Abstract

The asymptotic theory of displacements of spatially limited light beams propagating through the turbulent atmosphere is developed as a Markovian process approximation. The asymptotic representations for variance of beam displacements corresponding to small and large values of the structure function of phase fluctuations of a spherical wave calculated for the transmitter diameter are obtained. (Phase structure function characterizes the intensity of turbulent pulsations of a medium dielectric constant along the path.) The dependence of the displacement variance on the path length is investigated. The final dimensions of the outer scale of atmospheric turbulence are taken into account. In contrast to previous papers, for the second moment of intensity the expression is used which is obtained using the Huygens-Fresnel principle for smooth inhomogeneous media. This procedure enables one to determine more accurately the field of applicability of the results previously obtained and to explain the observed disagreement of experimental data with that obtained theoretically. The saturation effect of variance of angular displacements with the path length increase was observed.

© 1977 Optical Society of America

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  1. V. I. Klyatskin and V. I. Tatarski, Izv. Vuz. SSSR, ser. Radiofizika 13, 1061 (1970).
  2. A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 13, 61 (1970).
  3. V. I. Klyatskin and A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 15, 1381 (1972).
  4. A. I. Kon, V. L. Mironov, and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 1501 (1974).
  5. A. M. Prokhorov, F. B. Bunkin, K. S. Gochelashvili, and V. I. Shishov, Usp. Fiz. Nauk 114, 415 (1974).
  6. R. J. Cook, J. Opt. Soc. Am. 65, 942 (1975).
  7. E. I. Gelfer, A. I. Kon, and A. M. Cheremukhin, Izv. Vuz. SSSR, ser. Radiofizika 16, 245 (1973).
  8. V. L. Mironov and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 247 (1974).
  9. M. A. Kallistratova and V. V. Pokasov, Izv. Vuz. SSSR, ser. Radiofizika 14, 1200 (1971).
  10. E. I. Gelfer, N. I. Murav'ev, S. E. Finkelshtein, and A. M. Cheremulkhin, Izv. Vuz. SSSR, ser. Radiofizika 14, 1838 (1971).
  11. V. Ya. S'edin, Candidate's Dissertation (Tomsk, Tomsk State University, 1973).
  12. Yu. A. Kravtsov and Z. I. Feizulin, Izv. Vuz. SSSR, ser. Radiofizika 12, 886 (1969).
  13. V. A. Banakh, G. M. Krekov, and V. L. Mironov, Izv. Vuz. SSSR, ser. Radiofizika 17, 252 (1974).
  14. V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).
  15. V. A. Banakh and V. L. Mironov, Quant. Electron. 2, 2163 (1975).
  16. V. I. Tatarski, Rasprostranenie voln v turbulentnoi atmosfere (English transl., Wave Propagation in the Turbulent Atmosphere) (Nauka, Moscow, 1967).
  17. W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).

Banakh, V. A.

V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).

V. A. Banakh, G. M. Krekov, and V. L. Mironov, Izv. Vuz. SSSR, ser. Radiofizika 17, 252 (1974).

V. A. Banakh and V. L. Mironov, Quant. Electron. 2, 2163 (1975).

Brown, W. P.

W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).

Bunkin, F. B.

A. M. Prokhorov, F. B. Bunkin, K. S. Gochelashvili, and V. I. Shishov, Usp. Fiz. Nauk 114, 415 (1974).

Cheremukhin, A. M.

E. I. Gelfer, A. I. Kon, and A. M. Cheremukhin, Izv. Vuz. SSSR, ser. Radiofizika 16, 245 (1973).

Cheremulkhin, A. M.

E. I. Gelfer, N. I. Murav'ev, S. E. Finkelshtein, and A. M. Cheremulkhin, Izv. Vuz. SSSR, ser. Radiofizika 14, 1838 (1971).

Cook, R. J.

R. J. Cook, J. Opt. Soc. Am. 65, 942 (1975).

Feizulin, Z. I.

Yu. A. Kravtsov and Z. I. Feizulin, Izv. Vuz. SSSR, ser. Radiofizika 12, 886 (1969).

Finkelshtein, S. E.

E. I. Gelfer, N. I. Murav'ev, S. E. Finkelshtein, and A. M. Cheremulkhin, Izv. Vuz. SSSR, ser. Radiofizika 14, 1838 (1971).

Gelfer, E. I.

E. I. Gelfer, N. I. Murav'ev, S. E. Finkelshtein, and A. M. Cheremulkhin, Izv. Vuz. SSSR, ser. Radiofizika 14, 1838 (1971).

E. I. Gelfer, A. I. Kon, and A. M. Cheremukhin, Izv. Vuz. SSSR, ser. Radiofizika 16, 245 (1973).

Gochelashvili, K. S.

A. M. Prokhorov, F. B. Bunkin, K. S. Gochelashvili, and V. I. Shishov, Usp. Fiz. Nauk 114, 415 (1974).

Kallistratova, M. A.

M. A. Kallistratova and V. V. Pokasov, Izv. Vuz. SSSR, ser. Radiofizika 14, 1200 (1971).

Khmelevtsov, S. S.

