Abstract

A tensor method is used to formulate the on-axis scintillation index for an elliptical Gaussian beam (EGB; astigmatic Gaussian beam) propagating in a weak turbulent atmosphere. Variations of the on-axis scintillation of an EGB are studied. It is interesting to find that the scintillation index of an EGB can be smaller than that of a circular Gaussian beam in a weakly turbulent atmosphere under certain conditions and is closely related to the ratio of the beam waist size along the long axis to that along the short axis of the EGB, the wavelength, and the structure constant of the turbulent atmosphere.

© 2007 Optical Society of America

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  2. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  16. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 2000).

2007 (1)

2006 (3)

2004 (3)

F. E. S. Vetelino and L. C. Andrews, Proc. SPIE 5160, 86 (2004).

Y. Cai and Q. Lin, J. Opt. A, Pure Appl. Opt. 6, 390 (2004).
[CrossRef]

Y. Baykal, J. Opt. Soc. Am. A 21, 1290 (2004).
[CrossRef]

2002 (1)

1997 (1)

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

1996 (1)

A. Steinbach, M. Rauner, E. C. Cruz, and J. C. Bergquist, Opt. Commun. 123, 207 (1996).
[CrossRef]

1990 (1)

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, Optik (Stuttgart) 85, 67 (1990).

1976 (1)

R. L. Fante, Radio Sci. 11, 215 (1976).

1969 (1)

Alda, J.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, Optik (Stuttgart) 85, 67 (1990).

Allen, L.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Andrews, L. C.

F. E. S. Vetelino and L. C. Andrews, Proc. SPIE 5160, 86 (2004).

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

Arnaud, J. A.

Baykal, Y.

Bergquist, J. C.

A. Steinbach, M. Rauner, E. C. Cruz, and J. C. Bergquist, Opt. Commun. 123, 207 (1996).
[CrossRef]

Bernabeu, E.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, Optik (Stuttgart) 85, 67 (1990).

Cai, Y.

Courtial, J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Cruz, E. C.

A. Steinbach, M. Rauner, E. C. Cruz, and J. C. Bergquist, Opt. Commun. 123, 207 (1996).
[CrossRef]

Dholakia, K.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Eyyuboglu, H. T.

Fante, R. L.

R. L. Fante, Radio Sci. 11, 215 (1976).

Gradshteyn, I. S.

I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 2000).

He, S.

Hopen, C. Y.

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

Ishimaru, A.

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.

Kogelink, H.

Lin, Q.

Y. Cai and Q. Lin, J. Opt. A, Pure Appl. Opt. 6, 390 (2004).
[CrossRef]

Q. Lin and Y. Cai, Opt. Lett. 27, 216 (2002).

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, Optik (Stuttgart) 85, 67 (1990).

Padgett, M. J.

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

Phillips, R. L.

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

Rauner, M.

A. Steinbach, M. Rauner, E. C. Cruz, and J. C. Bergquist, Opt. Commun. 123, 207 (1996).
[CrossRef]

Ryzhik, I. M.

I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 2000).

Steinbach, A.

A. Steinbach, M. Rauner, E. C. Cruz, and J. C. Bergquist, Opt. Commun. 123, 207 (1996).
[CrossRef]

Vetelino, F. E. S.

F. E. S. Vetelino and L. C. Andrews, Proc. SPIE 5160, 86 (2004).

Wang, S.

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, Optik (Stuttgart) 85, 67 (1990).

Appl. Opt. (2)

J. Opt. A, Pure Appl. Opt. (1)

Y. Cai and Q. Lin, J. Opt. A, Pure Appl. Opt. 6, 390 (2004).
[CrossRef]

J. Opt. Soc. Am. A (3)

Opt. Commun. (2)

J. Courtial, K. Dholakia, L. Allen, and M. J. Padgett, Opt. Commun. 144, 210 (1997).
[CrossRef]

A. Steinbach, M. Rauner, E. C. Cruz, and J. C. Bergquist, Opt. Commun. 123, 207 (1996).
[CrossRef]

Opt. Lett. (2)

Optik (Stuttgart) (1)

Q. Lin, S. Wang, J. Alda, and E. Bernabeu, Optik (Stuttgart) 85, 67 (1990).

Proc. SPIE (1)

F. E. S. Vetelino and L. C. Andrews, Proc. SPIE 5160, 86 (2004).

Radio Sci. (1)

R. L. Fante, Radio Sci. 11, 215 (1976).

Other (3)

A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, 1978), Vol. 2.

L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications (SPIE, 2001).

I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series and Products (Academic, 2000).

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