital angular momentum[J]. Science, 2013, 341(6145): 537-540.
[28] Garcés-Chávez V, Mcgloin D, Melville H, et al. Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam[J]. Nature, 2002, 419(6903): 145-147.
[29] Mazilu M, Dholakia K, Baumgartl J. Optically mediated particle clearing using Airy wavepackets[J]. Nature Photonics, 2008, 2(11): 675-678.
[31] Born M, Wolf E. Principles of Optics[M]. Cambridge: Cambridge University, 1999.
[32] Harlow G R. Wave propagation in a Random Medium[J]. Physics Bulletin, 1960, 11(9): 232-233.
[33] Tatarskii V I. Wave Propagation in a Turbulent Medium[M]. New York: McGraw-Hill, 1961.
[34] Lutomirski R F, Yura H T. Propagation of a finite optical beam in an inhomogeneous medium[J]. Applied Optics, 1971, 10(7): 1652-1658.
[35] Banakh V A, Krekov G M, Mironov V L, et al. Focused-laser-beam scintillations in the turbulent atmosphere[J]. Journal of the Optical Society of America, 1974, 64(4): 516-518.
[36] Andrews L C, Phillips R L. Laser Beam Propagation Through Random Media[M]. SPIE Press, 2005.
[37] Dan Y, Zhang B. Second moments of partially coherent beams in atmospheric turbulence[J]. Optics Letters, 2009, 34(5): 563-565.
[38] Dan Y, Zhang B. Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J]. Optics Express, 2008, 16(20): 15563-15575.
[39] Siegman A E. New developments in laser resonators[J]. Optical Resonators, 1990, 1224: 2-14.
[40] Gori F, Santarsiero M, Sona A. The change of width for a partially coherent beam on paraxial propagation[J]. Optics Communications, 1991, 82(3-4): 197-203.
[41] Xiao X. Beam wander analysis for focused partially coherent beams propagating in turbulence[J]. Optical Engineering, 2012, 51(2): 026001.
[42] Gu Y, Gbur G. Scintillation of pseudo-Bessel correlated beams in atmospheric turbulence[J]. Journal of the Optical Society of America A, 2010, 27(12): 2621-2629.
[43] Gu Y, Gbur G. Scintillation of nonuniformly correlated beams in atmospheric turbulence[J]. Optics Letters, 2013, 38(9): 1395.
[44] Kon A I, Tatarskii V I. On the theory of the propagation of partially coherent light beams in a turbulent atmosphere[J]. Radiophysics & Quantum Electronics, 1972, 15(10): 1187-1192.
[45] Belen’Kii M S, Kon A I, Mironov V L. Turbulent distortions of the spatial coherence of a laser beam[J]. Soviet Journal of Quantum Electronics, 1977, 7(3): 287-290.
[46] Leader J C. Atmospheric propagation of partially coherent radiation[J]. Journal of the Optical Society of America, 1978, 68(2): 175-185.
[47] Fante R L. Two-position, two-frequency mutual-coherence function in turbulence[J]. Journal of the Optical Society of America, 1981, 71(12): 1446-1451.
[48] Leader J C. Intensity fluctuations resulting from partially coherent light propagating through atmospheric turbulence[J]. Journal of the Optical Society of America, 1979, 69(1): 73-84.
[49] Fante R L. Intensity fluctuations of an optical wave in a turbulent medium effect of source coherence[J]. Journal of Modern Optics, 2012, 9: 1203-1207.
[50] Banach V A, Buldakov V M, Mironov V L. Intensity fluctuations of a partially coherent light beam in a turbulent atmosphere[J]. Optics & Spectroscopy, 1983, 54(6): 626-629.
[51] Banakh V A, Buldakov V M. Effect of the initial degree of spatial coherence of a light beam on intensity fluctuations in a turbulent atmosphere[J]. Optics & Spectroscopy, 1983, 55(55): 423-426.
[52] Fante R L. The effect of source temporal coherence on light scintillations in weak turbulence[J]. Journal of the Optical Society of America, 1979, 69(1): 71-73.
[53] Wu J. Propagation of a Gaussian-Schell beam through turbulent media[J]. Journal of Modern Optics, 1990, 37(4): 671-684.
[54] Wu J, Boardman A D. Coherence length of a Gaussian-Schell beam and atmospheric turbulence[J]. Journal of Modern Optics, 1991, 38(7): 1355-1363.
[55] Gbur G, Wolf E. Spreading of partially coherent beams in random media[J]. Journal of the Optical Society of America A, 2002, 19(8): 1592-1598.
[56] Ponomarenko S A, Greffet J J, Wolf E. The diffusion of partially coherent beams in turbulent media[J]. Optics Communications, 2002, 208(1-3): 1-8.
