Abstract
The on-axis scintillation index for a circular dark hollow beam (DHB) propagating in a weak turbulent atmosphere is formulated, and the scintillation properties of a DHB are investigated in detail. The scintillation index for a DHB reduces to the scintillation index for a Gaussian beam, an annular beam and a flat-topped beam under certain conditions. It is found that the scintillation index of a DHB is closely related to the beam parameters and can be lower than that of a Gaussian beam, an annular beam and a flat-topped beam in a weak turbulent atmosphere at smaller waist sizes and longer propagation lengths.
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J. Yin, W. Gao, Y. Zhu, Generation of dark hollow beams and their applications, in Progress in Optics, vol. 44, ed. by E. Wolf (North-Holland, Amsterdam, 2003), pp. 119–204
T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, H. Sasada, Phys. Rev. Lett. 78, 4713 (1997)
H. Ito, T. Nakata, K. Sakaki, M. Ohtsu, K.I. Lee, W. Jhe, Phys. Rev. Lett. 76, 4500 (1996)
J. Yin, Y. Zhu, W. Jhe, Y. Wang, Phys. Rev. A 58, 509 (1998)
M.J. Renn, D. Montgomery, O. Vdovin, D.Z. Anderson, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 75, 3253 (1995)
J. Yin, Y. Zhu, W. Wang, Y. Wang, W. Jhe, J. Opt. Soc. Am. B 15, 25 (1998)
Z. Wang, J. Yin, Z. Wang, Opt. Express 14, 9551 (2006)
Y.K. Wu, J. Li, J. Wu, Phys. Rev. Lett. 94, 134802 (2005)
N.R. Heckenberg, R. McDuff, C.P. Smith, A.G. White, Opt. Lett. 17, 221 (1992)
X. Wang, M.G. Littman, Opt. Lett. 18, 767 (1993)
J. Arlt, K. Dholakia, Opt. Commun. 177, 297 (2000)
R. Chakraborty, A. Ghosh, J. Opt. Soc. Am. A 23, 2278 (2006)
Z. Liu, H. Zhao, J. Liu, J. Lin, M.A. Ahmad, S. Liu, Opt. Lett. 32, 2076 (2007)
F. Gori, G. Guattari, C. Padovani, Opt. Commun. 64, 491 (1987)
J.C. Gutierrez-Vega, M.D. Iturbe-Castillo, S. Chavez-Cerda, Opt. Lett. 25, 1493 (2000)
Y. Cai, X. Lu, Q. Lin, Opt. Lett. 28, 1084 (2003)
Y. Cai, Q. Lin, J. Opt. Soc. Am. A 21, 1058 (2004)
Z. Mei, D. Zhao, J. Opt. Soc. Am. A 22, 1898 (2005)
Y. Cai, C. Chen, F. Wang, Opt. Commun. 278, 34 (2007)
Y. Cai, L. Zhang, Opt. Commun. 265, 607 (2006)
Y. Cai, S. He, J. Opt. Soc. Am. A 23, 1410 (2006)
Y. Cai, L. Zhang, J. Opt. Soc. Am. B 23, 1398 (2006)
X. Lu, Y. Cai, Phys. Lett. A 369, 157 (2007)
H.T. Eyyuboğlu, Opt. Laser Technol. 40, 156 (2008)
A. Ishimaru, Wave Propagation and Scattering in Random Media, vol. 2 (Academic, New York, 1978)
L.C. Andrews, R.L. Phillips, Laser Beam Propagation Through Random Media (SPIE, Bellingham, WA, 2005)
H.T. Yura, Appl. Opt. 11, 1399 (1972)
V.A. Banakh, V.L. Mironov, Opt. Lett. 1, 172 (1977)
V.A. Banakh, V.L. Mironov, Opt. Lett. 4, 259 (1979)
S.C.H. Wang, M.A. Plonus, J. Opt. Soc. Am. 69, 1297 (1979)
C.Y. Young, Y.V. Gilchrest, B.R. Macon, Opt. Eng. 41, 1097 (2002)
T. Shirai, A. Dogariu, E. Wolf, J. Opt. Soc. Am. A 20, 1094 (2003)
H.T. Eyyuboğlu, Y. Baykal, Opt. Express 12, 4659 (2004)
H.T. Eyyuboğlu, A. Arpali, Y. Baykal, Opt. Express 14, 4196 (2006)
C. Arpali, C. Yazicioglu, H.T. Eyyuboğlu, S.A. Arpali, Y. Baykal, Opt. Express 14, 8919 (2006)
Y. Cai, S. He, Opt. Lett. 31, 568 (2006)
Y. Cai, S. He, Appl. Phys. Lett. 89, 041117 (2006)
Y. Cai, J. Opt. A Pure Appl. Opt. 8, 537 (2006)
Y. Cai, Y. Chen, H.T. Eyyuboğlu, Y. Baykal, Appl. Phys. B 88, 467 (2007)
Y. Cai, S. He, Opt. Express 14, 1353 (2006)
L.C. Andrews, R.L. Phillips, C.Y. Hopen, Laser Beam Scintillation with Applications (SPIE, Bellingham, WA, 2001)
V.A. Banakh, G.M. Krekov, V.L. Mironov, S.S. Khmelevtsov, R.S. Tsvik, J. Opt. Soc. Am. 64, 516 (1974)
Y. Cai, Y. Chen, H.T. Eyyuboğlu, Y. Baykal, Opt. Lett. 32, 2405 (2007)
O. Korotkova, Proc. SPIE 6105, 61050V (2006)
L.C. Andrews, M.A. Al-Habash, C.Y. Hopen, R.L. Phillips, Waves Random Media 11, 271 (2001)
F.E.S. Vetelino, L.C. Andrews, Proc. SPIE 5160, 86 (2004)
Y. Baykal, H.T. Eyyuboğlu, Appl. Opt. 45, 3793 (2006)
D.C. Cowan, J. Recolons, L.C. Andrews, C.Y. Young, Proc. SPIE 6215, 62150B (2006)
H.T. Eyyuboğlu, Y. Baykal, J. Opt. Soc. Am. A 24, 156 (2007)
H.T. Eyyuboğlu, Y. Baykal, Appl. Opt. 46, 1099 (2007)
P.A. Konyaev, V.P. Lukin, V.A. Sennikov, in ICONO/LAT (Minsk, 2007), p. 112
Y. Li, Opt. Lett. 27, 1007 (2002)
Y. Baykal, J. Opt. Soc. Am. A 23, 889 (2006)
Y. Baykal, J. Opt. Soc. Am. A 21, 1290 (2004)
I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series and Products (Academic, San Diego, CA, 2000)
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42.25.Bs; 42.68.Ay
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Chen, Y., Cai, Y., Eyyuboğlu, H. et al. Scintillation properties of dark hollow beams in a weak turbulent atmosphere. Appl. Phys. B 90, 87–92 (2008). https://doi.org/10.1007/s00340-007-2825-1
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DOI: https://doi.org/10.1007/s00340-007-2825-1