• High Power Laser and Particle Beams
  • Vol. 35, Issue 4, 041007 (2023)
Xiaoqing Li and Xiaoling Ji*
Author Affiliations
  • College of Physics and Electronic Engineering, Sichuan Normal University, Chengdu 610068, China
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    DOI: 10.11884/HPLPB202335.220411 Cite this Article
    Xiaoqing Li, Xiaoling Ji. Theoretical research progress on the influence of atmospheric turbulence and thermal blooming on characteristics and beam quality of laser array beams propagating in the atmosphere[J]. High Power Laser and Particle Beams, 2023, 35(4): 041007 Copy Citation Text show less
    References

    [1] Lü Baida, Ma Hong. Coherent and incoherent combinations of off-axis Gaussian beams with rectangular symmetry[J]. Optics Communications, 171, 185-194(1999).

    [2] Ji Xiaoling, Li Xiaoqing. The far-field divergence angle and the far-field radiant intensity distribution of Gaussian Schell-model array beams[J]. Acta Physica Sinica, 58, 4624-4629(2009).

    [3] Lü Baida, Ma Hong. Coherent and incoherent off-axis Hermite–Gaussian beam combinations[J]. Applied Optics, 39, 1279-1289(2000).

    [4] Ren Zhijun, Wu Qiong, Shi Yile, et al. Production of accelerating quad Airy beams and their optical characteristics[J]. Optics Express, 22, 15154-15164(2014).

    [5] Rao Ruizhong. Modern atmospheric optics[M]. Beijing: Science Press, 2012

    [6] rews L C, Phillips R L. Laser beam propagation through rom media[M]. 2nd ed. Bellingham: SPIE Press, 2005.

    [7] Wang Yingjian, Fan Chengyu, Wei Heli. Laser beam propagation applications through the atmosphere sea water[M]. Beijing: National Defense Industry Press, 2015

    [8] Sprangle P, Hafizi B, Ting A, et al. High-power lasers for directed-energy applications[J]. Applied Optics, 54, F201-F209(2015).

    [9] Wu Shuyun, Luo Xi, Li Xinyang. Adaptive optics for reduction of thermal blooming effects by the phase compensation[J]. Journal of Russian Laser Research, 41, 413-423(2020).

    [10] Weyrauch T, Vorontsov M A, Carhart G W, et al. Experimental demonstration of coherent beam combining over a 7 km propagation path[J]. Optics Letters, 36, 4455-4457(2011).

    [11] Baykal Y. Field correlations of laser arrays in atmospheric turbulence[J]. Applied Optics, 53, 1284-1289(2014).

    [12] Zhou Pu, Ma Yanxing, Wang Xiaolin, et al. Average intensity of a partially coherent rectangular flat-topped laser array propagating in a turbulent atmosphere[J]. Applied Optics, 48, 5251-5258(2009).

    [13] Yuan Yangsheng, Cai Yangjian. Scintillation index of a flat-topped beam array in a weakly turbulent atmosphere[J]. Journal of Optics, 13, 125701(2011).

    [14] Wang Kuilong, Zhao Chengliang. Propagation properties of a radial phased-locked partially coherent anomalous hollow beam array in turbulent atmosphere[J]. Optics & Laser Technology, 57, 44-51(2014).

    [15] Li Xiaoqing, Ji Xiaoling. Angular spread and directionality of the Hermite-Gaussian array beam propagating through atmospheric turbulence[J]. Applied Optics, 48, 4338-4347(2009).

    [16] Li Xiaolei, Ji Xiaoling, Eyyuboğlu H T, et al. Turbulence distance of radial Gaussian Schell-model array beams[J]. Applied Physics B, 98, 557-565(2010).

    [17] Gebhardt F G. Twentyfive years of thermal blooming: an overview[C]Proceedings of SPIE 1221, Propagation of HighEnergy Laser Beams Through the Earth’s Atmosphere. 1990: 225.

    [18] Smith D C. High-power laser propagation: Thermal blooming[J]. Proceedings of the IEEE, 65, 1679-1714(1977).

    [19] Fleck J A, Morris J R, Feit M D. Time-dependent propagation of high energy laser beams through the atmosphere[J]. Applied Physics, 10, 129-160(1976).

    [20] Qiang Xiwen, Wang Tieliang, Wu Naiqing. Multi-laser-beams atmospheric propagation[J]. Optoelectronic Technology, 19, 167-172(1999).

    [21] Banakh V A, Falits A V. Numerical simulation of propagation of laser beams formed by multielement apertures in a turbulent atmosphere under thermal blooming[J]. Atmospheric and Oceanic Optics, 26, 455-465(2013).