[57] Dogariu A, Amarande S. Propagation of partially coherent beams: Turbulence-induced degradation[J]. Optics Letters, 2003, 28(1): 10-12.
[58] Shirai T, Dogariu A, Wolf E. Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence[J]. Journal of the Optical Society of America A, 2003, 20(6): 1094-1102.
[59] Ricklin J C, Davidson F M. Atmospheric turbulence effects on a partially coherent Gaussian beam: Implications for free-space laser communication[J]. Journal of the Optical Society of America A, 2002, 19(9): 1794-1802.
[60] Ricklin J C, Davidson F M. Atmospheric optical communication with a Gaussian-Schell beam[J]. Journal of the Optical Society of America A, 2003, 20(5): 856-866.
[61] Korotkova O. Model for a partially coherent Gaussian beam in atmospheric turbulence with application in Lasercom[J]. Optical Engineering, 2004, 43(2): 330.
[62] Schulz T J. Iterative transform algorithm for the computation of optimal beams[J]. Journal of the Optical Society of America A, 2004, 21(10): 1970-1974.
[63] Schulz T J. Optimal beams for propagation through random media[J]. Optics Letters, 2005, 30(10): 1093-1095.
[64] Gori F, Guattari G, Padovani C. Modal expansion for J0-correlated Schell-model sources[J]. Optics Communications, 1987, 4(4): 311-316.
[65] Gori F, Santarsiero M. Devising genuine spatial correlation functions[J]. Optics Letters, 2008, 32(24): 3531-3533.
[66] Lajunen H, Saastamoinen T. Propagation characteristics of partially coherent beams with spatially varying correlations[J]. Optics Letters, 2011, 36(20): 4104-4106.
[67] Tong Z, Korotkova O. Electromagnetic nonuniformly correlated beams[J]. Journal of the Optical Society of America A, 2012, 20(24): 2154-2158.
[68] Sahin S, Korotkova O. Light sources generating far fields with tunable flat profiles[J]. Optics Letters, 2012, 37(14): 2970-2972.
[69] Korotkova O, Sahin S, Shchepakina E. Multi-Gaussian Schell-model beams[J]. Journal of the Optical Society of America A, 2012, 29(10): 2159-2164.
[70] Mei Z, Korotkova O, Shchepakina E. Electromagnetic multi-Gaussian Schell-model beams[J]. Journal of Optics, 2012, 15(2): 025705.
[71] Mei Z, Korotkova O. Random sources generating ring-shaped beams[J]. Optics Letters, 2013, 38(2): 91-93.
[72] Chen Y, Liu L, Wang F, et al. Elliptical Laguerre-Gaussian correlated Schell-model beam[J]. Optics Express, 2014, 22(11): 13975-13987.
[73] Chen Y, Yu J, Yuan Y, et al. Theoretical and experimental studies of a rectangular Laguerre-Gaussian-correlated Schell-model beam[J]. Applied Physics B, 2016, 122(2): 31.
[74] Chen Y, Gu J, Wang F, et al. Self-splitting properties of a Hermite-Gaussian correlated Schell-model beam[J]. Physical Review A, 2015, 91(1): 013823.
[75] Chen Y, Wang F, Yu J, et al. Vector Hermite-Gaussian correlated Schell-model beam[J]. Optics Express, 2016, 24(14): 15232-15250.
[76] Mei Z, Korotkova O. Cosine-Gaussian Schell-model sources[J]. Optics Letters, 2013, 38(14): 2578-2580.
[77] Ma L, Ponomarenko S A. Optical coherence gratings and lattices[J]. Optics Letters, 2014, 39(23): 6656-6659.
[78] Ma L, Ponomarenko S A. Free-space propagation of optical coherence lattices and periodicity reciprocity[J]. Optics Express, 2015, 23(2): 1848-1856.
[79] Liang C, Mi C, Wang F, et al. Vector optical coherence lattices generating controllable far-field beam profiles[J]. Optics Express, 2017, 25(9): 9872-9885.
[80] Chen R, Dong Y, Wang F, et al. Statistical properties of a cylindrical vector partially coherent beam in turbulent atmosphere[J]. Applied Physics, 2013, B112(2): 247-259.
[81] Cang J, Fang X, Liu X. Propagation properties of multi-Gaussian Schell-model beams through ABCD optical systems and in atmospheric turbulence[J]. Optics & Laser Technology, 2013, 50: 65-70.
[82] Du S, Yuan Y, Liang C, et al. Second-order moments of a multi-Gaussian Schell-model beam in a turbulent atmosphere[J]. Optics & Laser Technology, 2013, 50: 14-19.
