Mathematic model analysis of Gaussian beam propagation through an arbitrary thickness random phase screen

doi:10.1364/OE.19.018216

Mathematic model analysis of Gaussian beam propagation through an arbitrary thickness random phase screen

Yuzhen Tian, Jin Guo, Rui Wang, and Tingfeng Wang »View Author Affiliations

Optics Express, Vol. 19, Issue 19, pp. 18216-18228 (2011)
http://dx.doi.org/10.1364/OE.19.018216

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Abstract
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References (15)
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Abstract

In order to research the statistical properties of Gaussian beam propagation through an arbitrary thickness random phase screen for adaptive optics and laser communication application in the laboratory, we establish mathematic models of statistical quantities, which are based on the Rytov method and the thin phase screen model, involved in the propagation process. And the analytic results are developed for an arbitrary thickness phase screen based on the Kolmogorov power spectrum. The comparison between the arbitrary thickness phase screen and the thin phase screen shows that it is more suitable for our results to describe the generalized case, especially the scintillation index.

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: July 7, 2011
Revised Manuscript: August 15, 2011
Manuscript Accepted: August 22, 2011
Published: September 1, 2011

Citation
Yuzhen Tian, Jin Guo, Rui Wang, and Tingfeng Wang, "Mathematic model analysis of Gaussian beam propagation through an arbitrary thickness random phase screen," Opt. Express 19, 18216-18228 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-19-18216

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References

C. Chao, L. Hu, and Q. Mu, “Bandwidth requires of adaptive optical system for horizontal turbulence correction,” Opt. Precision Eng.18(10), 2137–3142 (2010).
B. Wang, Z.-y. Wang, J.-l. Wang, J.-Y. Zhao, Y.-H. Wu, S.-X Zhang, L. Dong, and M. Wen, “Phase-diverse speckle imaging with two cameras,” Opt. Precision Eng.19(6), 1384–1390 (2011). [CrossRef]
H. G. Booker, J. A. Ferguson, and H. O. Vats, “Comparison between the extended-medium and the phase-screen scintillation theories,” J. Atmos. Terr. Phys.47(38), 1–399 (1985). [CrossRef]
L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
L. C. Andrews, R. L. Phillips, and A. R. Weeks, “Propagation of a Gaussian-beam wave through a random phase screen,” Waves Random Media7(2), 229–244 (1997). [CrossRef]
L. C. Andrews, W. B. Miller, and J. C. Ricklin, “Propagation through complex optical system: a phase screen analysis,” SPIE2312, 122–129 (1994). [CrossRef]
L. C. Andrews and W. B. Miller, “Single- and double-pass propagation through complex paraxial optical systems,” J. Opt. Soc. Am. A12(1), 137–150 (1995). [CrossRef]
S. V. Mantravadi, T. A. Rhoadarmer, and R. S. Glas, “Simple laboratory system for generating well-controlled atmospheric-like turbulence,” Proc. SPIE5553, 290–300 (2004). [CrossRef]
X. J. Gan, J. Guo, and Y. Y. Fu, “The simulating turbulence method of laser propagation in the inner field,” J. Phys. Conf. Ser.48, 907–910 (2006). [CrossRef]
B. D. Zhang, S. Qin, and X. S. Wang, “Accurate and fast simulation of Kolmogorov phase screen by combining spectral method with Zernike polynomials method,” Chin. Opt. Lett.8(10), 969–971 (2010).
M. X. Qian, W. Y. Zhu, and R. Rao, “Phase screen distribution for simulating laser propagation along an inhomogeneous atmospheric path,” Acta Phys. Sinica58(9), 6633–6639 (2009).
M. Gao and Z. Wu, “Experiments of effect of beam spreading of far-field on aiming deviation,” Opt. Precision Eng.18(3), 602–608 (2010).
Y.-h. Gao, Z.-y. An, N.-n. Li, W.-x Zhao, and J.-s. Wang, “Optical design of Gaussian beam shaping,” Opt. Precision Eng.19(7), 1464–1471 (2011). [CrossRef]
V. I. Tatarskii, Wave Propagation in a Turbulent Medium (New York: McGraw-Hill, 1961).
D. L. Fried and J. B. Seidman, “Laser-beam scintillation in the atmosphere,” J. Opt. Soc. Am.57(2), 181–185 (1967). [CrossRef]

