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Rytov theory combined with the ABCD ray matrix is used to analyzes the statistical property of a reflected wave from a retro-reflector caused by atmospheric turbulence. The covariance function and the scintillation index of the receiving field caused by the combined effect of the turbulence and the random shaking of the reflector array are deduced on the basis of the mutual statistical independence of the two kinds of effects. The aperture factor and the scintillation of a receiving aperture with a finite size are calculated, and those of the retro-reflector and the array are compared to prove that the array does not change distribution of the intensity fluctuation but amplifies the fluctuation by a factor of 2.
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Keywords:
- atmospheric optics /
- retro-reflector array /
- scintillation index
[1] Goodman J W 1975 Statistical Properties of Laser Speckle Patterns in Laser Speckle and Related Phenomena (Berlin: Springer Berlin Heidelberg)
[2] Kravtsov Y A 1993 Appl. Opt. 32 2681
[3] Tatarskii V A 1971 The Effects of the Turbulent Atmosphere on Wave Propagation (Springfield: US Department of Commerce)
[4] Fante R L 1975 Proc. IEEE 63 1669
[5] Charnotskii M 2010 J. Opt. Soc. Am. A 27 2169
[6] Nelson D H 1999 Ph. D. Dissertation (New Mexico: The University of New Mexico).
[7] Clifford S F, Ochs G R, Lawrence R S 1973 J. Opt. Soc. Am. 64 7
[8] Andrews L C, Miller W B 1995 J. Opt. Soc. Am. A 12 137
[9] Gudimetla V S R, Holmes J F 1982 J. Opt. Soc. Am. 72 1213
[10] Wei H Y, Wu Z S, Peng H 2008 Acta Phys. Sin. 57 6666 (in Chinese) [韦宏艳, 吴振森, 彭辉 2008 物理学报 57 6666]
[11] Zhang Y X 1996 Acta Opt. Sin. 16 666 (in Chinese) [张逸新 1996 光学学报 16 666]
[12] Bufton J L, Iyer R S, Taylor L S 1977 Appl. Opt. 16 2408
[13] Shelton J D 1995 J. Opt. Soc. Am. A 12 2172
[14] Bufton J L 1977 Appl. Opt. 16 2654
[15] Belen’kii M S 1994 J. Opt. Soc. Am. A 11 1150
[16] Belen’kii M S, Mironov V L 1974 Sov. J. Quantum Electron 4 1256
[17] Andrews L C, Phillips R L, Hopen C Y 2000 Opt. Eng. 39 3272
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[1] Goodman J W 1975 Statistical Properties of Laser Speckle Patterns in Laser Speckle and Related Phenomena (Berlin: Springer Berlin Heidelberg)
[2] Kravtsov Y A 1993 Appl. Opt. 32 2681
[3] Tatarskii V A 1971 The Effects of the Turbulent Atmosphere on Wave Propagation (Springfield: US Department of Commerce)
[4] Fante R L 1975 Proc. IEEE 63 1669
[5] Charnotskii M 2010 J. Opt. Soc. Am. A 27 2169
[6] Nelson D H 1999 Ph. D. Dissertation (New Mexico: The University of New Mexico).
[7] Clifford S F, Ochs G R, Lawrence R S 1973 J. Opt. Soc. Am. 64 7
[8] Andrews L C, Miller W B 1995 J. Opt. Soc. Am. A 12 137
[9] Gudimetla V S R, Holmes J F 1982 J. Opt. Soc. Am. 72 1213
[10] Wei H Y, Wu Z S, Peng H 2008 Acta Phys. Sin. 57 6666 (in Chinese) [韦宏艳, 吴振森, 彭辉 2008 物理学报 57 6666]
[11] Zhang Y X 1996 Acta Opt. Sin. 16 666 (in Chinese) [张逸新 1996 光学学报 16 666]
[12] Bufton J L, Iyer R S, Taylor L S 1977 Appl. Opt. 16 2408
[13] Shelton J D 1995 J. Opt. Soc. Am. A 12 2172
[14] Bufton J L 1977 Appl. Opt. 16 2654
[15] Belen’kii M S 1994 J. Opt. Soc. Am. A 11 1150
[16] Belen’kii M S, Mironov V L 1974 Sov. J. Quantum Electron 4 1256
[17] Andrews L C, Phillips R L, Hopen C Y 2000 Opt. Eng. 39 3272
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