[1] E Wolf. Invariance of the spectrum of light on propagation [J]. Phys Rev Lett, 1986, 56(13): 1370-1372.

[2] J Pu, H Zhang, S Nemoto. Spectral shifts and spectral switches of partially coherent light passing through an aperture [J]. Opt Commun, 1999, 162(1–3): 57-63.

[3] G Gbur, T D Visser, E Wolf. Singular behavior of the spectrum in the neighborhood of focus [J]. J Opt Soc Am A, 2002, 19(8): 1694-1700.

[4] G Gbur, T D Visser, E Wolf. Anomalous behavior of spectra near phase singularities of focused waves [J]. Phys Rev Lett, 2002, 88(1): 013901.

[5] Chen Senhui, Zhang Tingrong, Huang Yongchao, et al.. Spectrum properties of Gaussian-Shell mode beam in the chromatics aberrated fractional fourier transforms system [J]. Acta Optica Sinica, 2011, 31(1): 0107001.

[6] J W Strohbehn. Laser Beam Propagation in the Atmosphere [M]. New York: Springer-Verlag, 1978.

[7] L C Andrews, R L Phillips. Laser Beam Propagation through Random Media [M]. Bellingham: SPIE Press, 2005.

[8] Li Jinhong, Lü Baida. Comparative study of the partially coherent vortex beam propagation through atmospheric turbulence along an uplink path and a downlink path [J]. Acta Physics Sinica, 2011, 60(7): 074205.

[9] Li Xiaoqing, Ji Xiaoling. Beam matrix in terms of second-order moments of truncated beams [J]. Acta Optica Sinica, 2012, 32(7): 0701003.

[10] H Roychowdhury, E Wolf. Invariance of spectrum of light generated by a class of quasi-homogenous sources on propagation through turbulence [J]. Opt Commun, 2004, 241(1): 11-15.

[11] X Ji, E Zhang, B Lü. Changes in the spectrum of Gaussian Schell model beams propagating through turbulent atmosphere [J]. Opt Commun, 2006, 259(1): 1-6.

[12] M Alavinejad, B Ghafary, D Razzaghi. Spectral changes of partially coherent flat topped beam in turbulent atmosphere [J]. Opt Commun, 2008, 281(8): 2173-2178.

[13] C Ding, L Pan, B Lü. Effect of turbulence on the spectral switches of diffracted spatially and spectrally partially coherent pulsed beams in atmospheric turbulence [J]. J Opt A, 2009, 11(10): 105404.

[14] X Ji, X Chen. Changes in the polarization, the coherence and the spectrum of partially coherent electromagnetic Hermite-Gaussian beams in turbulence [J]. Opt Laser Technol, 2009, 41(2): 165-171.

[15] D Razzaghi, F Hajiesmaeilbaigi, M Alavinejad. Turbulence induced changes in spectrum and time shape of fully coherent Gaussian pulses propagating in atmosphere [J]. Opt Commun, 2010, 283(11): 2318-2323.

[16] E Shchepakina, N Farwell, O Korotkova. Spectral changes in stochastic light beams propagating in turbulent ocean [J]. Appl Phys B, 2011, 105(2): 415-420.

[17] A Zilberman, E Golbraikh, N S Kopeika, et al.. Lidar study of aerosol turbulence characteristics in the troposphere: Kolmogorov and non-Kolmogorov turbulence [J]. Atmo Res, 2008, 88(1): 66-77.

[18] Toselli, L C Andrews, R L Phillips, et al.. Free space optical system performance for laser beam propagation through non Kolmogorov turbulence for uplink and downlink paths [C]. SPIE, 2007, 6708: 670803.

[19] O Korotkova, E Shchepakina. Color changes in stochastic light fields propagating in non-Kolmogorov turbulence [J]. Opt Lett, 2010, 35(22): 3772-3774.

[20] H Xu, Z Cui, J Qu. Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence [J]. Opt Express, 2011, 19(22): 21163-21173.

[21] G Wu, H Guo, S Yu, et al.. Spreading and direction of Gaussian-Schell model beam through a non-Kolmogorov turbulence [J]. Opt Lett, 2010, 35(5): 715-717.

[22] L Mandel, E Wolf. Optical Coherence and Quantum Optics [M]. Cambridge: Cambridge University Press, 1995.

[23] Toselli, L C Andrews, R L Phillips, et al.. Scintillation index of optical plane wave propagating through non-Kolmogorov moderate-strong turbulence [C]. SPIE, 2007, 6747: 67470B.

[24] S Gradshteyn, I M Ryzhik. Table of Integrals, Series and Products [M]. New York: Academic Press, 2007.