Abstract

Study of autocorrelations of the fluctuations in a gaussian beam propagating through a random medium of gaussian inhomogeneity is extended in this paper to considerations of the spatially transverse autocorrelations of the log-amplitude or phase fluctuations at two off-axis positions over the cross section of the collimated and focused beams. Two-dimensional autocorrelation distributions with respect to one fixed off-axis point are obtained over the beam cross section at and near the focal position of a focused beam. The cross correlations of log-amplitude and phase fluctuations for the collimated and focused gaussian beams propagating through a random medium have also been evaluated as functions of the wave parameter, the normalized focal length, and the source-aperture size. A comparison is made among the cross-correlation coefficients for plane, spherical, and gaussian beams.

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  1. L. A. Chernov, Wave Propagation in a Random Medium, transl. by R. A. Silverman (McGraw-Hill Book Co., New York, 1960).
  2. V. I. Tatarski, Wave Propagation in a Turbulent Medium, transl. bv R. A. Silverman (McGraw-Hill Book Co., New York, 1961).
  3. R. A. Schmeltzer, Quart. Appl. Math. 46, 339 (1966).
  4. D. L. Fried and J. B. Seidman, J. Opt. Soc. Am. 57, 181 (1967).
  5. D. L. Fried, J. Opt. Soc. Am. 57, 980 (1967).
  6. Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).
  7. Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).
  8. T. Asakura and Y. Kinoshita, Japan. J. Appl. Phys. 8, 260 (1969).
  9. Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 1040 (1968).
  10. G. C. Knollman, J. Acoust. Soc. Am. 36, 2306 (1964).
  11. I. Goldstein, P. A. Miles, and A. Chabot, Proc. IEEE 53, 1172 (1965).
  12. D. M. Chase, J. Opt. Soc. Am. 56, 33 (1966).
  13. D. L. Fried, Proc. IEEE 55, 57 (1967).
  14. W. P. Brown, J. Opt. Soc. Am. 56, 1045 (1966); 57, 1539 (1967).
  15. L. S. Taylor, Radio Science 2, 437 (1967).
  16. D. L. Fried, J. Opt. Soc. Am. 57, 268 (1967).
  17. D. A. deWolf, J. Opt. Soc. Am. 55, 812 (1965); 57, 1057 (1967); Radio Science 2, 1379 (1967).
  18. V. I. Tatarski, Soviet Phys.—JETP 22, 1083 (1967).

1969 (1)

T. Asakura and Y. Kinoshita, Japan. J. Appl. Phys. 8, 260 (1969).

1968 (3)

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 1040 (1968).

Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

1967 (6)

D. L. Fried and J. B. Seidman, J. Opt. Soc. Am. 57, 181 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 980 (1967).

D. L. Fried, Proc. IEEE 55, 57 (1967).

L. S. Taylor, Radio Science 2, 437 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 268 (1967).

V. I. Tatarski, Soviet Phys.—JETP 22, 1083 (1967).

1966 (3)

D. M. Chase, J. Opt. Soc. Am. 56, 33 (1966).

W. P. Brown, J. Opt. Soc. Am. 56, 1045 (1966); 57, 1539 (1967).

R. A. Schmeltzer, Quart. Appl. Math. 46, 339 (1966).

1965 (2)

I. Goldstein, P. A. Miles, and A. Chabot, Proc. IEEE 53, 1172 (1965).

D. A. deWolf, J. Opt. Soc. Am. 55, 812 (1965); 57, 1057 (1967); Radio Science 2, 1379 (1967).

1964 (1)

G. C. Knollman, J. Acoust. Soc. Am. 36, 2306 (1964).

Asakura, T.

T. Asakura and Y. Kinoshita, Japan. J. Appl. Phys. 8, 260 (1969).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 1040 (1968).

Brown, W. P.

W. P. Brown, J. Opt. Soc. Am. 56, 1045 (1966); 57, 1539 (1967).

Chabot, A.

I. Goldstein, P. A. Miles, and A. Chabot, Proc. IEEE 53, 1172 (1965).

Chase, D. M.

D. M. Chase, J. Opt. Soc. Am. 56, 33 (1966).

Chernov, L. A.

L. A. Chernov, Wave Propagation in a Random Medium, transl. by R. A. Silverman (McGraw-Hill Book Co., New York, 1960).

deWolf, D. A.

D. A. deWolf, J. Opt. Soc. Am. 55, 812 (1965); 57, 1057 (1967); Radio Science 2, 1379 (1967).

Fried, D. L.

D. L. Fried, Proc. IEEE 55, 57 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 268 (1967).

D. L. Fried and J. B. Seidman, J. Opt. Soc. Am. 57, 181 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 980 (1967).

Goldstein, I.

I. Goldstein, P. A. Miles, and A. Chabot, Proc. IEEE 53, 1172 (1965).

Kinoshita, Y.

T. Asakura and Y. Kinoshita, Japan. J. Appl. Phys. 8, 260 (1969).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 1040 (1968).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).

Knollman, G. C.

G. C. Knollman, J. Acoust. Soc. Am. 36, 2306 (1964).

Matsumoto, T.

Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).

Miles, P. A.

I. Goldstein, P. A. Miles, and A. Chabot, Proc. IEEE 53, 1172 (1965).

Schmeltzer, R. A.

R. A. Schmeltzer, Quart. Appl. Math. 46, 339 (1966).

Seidman, J. B.

D. L. Fried and J. B. Seidman, J. Opt. Soc. Am. 57, 181 (1967).

Suzuki, M.

Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 1040 (1968).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

Tatarski, V. I.

V. I. Tatarski, Soviet Phys.—JETP 22, 1083 (1967).

V. I. Tatarski, Wave Propagation in a Turbulent Medium, transl. bv R. A. Silverman (McGraw-Hill Book Co., New York, 1961).

Taylor, L. S.

L. S. Taylor, Radio Science 2, 437 (1967).

Other (18)

L. A. Chernov, Wave Propagation in a Random Medium, transl. by R. A. Silverman (McGraw-Hill Book Co., New York, 1960).

V. I. Tatarski, Wave Propagation in a Turbulent Medium, transl. bv R. A. Silverman (McGraw-Hill Book Co., New York, 1961).

R. A. Schmeltzer, Quart. Appl. Math. 46, 339 (1966).

D. L. Fried and J. B. Seidman, J. Opt. Soc. Am. 57, 181 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 980 (1967).

Y. Kinoshita, M. Suzuki, and T. Matsumoto, Radio Science 3, 287 (1968).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 798 (1968).

T. Asakura and Y. Kinoshita, Japan. J. Appl. Phys. 8, 260 (1969).

Y. Kinoshita, T. Asakura, and M. Suzuki, J. Opt. Soc. Am. 58, 1040 (1968).

G. C. Knollman, J. Acoust. Soc. Am. 36, 2306 (1964).

I. Goldstein, P. A. Miles, and A. Chabot, Proc. IEEE 53, 1172 (1965).

D. M. Chase, J. Opt. Soc. Am. 56, 33 (1966).

D. L. Fried, Proc. IEEE 55, 57 (1967).

W. P. Brown, J. Opt. Soc. Am. 56, 1045 (1966); 57, 1539 (1967).

L. S. Taylor, Radio Science 2, 437 (1967).

D. L. Fried, J. Opt. Soc. Am. 57, 268 (1967).

D. A. deWolf, J. Opt. Soc. Am. 55, 812 (1965); 57, 1057 (1967); Radio Science 2, 1379 (1967).

V. I. Tatarski, Soviet Phys.—JETP 22, 1083 (1967).

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