An, Z.-y.
Andrews, L. C.
Booker, H. G.
Chao, C.
Dong, L.
Ferguson, J. A.
Fried, D. L.
Fu, Y. Y.
Gan, X. J.
Gao, M.
Gao, Y.-h.
Glas, R. S.
Guo, J.
Hu, L.
Li, N.-n.
Mantravadi, S. V.
Miller, W. B.
Mu, Q.
Phillips, R. L.
Qian, M. X.
Qin, S.
Rao, R.
Rhoadarmer, T. A.
Ricklin, J. C.
Seidman, J. B.
Vats, H. O.
Wang, B.
Wang, J.-l.
Wang, J.-s.
Wang, X. S.
Wang, Z.-y.
Weeks, A. R.
Wen,, M.
Wu, Y.-H.
Wu, Z.
Zhang, B. D.
Zhang, S.-X
Zhao, J.-Y.
Zhao, W.-x
Zhu, W. Y.

Acta Phys. Sinica

M. X. Qian, W. Y. Zhu, and R. Rao, “Phase screen distribution for simulating laser propagation along an inhomogeneous atmospheric path,” Acta Phys. Sinica58(9), 6633–6639 (2009).

Chin. Opt. Lett.

B. D. Zhang, S. Qin, and X. S. Wang, “Accurate and fast simulation of Kolmogorov phase screen by combining spectral method with Zernike polynomials method,” Chin. Opt. Lett.8(10), 969–971 (2010).

J. Atmos. Terr. Phys.

H. G. Booker, J. A. Ferguson, and H. O. Vats, “Comparison between the extended-medium and the phase-screen scintillation theories,” J. Atmos. Terr. Phys.47(38), 1–399 (1985). [CrossRef]

J. Opt. Soc. Am.

D. L. Fried and J. B. Seidman, “Laser-beam scintillation in the atmosphere,” J. Opt. Soc. Am.57(2), 181–185 (1967). [CrossRef]

J. Opt. Soc. Am. A

L. C. Andrews and W. B. Miller, “Single- and double-pass propagation through complex paraxial optical systems,” J. Opt. Soc. Am. A12(1), 137–150 (1995). [CrossRef]

J. Phys. Conf. Ser.

X. J. Gan, J. Guo, and Y. Y. Fu, “The simulating turbulence method of laser propagation in the inner field,” J. Phys. Conf. Ser.48, 907–910 (2006). [CrossRef]

Opt. Precision Eng.

M. Gao and Z. Wu, “Experiments of effect of beam spreading of far-field on aiming deviation,” Opt. Precision Eng.18(3), 602–608 (2010).
Y.-h. Gao, Z.-y. An, N.-n. Li, W.-x Zhao, and J.-s. Wang, “Optical design of Gaussian beam shaping,” Opt. Precision Eng.19(7), 1464–1471 (2011). [CrossRef]
C. Chao, L. Hu, and Q. Mu, “Bandwidth requires of adaptive optical system for horizontal turbulence correction,” Opt. Precision Eng.18(10), 2137–3142 (2010).
B. Wang, Z.-y. Wang, J.-l. Wang, J.-Y. Zhao, Y.-H. Wu, S.-X Zhang, L. Dong, and M. Wen, “Phase-diverse speckle imaging with two cameras,” Opt. Precision Eng.19(6), 1384–1390 (2011). [CrossRef]

Proc. SPIE

S. V. Mantravadi, T. A. Rhoadarmer, and R. S. Glas, “Simple laboratory system for generating well-controlled atmospheric-like turbulence,” Proc. SPIE5553, 290–300 (2004). [CrossRef]

SPIE

L. C. Andrews, W. B. Miller, and J. C. Ricklin, “Propagation through complex optical system: a phase screen analysis,” SPIE2312, 122–129 (1994). [CrossRef]

Waves Random Media

L. C. Andrews, R. L. Phillips, and A. R. Weeks, “Propagation of a Gaussian-beam wave through a random phase screen,” Waves Random Media7(2), 229–244 (1997). [CrossRef]

Other

L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE, 2005).
V. I. Tatarskii, Wave Propagation in a Turbulent Medium (New York: McGraw-Hill, 1961).

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