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References

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  1. F. G. Fernald, B. M. Herman, J. A. Reagan, J. Appl. Meteorol. 11, 482 (1972).
    [Crossref]
  2. J. D. Klett, Appl. Opt. 20, 211 (1981).
    [Crossref] [PubMed]
  3. P. A. Davis, Appl. Opt. 8, 2099 (1969).
    [Crossref] [PubMed]
  4. R. T. H. Collis, P. B. Russell, in Laser Monitoring of the Atmosphere, E.D. Hinkley, Ed. (Springer, New York, 1976), p. 117.
  5. W. Hitschfeld, J. Bordan, J. Meteorol. 11, 58 (1954).
    [Crossref]
  6. R. G. Pinnick, J. M. Rosen, D. J. Hofman, J. Atmos. Sci. 33, 304 (1976).
    [Crossref]
  7. P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
    [Crossref]

1981 (2)

J. D. Klett, Appl. Opt. 20, 211 (1981).
[Crossref] [PubMed]

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

1976 (1)

R. G. Pinnick, J. M. Rosen, D. J. Hofman, J. Atmos. Sci. 33, 304 (1976).
[Crossref]

1972 (1)

F. G. Fernald, B. M. Herman, J. A. Reagan, J. Appl. Meteorol. 11, 482 (1972).
[Crossref]

1969 (1)

1954 (1)

W. Hitschfeld, J. Bordan, J. Meteorol. 11, 58 (1954).
[Crossref]

Bordan, J.

W. Hitschfeld, J. Bordan, J. Meteorol. 11, 58 (1954).
[Crossref]

Chu, W. P.

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

Collis, R. T. H.

R. T. H. Collis, P. B. Russell, in Laser Monitoring of the Atmosphere, E.D. Hinkley, Ed. (Springer, New York, 1976), p. 117.

Davis, P. A.

Fernald, F. G.

F. G. Fernald, B. M. Herman, J. A. Reagan, J. Appl. Meteorol. 11, 482 (1972).
[Crossref]

Herman, B. M.

F. G. Fernald, B. M. Herman, J. A. Reagan, J. Appl. Meteorol. 11, 482 (1972).
[Crossref]

Hitschfeld, W.

W. Hitschfeld, J. Bordan, J. Meteorol. 11, 58 (1954).
[Crossref]

Hofman, D. J.

R. G. Pinnick, J. M. Rosen, D. J. Hofman, J. Atmos. Sci. 33, 304 (1976).
[Crossref]

Klett, J. D.

Livingston, J. M.

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

McCormick, M. P.

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

Pepin, T. J.

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

Pinnick, R. G.

R. G. Pinnick, J. M. Rosen, D. J. Hofman, J. Atmos. Sci. 33, 304 (1976).
[Crossref]

Reagan, J. A.

F. G. Fernald, B. M. Herman, J. A. Reagan, J. Appl. Meteorol. 11, 482 (1972).
[Crossref]

Rosen, J. M.

R. G. Pinnick, J. M. Rosen, D. J. Hofman, J. Atmos. Sci. 33, 304 (1976).
[Crossref]

Russell, P. B.

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

R. T. H. Collis, P. B. Russell, in Laser Monitoring of the Atmosphere, E.D. Hinkley, Ed. (Springer, New York, 1976), p. 117.

Swissler, T. J.

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

Appl. Opt. (2)

J. Appl. Meteorol. (1)

F. G. Fernald, B. M. Herman, J. A. Reagan, J. Appl. Meteorol. 11, 482 (1972).
[Crossref]

J. Atmos. Sci. (2)

R. G. Pinnick, J. M. Rosen, D. J. Hofman, J. Atmos. Sci. 33, 304 (1976).
[Crossref]

P. B. Russell, T. J. Swissler, M. P. McCormick, W. P. Chu, J. M. Livingston, T. J. Pepin, J. Atmos. Sci. 38, 1279 (1981).
[Crossref]

J. Meteorol. (1)

W. Hitschfeld, J. Bordan, J. Meteorol. 11, 58 (1954).
[Crossref]

Other (1)

R. T. H. Collis, P. B. Russell, in Laser Monitoring of the Atmosphere, E.D. Hinkley, Ed. (Springer, New York, 1976), p. 117.

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Equations (10)

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P ( Z ) = E C Z - 2 [ β 1 ( Z ) + β 2 ( Z ) ] T 1 2 ( Z ) T 2 2 ( Z ) ,
β 1 ( Z ) = P ( Z ) Z 2 exp [ - 2 ( S 1 - S 2 ) 0 Z β 2 ( z ) d z ] C E - 2 S 1 0 Z P ( z ) z 2 exp [ - 2 ( S 1 - S 2 ) 0 z β 2 ( z ) d z ] d z - β 2 ( Z ) .
β 1 ( Z ) + β 2 ( Z ) = X ( Z ) exp [ - 2 ( S 1 - S 2 ) Z c Z β 2 ( z ) d z ] X ( Z c ) β 1 ( Z c ) + β 2 ( Z c ) - 2 S 1 Z c Z X ( z ) exp [ - 2 ( S 1 - S 2 ) Z c z β 2 ( z ) d ] d z ,
A ( I , I + 1 ) = ( S 1 - S 2 ) [ β 2 ( I ) + β 2 ( I + 1 ) ] Δ Z
β 1 ( I + 1 ) + β 2 ( I + 1 ) = X ( I + 1 ) exp [ - A ( I , I + 1 ) ] X ( I ) β 1 ( I ) + β 2 ( I ) - S 1 { X ( I ) + X ( I + 1 ) exp [ - A ( I , I + 1 ) ] } Δ Z .
β 1 ( I - 1 ) + β 2 ( I - 1 ) = X ( I - 1 ) exp [ + A ( I - 1 , I ) ] X ( I ) β 1 ( I ) + β 2 ( I ) + S 1 { X ( I ) + X ( I - 1 ) exp [ + A ( I - 1 , I ) ] } Δ Z .
σ 1 ( I + 1 ) + S 1 S 2 σ 2 ( I + 1 ) = X ( I + 1 ) exp [ - A ( I , I + 1 ) ] X ( I ) σ 1 ( I ) + S 1 / S 2 σ 2 ( I ) - { X ( I ) + X ( I + 1 ) exp [ - A ( I , I + 1 ) ] } Δ Z ,
σ 1 ( I - 1 ) + S 1 S 2 σ 2 ( I - 1 ) = X ( I - 1 ) exp [ + A ( I - 1 , I ) ] X ( I ) σ 1 ( I ) + S 1 / S 2 σ 2 ( I ) + { X ( I ) + X ( I - 1 ) exp [ + A ( I - 1 , I ) ] } Δ Z .
β 1 ( I - 1 ) = X ( I - 1 ) X ( I ) β 1 ( I ) + S 1 [ X ( I ) + X ( I - 1 ) ] Δ Z ,
σ 1 ( I - 1 ) = X ( I - 1 ) X ( I ) σ 1 ( I ) + [ X ( I ) + X ( I - 1 ) ] Δ Z .

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