    [22] Spencer M F, Hyde IV M W. Phased beam projection from tiled apertures in the presence of turbulence thermal blooming[C]Proceedings of SPIE 8877, Unconventional Imaging Wavefront Sensing 2013. 2013: 887703.

    [23] Zhang Yuqiu, Hou Tianyue, Chang Hongxiang, et al. Thermal blooming effect and the scaling laws of partial spatially coherent beam array propagating through the atmosphere[J]. Results in Physics, 26, 104444(2021).

    [24] Qiu Die, Tian Boyu, Ting He, et al. Mitigation of thermal blooming by rotating laser beams in the atmosphere[J]. Applied Optics, 60, 8458-8465(2021).

    [25] Li Xiaoqing, Cao Jianyong, Ding Zhoulin, et al. Influence of fill factors on the thermal blooming of array laser beams in the air[J]. Optik, 182, 314-323(2019).

    [26] Ding Zhoulin, Li Xiaoqing, Cao Jianyong, et al. Influence of thermal blooming on the beam quality of an array of Hermite–Gaussian beams propagating in the atmosphere[J]. Applied Optics, 59, 10944-10952(2020).

    [27] Li Xiaoqing, Cao Jianyong, Ding Zhoulin, . Thermal blooming effect of flat-topped laser beam array propagating through atmosphere[J]. Acta Optica Sinica, 39, 0126020(2019).

    [28] Liu Zejin, Zhou Pu, Xu Xiaojun, et al. Coherent beam combining of high average power fiber lasers[M]. Beijing: National Defense Industry Press, 2016

    [29] 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, 20, 1094-1102(2003).

    [30] Ji Xiaoling, Zhang Entao, Lü Baida. Changes in the spectrum of Gaussian Schell-model beams propagating through turbulent atmosphere[J]. Optics Communications, 259, 1-6(2006).

    [31] Ji Xiaoling, Li Xiaoqing. Influence of turbulence on the coherent and incoherent combinations of off-axis Gaussian beams[J]. Acta Physica Sinica, 57, 7674-7679(2008).

    [32] Ji Xiaoling, Zhang E T, Lü B D. Propagation of multi-Gaussian beams in incoherent combination through turbulent atmosphere and their beam quality[J]. Journal of Modern Optics, 53, 2111-2127(2006).

    [33] Dragoman D. Higher-order moments of the Wigner distribution function in first-order optical systems[J]. Journal of the Optical Society of America. A, 11, 2643-2646(1994).

    [34] Chu Xiuxiang. Evolution of an Airy beam in turbulence[J]. Optics Letters, 36, 2701-2703(2011).

    [35] Li Xiaoqing, Ji Xiaoling. Propagation of higher-order intensity moments through an optical system in atmospheric turbulence[J]. Optics Communications, 298-299, 1-7(2013).

    [36] Dan Youquan, Zhang Bin. Second moments of partially coherent beams in atmospheric turbulence[J]. Optics Letters, 34, 563-565(2009).

    [37] Wang S C H, Plonus M A, Ouyang C F. Irradiance scintillations of a partially coherent source in extremely strong turbulence[J]. Applied Optics, 18, 1133-1135(1979).

    [38] Leader J C. Atmospheric propagation of partially coherent radiation[J]. Journal of the Optical Society of America, 68, 175-185(1978).

    [39] Wigner E. On the quantum correction for thermodynamic equilibrium[J]. Physical Review, 40, 749-759(1932).

    [40] Walther A. Radiometry and coherence[J]. Journal of the Optical Society of America, 58, 1256-1259(1968).

    [41] Ozaktas H M, Kutay M A, Zalevsky Z. The fractional Fourier transfm with applications in optics signal processing[M]. New Yk: John Wiley & Sons, 2000.

    [42] Martínez-Herrero R, Mejías P M, Weber H. On the different definitions of laser beam moments[J]. Optical and Quantum Electronics, 25, 423-428(1993).

    [43] Weber H. Propagation of higher-order intensity moments in quadratic-index media[J]. Optical and Quantum Electronics, 24, S1027-S1049(1992).

    [44] Li Xiaoqing, Ji Xiaoling, Wang Tao, et al. Matrix formulation of higher-order moments of partially coherent beams propagating through atmospheric turbulence along a slanted path[J]. Journal of Optics, 15, 125720(2013).

    [45] Yang Ting, Ji X Liaoling, Li Xiaoqing, et al. Changes of skewness and sharpness of partially coherent decentered annular beams on propagation[J]. Optics Communications, 359, 146-156(2016).

    [46] Jiang Shaoen, Sun Jingwen. Simulation and analysis of nonlinear effect of laser atmospheric propagation[J]. Chinese Journal of Lasers, 23, 144-150(1996).

