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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 27, Iss. 19 — Oct. 1, 1988
  • pp: 4012–4018

Utilizing the components of vector irradiance to estimate the scalar irradiance in natural waters

J. H. Jerome, R. P. Bukata, and J. E. Bruton  »View Author Affiliations


Applied Optics, Vol. 27, Issue 19, pp. 4012-4018 (1988)
http://dx.doi.org/10.1364/AO.27.004012


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Abstract

A Monte Carlo computer simulation has been used to determine the ratio of the scalar irradiance E0 to the downwelling irradiance Ed. These E0/Ed ratios were calculated at depths corresponding to the 100, 10, and 1% downwelling irradiance levels. A range of volume reflectance 0 ≤ R ≤ 0.14 was considered, as were six conditions of incident radiation (collimated beams with incident angles 0 ≤ θ′ ≤ 89° plus a diffuse cardioidal distribution). Mathematical expressions were curve fitted to the Monte Carlo outputs to yield relationships between E0/Ed and R for the depths and incident conditions considered. It was found that in many cases a single relationship would not accommodate the entire range of volume reflectances and that R = 0.055 provided an appropriate demarcation for mathematical curve fitting. Curves, tables, and equations are presented which indicate (a) for all R > ~0.02, the E0/Ed ratio at the 1% downwelling irradiance depth is the same for θ′ = 0° as for diffuse cardioidal incidence, and (b) for R > ~0.08, the E0/Ed ratio at the 10% downwelling irradiance depth for θ′ = 0° is nearly the same as the E0/Ed ratio at the 1% downwelling irradiance depth for diffuse cardioidal incidence.

© 1988 Optical Society of America

History
Original Manuscript: January 11, 1988
Published: October 1, 1988

Citation
J. H. Jerome, R. P. Bukata, and J. E. Bruton, "Utilizing the components of vector irradiance to estimate the scalar irradiance in natural waters," Appl. Opt. 27, 4012-4018 (1988)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-27-19-4012


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References

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