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  1. H. R. Gordon, W. R. McCluney, Appl. Opt. 14, 413 (1975).
    [CrossRef] [PubMed]
  2. H. R. Gordon, Appl. Opt. 17, 1893 (1978). In this paper the drawings were inadvertently placed in reverse order. The figure captions are in correct order, but drawing 4 should be Fig. 1, drawing 3 should be Fig. 2, drawing 2 should be Fig. 3, and drawing 1 should be Fig. 4.
    [CrossRef] [PubMed]
  3. Since B was held constant, the resulting computations are strictly applicable only in the limit that the particle backscattering is much larger than the backscattering due to the water itself; however, the basic results of this paper should still be valid for the oceans.
  4. The optical depth τ is related to the real depth z through τ=∫0z(a+b)dz=∫0zc(z)dz.
  5. H. R. Gordon, O. B. Brown, M. M. Jacobs, Appl. Opt. 14, 417 (1975).
    [CrossRef] [PubMed]
  6. H. R. Gordon, Appl. Opt. 16, 2627 (1977).
    [CrossRef] [PubMed]
  7. Actually the attenuation coefficient for upwelling irradiance is not identical to K; however, the error made by assuming this equality is not serious in the present application.
  8. From Ref. 3,Rh=0.0001+0.3244Xh+0.1425Xh2+0.1308Xh3,andXh=−0.0003+3.0770Rh+4.2158Rh2+3.5012Rh3.
  9. To simplify the measurement of C¯s, note that g(z) = [Ed(z)/Ed(0)]2, where Ed(z) is the downwelling irradiance at depth z for the wavelength at which the measurement of C¯s is desired.

1978

1977

1975

Appl. Opt.

Other

Since B was held constant, the resulting computations are strictly applicable only in the limit that the particle backscattering is much larger than the backscattering due to the water itself; however, the basic results of this paper should still be valid for the oceans.

The optical depth τ is related to the real depth z through τ=∫0z(a+b)dz=∫0zc(z)dz.

Actually the attenuation coefficient for upwelling irradiance is not identical to K; however, the error made by assuming this equality is not serious in the present application.

From Ref. 3,Rh=0.0001+0.3244Xh+0.1425Xh2+0.1308Xh3,andXh=−0.0003+3.0770Rh+4.2158Rh2+3.5012Rh3.

To simplify the measurement of C¯s, note that g(z) = [Ed(z)/Ed(0)]2, where Ed(z) is the downwelling irradiance at depth z for the wavelength at which the measurement of C¯s is desired.

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Figures (4)

Fig. 1
Fig. 1

Correlation between Rs and x ¯ s computed using Eq. (3) with g(τ) = 1 in the lower curve and g(τ) given by Eq. (4) in the upper curve (the values of x ¯ s for the upper curve have been multiplied by 10). The solid line corresponds to x ¯ s = x h.

Fig. 2
Fig. 2

Correlation between Rs and X ¯ s computed using Eq. (5) with g(τ) given by Eq. (4). The solid line corresponds to X ¯ s = X ¯ h.

Fig. 3
Fig. 3

Correlation between Ch and C ¯ s (for constant b) computed from Eq. (7) using g(z) given by Eq. (6). The solid line corresponds to C ¯ s = C ¯ h.

Fig. 4
Fig. 4

Correlation between Ch and C ¯ s (for constant a) computed from Eq. (7) using g(z) given by Eq. (6). The solid line corresponds to C ¯ s = C h.

Equations (13)

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ω 0 ( τ ) = ω [ 1 + ζ τ n exp ( τ ) ] ,
R h = f ( x ) ,
x h x ¯ s 1 τ 90 0 x s ( τ ) d τ ,
exp [ 2 0 z K d z ] = exp [ 2 0 τ K d τ / c ] .
x h x ¯ s 0 τ 90 g ( τ ) x s ( τ ) d τ 0 τ 90 g ( τ ) d τ ,
g ( τ ) = exp [ 2 0 τ K ( τ ) d τ / c ( τ ) ] .
X h X ¯ s 0 τ 90 X ( τ ) g ( τ ) d τ 0 τ 90 g ( τ ) d τ .
C h = b a * [ ( 1 X h X h ) B a w b ] .
g ( z ) exp [ 2 0 z K ( z ) d z ] ,
C ¯ s 0 z 90 C ( z ) g ( z ) d z 0 z 90 g ( z ) d z
C h = a b * B ( X h 1 X h ) ,
Rh=0.0001+0.3244Xh+0.1425Xh2+0.1308Xh3,
Xh=0.0003+3.0770Rh+4.2158Rh2+3.5012Rh3.

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