[83] Yuan Y, Liu X, Wang F, et al. Scintillation index of a multi-Gaussian Schell-model beam in turbulent atmosphere[J]. Optics Communications, 2013: 57-65.
[84] Korotkova O, Avramovzamurovic S, Nelson C, et al. Scintillation reduction in multi-Gaussian Schell-model beams propagating in atmospheric turbulence[C]. Proceedings of SPIE, 2014, 9224: 92240M.
[85] Sharifi M, Wu G, Luo B, et al. Beam wander of electromagnetic partially coherent flat-topped beam propagating in turbulent atmosphere[J]. Optik International Journal for Light & Electron Optics, 2014, 125(1): 561-564.
[86] Korotkova O, Shchepakina E. Rectangular Multi-Gaussian Schell-Model beams in atmospheric turbulence[J]. Journal of Optics, 2014, 16(4): 045704.
[87] Wu G, Zhou H, Zhao T, et al. Propagation properties of electromagnetic multi-Gaussian Schell model beams propagating through atmospheric turbulence[J]. Journal of the Korean Physical Society, 2014, 64(6): 826-831.
[88] Mei Z, Shchepakina E, Korotkova O. Propagation of cosine-Gaussian-correlated Schell-model beams in atmospheric turbulence[J]. Optics Express, 2013, 21(15): 17512-17519.
[89] Mei Z, Korotkova O. Electromagnetic cosine-Gaussian Schell-model beams in free space and atmospheric turbulence[J]. Optics Express, 2013, 21(22): 27246-27259.
[90] Xu H F, Zhang Z, Qu J, et al. Propagation factors of cosine-Gaussian-correlated Schell-model beams in non-Kolmogorov turbulence[J]. Optics Express, 2014, 22(19): 22479-22489.
[91] Cang J, Xiu P, Liu X. Propagation of Laguerre-Gaussian and Bessel-Gaussian Schell-model beams through paraxial optical systems in turbulent atmosphere[J]. Optics & Laser Technology, 2013, 54: 35-41.
[92] Wang H, Wang H, Xu Y, et al. Intensity and polarization properties of the partially coherent Laguerre-Gaussian vector beams with vortices propagating through turbulent atmosphere[J]. Optics & Laser Technology, 2014, 56: 1-6.
[93] Chen R, Liu L, Zhu S, et al. Statistical properties of a Laguerre-Gaussian Schell-model beam in turbulent atmosphere[J]. Optics Express, 2014, 22(2): 1871-1883.
[94] Zhou Y, Yuan Y, Qu J, et al. Propagation properties of Laguerre-Gaussian correlated Schell-model beam in non-Kolmogorov turbulence[J]. Optics Express, 2016, 24(10): 10682-10693.
[95] Zhang B, Huang H, Xie C, et al. Twisted rectangular Laguerre-Gaussian correlated sources in anisotropic turbulent atmosphere[J]. Optics Communications, 2020, 459: 125004.
[96] Song Z, Liu Z, Zhou K, et al. Propagation factors of multi-sinc Schell-model beams in non-Kolmogorov turbulence[J]. Optics Express, 2016, 24(2): 1804-1813.
[97] Li J, Suo Q, Chen L. Analysis to beam quality of partially coherent flat-topped vortex beams propagating through atmospheric turbulence[J]. Optik International Journal for Light & Electron Optics, 2016, 127(23): 11342-11348.
[98] Zhu J, Li X, Tang H, et al. Propagation of multi-cosine-Laguerre-Gaussian correlated Schell-model beams in free space and atmospheric turbulence[J]. Optics Express, 2017, 25(17): 20071-20086.
[99] Liu X, Yu J, Cai Y, et al. Propagation of optical coherence lattices in the turbulent atmosphere[J]. Optics Letters, 2016, 41(18): 4182-4185.
[100] Yu J, Chen Y, Liu L, et al. Splitting and combining properties of an elegant Hermite-Gaussian correlated Schell-model beam in Kolmogorov and non-Kolmogorov turbulence[J]. Optics Express, 2015, 23(10): 13467-13481.
[101] Yu J, Zhu X, Wang F, et al. Experimental study of reducing beam wander by modulating the coherence structure of structured light beams[J]. Optics Letters, 2019, 44(17): 4371-4374.
[102] Yu J, Cai Y, Gbur G. Rectangular Hermite non-uniformly correlated beams and its propagation properties[J]. Optics Express, 2018, 26(21): 27894-27906.
[103] Yu J, Wang F, Liu L, et al. Propagation properties of Hermite non-uniformly correlated beams in turbulence[J]. Optics Express, 2018, 26(13): 16333-16343.