    [47] Herman B J, Strugala L A. Method f inclusion of lowfrequency contributions in numerical representation of atmospheric turbulence[C]Proceedings of SPIE. 1990: 183192.

    [48] Dai Guangming, Mahajan V N. Zernike annular polynomials and atmospheric turbulence[J]. Journal of the Optical Society of America A, 24, 139-155(2007).

    [49] Gebhardt F G, Smith D C. Self-induced thermal distortion in the near field for a laser beam in a moving medium[J]. IEEE Journal of Quantum Electronics, 7, 63-73(1971).

    [50] Chen Dongquan, Li Youkuan, Xu Xishen, . Numerical simulation of thermal blooming in atmospheric laser propagation[J]. High Power Laser and Particle Beams, 5, 243-252(1993).

    [51] Young C Y, Gilchrest Y V, Macon B R. Turbulence induced beam spreading of higher order mode optical waves[J]. Optical Engineering, 41, 1097-1103(2002).

    [52] Cai Yangjian, He Sailing. Average intensity and spreading of an elliptical Gaussian beam propagating in a turbulent atmosphere[J]. Optics Letters, 31, 568-570(2006).

    [53] Eyyuboğlu H T, Baykal Y, Sermutlu E. Convergence of general beams into Gaussian intensity profiles after propagation in turbulent atmosphere[J]. Optics Communications, 265, 399-405(2006).

    [54] Li Xiaoqing, Chen Xiaowen, Ji Xiaoling. Influence of atmospheric turbulence on the propagation of superimposed partially coherent Hermite-Gaussian beams[J]. Optics Communications, 282, 7-13(2009).

    [55] Mahdieh M H. Numerical approach to laser beam propagation through turbulent atmosphere and evaluation of beam quality factor[J]. Optics Communications, 281, 3395-3402(2008).

    [56] Dan Youquan, Zhang Bin. Beam propagation factor of partially coherent flat-topped beams in a turbulent atmosphere[J]. Optics Express, 16, 15563-15575(2008).

    [57] Shirai T, Dogariu A, Wolf E. Directionality of Gaussian Schell-model beams propagating in atmospheric turbulence[J]. Optics Letters, 28, 610-612(2003).

    [58] Ji Xiaoling, Pu Zhengcai. Angular spread of Gaussian Schell-model array beams propagating through atmospheric turbulence[J]. Applied Physics B, 93, 915-923(2008).

    [59] Ji Xiaoling, Eyyuboğlu H T, Baykal Y. Influence of turbulence on the effective radius of curvature of radial Gaussian array beams[J]. Optics Express, 18, 6922-6928(2010).

    [60] Lü Baida. Laser optics[M]. 3rd ed. Beijing: Higher Education Press, 2003

    [61] Wolf E, Collett E. Partially coherent sources which produce the same far-field intensity distribution as a laser[J]. Optics Communications, 25, 293-296(1978).

    [62] Ji Xiaoling. Influence of the atmospheric turbulence on propagation properties of laser beams[J]. Journal of Sichuan Normal University (Natural Science), 35, 127-136(2012).

    [63] Porras M A, Alda J, Bernabeu E. Complex beam parameter and ABCD law for non-Gaussian and nonspherical light beams[J]. Applied Optics, 31, 6389-6402(1992).

    [64] 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, 19, 1794-1802(2002).

    [65] Gbur G, Wolf E. Spreading of partially coherent beams in random media[J]. Journal of the Optical Society of America A, 19, 1592-1598(2002).

    [66] Lu Lu, Ji Xiaoling, Deng Jinping, . Influence of non-Kolmogorov turbulence on the spreading of Gaussian array beams[J]. Acta Physica Sinica, 63, 014207(2014).

    [67] Van Zandt N R, Cusumano S J, Bartell R J, et al. Comparison of coherent and incoherent laser beam combination for tactical engagements[J]. Optical Engineering, 51, 104301(2012).

    [68] Zhou Pu, Wang Xiaolin, Ma Yanxing, et al. Optimal truncation of element beam in a coherent fiber laser array[J]. Chinese Physics Letters, 26, 044206(2009).

    [69] Siegman A E. How to (Maybe) measure laser beam quality[C]OSA Trends in Optics Photonic. 1998: 184199.

    [70] Wan Min, Su Yi. Computation and analysis on focus shift of laser caused by atmospheric thermal blooming[J]. Chinese Journal of Computational Physics, 19, 449-452(2002).

    Xiaoqing Li, Xiaoling Ji. Theoretical research progress on the influence of atmospheric turbulence and thermal blooming on characteristics and beam quality of laser array beams propagating in the atmosphere[J]. High Power Laser and Particle Beams, 2023, 35(4): 041007
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