V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).

Klyatskin, V. I.

V. I. Klyatskin and V. I. Tatarski, Izv. Vuz. SSSR, ser. Radiofizika 13, 1061 (1970).

V. I. Klyatskin and A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 15, 1381 (1972).

Kon, A. I.

V. I. Klyatskin and A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 15, 1381 (1972).

E. I. Gelfer, A. I. Kon, and A. M. Cheremukhin, Izv. Vuz. SSSR, ser. Radiofizika 16, 245 (1973).

A. I. Kon, V. L. Mironov, and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 1501 (1974).

A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 13, 61 (1970).

Kravtsov, Yu. A.

Yu. A. Kravtsov and Z. I. Feizulin, Izv. Vuz. SSSR, ser. Radiofizika 12, 886 (1969).

Krekov, G. M.

V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).

V. A. Banakh, G. M. Krekov, and V. L. Mironov, Izv. Vuz. SSSR, ser. Radiofizika 17, 252 (1974).

Mironov, V. L.

V. A. Banakh, G. M. Krekov, and V. L. Mironov, Izv. Vuz. SSSR, ser. Radiofizika 17, 252 (1974).

V. A. Banakh and V. L. Mironov, Quant. Electron. 2, 2163 (1975).

V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).

A. I. Kon, V. L. Mironov, and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 1501 (1974).

V. L. Mironov and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 247 (1974).

Murav'ev, N. I.

E. I. Gelfer, N. I. Murav'ev, S. E. Finkelshtein, and A. M. Cheremulkhin, Izv. Vuz. SSSR, ser. Radiofizika 14, 1838 (1971).

Nosov, V. V.

V. L. Mironov and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 247 (1974).

A. I. Kon, V. L. Mironov, and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 1501 (1974).

Pokasov, V. V.

M. A. Kallistratova and V. V. Pokasov, Izv. Vuz. SSSR, ser. Radiofizika 14, 1200 (1971).

Prokhorov, A. M.

A. M. Prokhorov, F. B. Bunkin, K. S. Gochelashvili, and V. I. Shishov, Usp. Fiz. Nauk 114, 415 (1974).

S'edin, V. Ya.

V. Ya. S'edin, Candidate's Dissertation (Tomsk, Tomsk State University, 1973).

Shishov, V. I.

A. M. Prokhorov, F. B. Bunkin, K. S. Gochelashvili, and V. I. Shishov, Usp. Fiz. Nauk 114, 415 (1974).

Tatarski, V. I.

V. I. Klyatskin and V. I. Tatarski, Izv. Vuz. SSSR, ser. Radiofizika 13, 1061 (1970).

V. I. Tatarski, Rasprostranenie voln v turbulentnoi atmosfere (English transl., Wave Propagation in the Turbulent Atmosphere) (Nauka, Moscow, 1967).

Tsvik, R. Sh.

V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).

Other (17)

V. I. Klyatskin and V. I. Tatarski, Izv. Vuz. SSSR, ser. Radiofizika 13, 1061 (1970).

A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 13, 61 (1970).

V. I. Klyatskin and A. I. Kon, Izv. Vuz. SSSR, ser. Radiofizika 15, 1381 (1972).

A. I. Kon, V. L. Mironov, and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 1501 (1974).

A. M. Prokhorov, F. B. Bunkin, K. S. Gochelashvili, and V. I. Shishov, Usp. Fiz. Nauk 114, 415 (1974).

R. J. Cook, J. Opt. Soc. Am. 65, 942 (1975).

E. I. Gelfer, A. I. Kon, and A. M. Cheremukhin, Izv. Vuz. SSSR, ser. Radiofizika 16, 245 (1973).

V. L. Mironov and V. V. Nosov, Izv. Vuz. SSSR, ser. Radiofizika 17, 247 (1974).

M. A. Kallistratova and V. V. Pokasov, Izv. Vuz. SSSR, ser. Radiofizika 14, 1200 (1971).

E. I. Gelfer, N. I. Murav'ev, S. E. Finkelshtein, and A. M. Cheremulkhin, Izv. Vuz. SSSR, ser. Radiofizika 14, 1838 (1971).

V. Ya. S'edin, Candidate's Dissertation (Tomsk, Tomsk State University, 1973).

Yu. A. Kravtsov and Z. I. Feizulin, Izv. Vuz. SSSR, ser. Radiofizika 12, 886 (1969).

V. A. Banakh, G. M. Krekov, and V. L. Mironov, Izv. Vuz. SSSR, ser. Radiofizika 17, 252 (1974).

V. A. Banakh, G. M. Krekov, V. L. Mironov, S. S. Khmelevtsov, and R. Sh. Tsvik, J. Opt. Soc. Am. 64, 516 (1974).

V. A. Banakh and V. L. Mironov, Quant. Electron. 2, 2163 (1975).

V. I. Tatarski, Rasprostranenie voln v turbulentnoi atmosfere (English transl., Wave Propagation in the Turbulent Atmosphere) (Nauka, Moscow, 1967).

W. P. Brown, J. Opt. Soc. Am. 61, 1051 (1971).

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