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激光在湍流大气中的传输有重要的理论研究和实际应用意义.以高斯-谢尔模型(GSM)光束作为部分空间相干光的典型例,基于非Kolmogorov谱和广义惠更斯-菲涅耳原理, 推导出GSM光束在非Kolmogorov湍流中的有效曲率半径的解析表达式. 重点研究了湍流参数(包括广义指数,内尺度l0,和外尺度L0) 和传输距离z分别对GSM光束有效曲率半径的影响.结果表明, 有效曲率半径Rx(z)随和z增加先减小然后再增大, 随L0的减小而增大(3.6 4),随l0的增加而增大.并对结果做了物理解释.
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关键词:
- 非Kolmogorov湍流 /
- 有效曲率半径 /
- 高斯-谢尔模型光束
The laser beam propagation through atmospheric turbulence is of importance for both theoretical study and practical applications. Taking the Gaussian Schell-model (GSM) beam as a typical example of spatially partially coherent beams,based on the non-Kolmogorov spectrum and generalized Huygens-Fresnel principle, the analytical expression for the effective radius of curvature of GSM beams propagating through non-Kolmogorov turbulence is derived. The effects of turbulence parameters (including generalized exponent parameter, inner scale l0, and outer scale L0) and propagation distance z on the effective radius of curvature of GSM beams are stressed. It is shown that the effective radius of curvature of GSM beams increases with outer scale L0 decreasing for 3.6 4 and the inner scale l0 increasing, but dose not monotonically vary with the increases of exponent parameter and propagation distance z. The results are explained physically.[1] Wu J 1990 J. Mod. Opt. 37 671
[2] Dogariu A, Amarande S 2003 Opt. Lett. 28 10
[3] Ji X L, Chen X W, Lü B D 2008 J. Opt. Soc. Am. A 25 21
[4] Yang A L, Zhang E T, Ji X L, Lü B D 2009 Opt. Laser Technol. 41 714
[5] Dan Y Q, Zhang B 2009 Opt. Lett. 34 563
[6] Eyyuboglu H T 2008 Opt. Laser Technol. 40 156
[7] Baykal Y 2006 J. Opt. Soc. Am. A 23 889
[8] Huang Y P, Zhang B, Dan Y Q, Qiao N 2011 High Power Laser Particle Beams 23 59 (in Chinese) [黄永平, 张彬, 但有全, 乔娜 2011 强激光与粒子束 23 59]
[9] Ji X L, Pu Z C 2010 Chin. Phys. B 19 029201
[10] Chu X X 2011 Chin. Phys. B 20 014207
[11] Chen X W, Tang M Y, Ji X L 2008 Acta Phys. Sin. 57 2607 (in Chinese) [陈晓文, 汤明玥, 季小玲 2008 57 2607]
[12] Ji G M, Ji X L 2010 Opt. Laser Technol. 42 1054
[13] Ji X L, Li X Q 2010 J. Opt. 12 1
[14] Ji X L, Eyyuboglu H T, Baykal Y 2010 Opt. Express 18 6922
[15] Ji X L 2010 Acta Phys. Sin. 59 3953 (in Chinese) [季小玲 2010 59 3953]
[16] Eyyuboglu H T, Ji X L 2010 Appl. Phys. B 101 353
[17] Ji X L 2010 Acta Opt. in. 30 2845 (in Chinese) [季小玲 2010 光学学报 30 2845]
[18] Dayton D, Pierson B, Spielbusch B, Gonglewski J 1992 Opt. Lett. 17 1737
[19] Golbraikh E, Moiseev S S 2002 Phys. Lett. A 305 173
[20] Rao C H, Jiang W H, Ling N 2000 J. Mod. Opt. 47 1111
[21] Toselli I, Andrews L C, Phillips R L, Ferrero V 2007 Proc. SPIE 6457 65510E-1
[22] Toselli I, Andrews L C, Phillips R L, Ferrero V 2008 Opt. Eng. 47 026003
[23] Toselli I, Andrews L C, Phillips R L, Ferrero V 2009 IEEE Trans. Antennas Propag. 57 1783
[24] Wu G H, Guo H, Yu S, Luo B 2010 Opt. Lett. 35 715
[25] He X M, Lü B D 2011 Chin. Phys. B 20 094210
[26] Wu G H, Zhao T G, Ren J H, Zhang J Y, Zhang X L, Li W H 2011 Opt. Laser Technol. 43 1225
[27] Gase R 1991 J. Mod. Opt. 38 1107
[28] Bastiaans M J 1986 Opt. Soc. Am. A 3 1227
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[1] Wu J 1990 J. Mod. Opt. 37 671
[2] Dogariu A, Amarande S 2003 Opt. Lett. 28 10
[3] Ji X L, Chen X W, Lü B D 2008 J. Opt. Soc. Am. A 25 21
[4] Yang A L, Zhang E T, Ji X L, Lü B D 2009 Opt. Laser Technol. 41 714
[5] Dan Y Q, Zhang B 2009 Opt. Lett. 34 563
[6] Eyyuboglu H T 2008 Opt. Laser Technol. 40 156
[7] Baykal Y 2006 J. Opt. Soc. Am. A 23 889
[8] Huang Y P, Zhang B, Dan Y Q, Qiao N 2011 High Power Laser Particle Beams 23 59 (in Chinese) [黄永平, 张彬, 但有全, 乔娜 2011 强激光与粒子束 23 59]
[9] Ji X L, Pu Z C 2010 Chin. Phys. B 19 029201
[10] Chu X X 2011 Chin. Phys. B 20 014207
[11] Chen X W, Tang M Y, Ji X L 2008 Acta Phys. Sin. 57 2607 (in Chinese) [陈晓文, 汤明玥, 季小玲 2008 57 2607]
[12] Ji G M, Ji X L 2010 Opt. Laser Technol. 42 1054
[13] Ji X L, Li X Q 2010 J. Opt. 12 1
[14] Ji X L, Eyyuboglu H T, Baykal Y 2010 Opt. Express 18 6922
[15] Ji X L 2010 Acta Phys. Sin. 59 3953 (in Chinese) [季小玲 2010 59 3953]
[16] Eyyuboglu H T, Ji X L 2010 Appl. Phys. B 101 353
[17] Ji X L 2010 Acta Opt. in. 30 2845 (in Chinese) [季小玲 2010 光学学报 30 2845]
[18] Dayton D, Pierson B, Spielbusch B, Gonglewski J 1992 Opt. Lett. 17 1737
[19] Golbraikh E, Moiseev S S 2002 Phys. Lett. A 305 173
[20] Rao C H, Jiang W H, Ling N 2000 J. Mod. Opt. 47 1111
[21] Toselli I, Andrews L C, Phillips R L, Ferrero V 2007 Proc. SPIE 6457 65510E-1
[22] Toselli I, Andrews L C, Phillips R L, Ferrero V 2008 Opt. Eng. 47 026003
[23] Toselli I, Andrews L C, Phillips R L, Ferrero V 2009 IEEE Trans. Antennas Propag. 57 1783
[24] Wu G H, Guo H, Yu S, Luo B 2010 Opt. Lett. 35 715
[25] He X M, Lü B D 2011 Chin. Phys. B 20 094210
[26] Wu G H, Zhao T G, Ren J H, Zhang J Y, Zhang X L, Li W H 2011 Opt. Laser Technol. 43 1225
[27] Gase R 1991 J. Mod. Opt. 38 1107
[28] Bastiaans M J 1986 Opt. Soc. Am. A 3 1227
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