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The change in coherence length of Gauss-Schell model beam propagating in atmospheric turbulence is studied by comparing with propagation in free space. The coherence length change only depends on source parameters in free space while its change in turbulence is governed by source parameters and turbulence. Beam spreading results in an increase in the coherence length in vacuum. For propagation in turbulence, the coherence length increases due to beam spreading over relatively short distance while decreases on account of the enhancement of turbulence over a sufficiently long distance. Thus, the simple analysis of the influence of turbulence on the coherence length is not mature enough. In order to exclude the effect of beam spreading, the ratio of coherence length to beam size is employed. It is found that atmospheric turbulence always leads to the decline of ratio. The explanations, based on numerical simulation, of above-mentioned results are given in this paper.
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Keywords:
- partial coherence /
- atmospheric turbulence /
- Gauss-Schell model /
- beam spreading
[1] Shirai T, Wolf E 2002 Opt. Commun. 204 25
[2] Deschamps J, Courjon D, Bulabois J 1983 J. Opt. Soc. Am. 73 256
[3] Jian W 1990 J. Mod. Opt. 37 671
[4] Gase R 1991 J. Mod. Opt. 38 1107
[5] Andrews L C 2005 Laser Beam Propagation through Random Media (Washington: SPIE) p67, pp500–510
[6] Clifford S E, Gracheva M E, Ishimaru A 1978 Laser Beam Propagation in the Atmosphere (New York: Springer) pp129–168
[7] Andrews L C 2001 Laser Beam Scintillation with Applications (Washington: SPIE) pp1–60
[8] Collett E, Wolf E 1978 Opt. Lett. 2 27
[9] Friberg A T, Sudol R J 1983 Opt. Acta: Int. J. Opt. 30 1075
[10] Salem M, Korotkova O, Dogariu A, Wolf E 2004 Waves in Random Media 14 513
[11] Korotkova O, Salem M, Wolf E 2004 Opt. Commun. 233 225
[12] Cheng K, L B D 2009 Acta Phys. Sin. 58 250 (in Chinese) [程科, 吕百达 2009 58 250]
[13] Ji X L, Li X Q 2009 Acta Phys. Sin. 58 4624 (in Chinese) [季小玲, 李晓庆 2009 58 4624]
[14] L S Y, L B D 2009 Chin. Phys. B 18 3883
[15] Wu J, Boardman A D 1991 J. Mod. Opt. 38 1355
[16] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press) p279
[17] Roychowdhury H, Ponomarenko S A, Wolf E 2005 J. Mod. Opt. 52 1611
[18] L B D 2003 Laser Optics: Beam Characterization, Propagation and Transformation, Resonator Technology and Physics (Beijing: Higher Education Press) p203 (in Chinese) [吕百达 2003 激光光学: 光束描述, 传输变换与光腔技术物理(北京: 高等教育出版社)第203页]
[19] Born M, Wolf E 2005 Principles of Optics (Cambridge: Cambridge University Press) p564
[20] Collett E, Wolf E 1980 Opt. Commun. 32 27
[21] Foley J T, Zubairy M S 1978 Opt. Commun. 26 297
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[1] Shirai T, Wolf E 2002 Opt. Commun. 204 25
[2] Deschamps J, Courjon D, Bulabois J 1983 J. Opt. Soc. Am. 73 256
[3] Jian W 1990 J. Mod. Opt. 37 671
[4] Gase R 1991 J. Mod. Opt. 38 1107
[5] Andrews L C 2005 Laser Beam Propagation through Random Media (Washington: SPIE) p67, pp500–510
[6] Clifford S E, Gracheva M E, Ishimaru A 1978 Laser Beam Propagation in the Atmosphere (New York: Springer) pp129–168
[7] Andrews L C 2001 Laser Beam Scintillation with Applications (Washington: SPIE) pp1–60
[8] Collett E, Wolf E 1978 Opt. Lett. 2 27
[9] Friberg A T, Sudol R J 1983 Opt. Acta: Int. J. Opt. 30 1075
[10] Salem M, Korotkova O, Dogariu A, Wolf E 2004 Waves in Random Media 14 513
[11] Korotkova O, Salem M, Wolf E 2004 Opt. Commun. 233 225
[12] Cheng K, L B D 2009 Acta Phys. Sin. 58 250 (in Chinese) [程科, 吕百达 2009 58 250]
[13] Ji X L, Li X Q 2009 Acta Phys. Sin. 58 4624 (in Chinese) [季小玲, 李晓庆 2009 58 4624]
[14] L S Y, L B D 2009 Chin. Phys. B 18 3883
[15] Wu J, Boardman A D 1991 J. Mod. Opt. 38 1355
[16] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press) p279
[17] Roychowdhury H, Ponomarenko S A, Wolf E 2005 J. Mod. Opt. 52 1611
[18] L B D 2003 Laser Optics: Beam Characterization, Propagation and Transformation, Resonator Technology and Physics (Beijing: Higher Education Press) p203 (in Chinese) [吕百达 2003 激光光学: 光束描述, 传输变换与光腔技术物理(北京: 高等教育出版社)第203页]
[19] Born M, Wolf E 2005 Principles of Optics (Cambridge: Cambridge University Press) p564
[20] Collett E, Wolf E 1980 Opt. Commun. 32 27
[21] Foley J T, Zubairy M S 1978 Opt. Commun. 26 297
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