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  1. H. R. Gordon, O. B. Brown, M. M. Jacobs, Appl. Opt. 14, 417 (1975).
    [CrossRef] [PubMed]
  2. G. F. Beardsley, J. R. V. Zaneveld, J. Opt. Soc. Am. 59, 373 (1969).
    [CrossRef]
  3. T. J. Petzold, Volume Scattering Functions for Selected Waters (Scripps Institution of Oceanography, University of California at San Diego, 1972), S10, Ref. 72–78.
  4. L. Elterman, UV Visible and IR Attenuation for Altitudes to 50 km, 1968, Report AFCRL-68-0153, Air Force Cambridge Research Laboratories, Bedford, Mass. (1968).
  5. R. S. Fraser, Goddard Space Flight Center, Greenbelt, Md.; personal communication.
  6. D. Diermendjian, Appl. Opt. 3, 187 (1964).
    [CrossRef]
  7. K(τ,−) is related to the downwelling irradiance in Fig. 2 through K(τ,−)/c = −d[lnH(τ,−)/H(0,−)]/dτ.
  8. C. Cox, W. Munk, J. Opt. Soc. Am. 44, 838 (1954).
    [CrossRef]

1975 (1)

1969 (1)

1964 (1)

1954 (1)

Beardsley, G. F.

Brown, O. B.

Cox, C.

Diermendjian, D.

Elterman, L.

L. Elterman, UV Visible and IR Attenuation for Altitudes to 50 km, 1968, Report AFCRL-68-0153, Air Force Cambridge Research Laboratories, Bedford, Mass. (1968).

Fraser, R. S.

R. S. Fraser, Goddard Space Flight Center, Greenbelt, Md.; personal communication.

Gordon, H. R.

Jacobs, M. M.

Munk, W.

Petzold, T. J.

T. J. Petzold, Volume Scattering Functions for Selected Waters (Scripps Institution of Oceanography, University of California at San Diego, 1972), S10, Ref. 72–78.

Zaneveld, J. R. V.

Appl. Opt. (2)

J. Opt. Soc. Am. (2)

Other (4)

T. J. Petzold, Volume Scattering Functions for Selected Waters (Scripps Institution of Oceanography, University of California at San Diego, 1972), S10, Ref. 72–78.

L. Elterman, UV Visible and IR Attenuation for Altitudes to 50 km, 1968, Report AFCRL-68-0153, Air Force Cambridge Research Laboratories, Bedford, Mass. (1968).

R. S. Fraser, Goddard Space Flight Center, Greenbelt, Md.; personal communication.

K(τ,−) is related to the downwelling irradiance in Fig. 2 through K(τ,−)/c = −d[lnH(τ,−)/H(0,−)]/dτ.

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Figures (2)

Fig. 1
Fig. 1

Test of Eq. (6) for determination of Do(0,−).

Fig. 2
Fig. 2

Attenuation of irradiance in homogeneous and two-layer oceans.

Tables (2)

Tables Icon

Table I Comparison Between (bB)calc and (bB)true

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Table II Comparison Between Computed and True Values of ωo and B for Various Models

Equations (12)

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P ( θ ) β ( θ ) / b ,
B = 2 π π / 2 π P ( θ ) sin θ d θ .
ω o F = n k n ( τ ) [ K ( τ , - ) c D o ( τ ) ] n ,
ω o B 1 - ω o F = n r n ( τ ) [ R ( τ , - ) ] n ,
ω o = b / c , D o ( τ ) = h o ( τ , - ) / H o ( τ , - ) ,
β calc ( θ ) = e ( 1 - e f cos θ ) 4 ( 1 + e b cos θ ) 4 ,
( b B ) calc = 2 π π / 2 π β calc ( θ ) sin θ d θ .
ω o B = ( b B ) calc / c .
ω o F + ω o B = ω o ( F + B ) = ω o .
c ω o = c b c = b ,
D o ( θ ) = 0 2 π 0 π / 2 N inc ( θ , ϕ ) T ( θ , θ ) exp ( - τ / cos θ ) d ( cos θ ) d ϕ 0 2 π 0 π / 2 N inc ( θ , ω θ ) cos θ T ( θ , θ ) exp ( - τ / cos θ ) d ( cos θ ) d ϕ ,
N inc ( θ , ϕ ) = [ ( 1 - f ) cos θ δ ( cos θ - cos θ o ) δ ( θ - θ o ) + f / π ] H o .

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