## Isotropic spherical source analysis for ocean optics

Applied Optics, Vol. 39, Issue 27, pp. 4902-4910 (2000)

http://dx.doi.org/10.1364/AO.39.004902

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### Abstract

Plane-to-point transformations are used to develop a version of the Hydrolight computer program with which to compute the spatial dependence of the irradiance and the scalar irradiance of the light field away from an isotropic point source deep within a spatially uniform ocean. The transformations are also used to derive analytic approximations for determining the diffuse attenuation coefficient and the mean cosine of the radiance far from an isotropic point source. Approximations for determining the asymptotic diffuse attenuation coefficient from measurements at only two distances far from the source are derived and numerically tested with the modified version of the Hydrolight computer program. New spatial integrals of the outward irradiance are also derived that provide a different way for correlating the inherent optical properties of seawater.

© 2000 Optical Society of America

**OCIS Codes**

(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics

(010.4450) Atmospheric and oceanic optics : Oceanic optics

(030.5620) Coherence and statistical optics : Radiative transfer

(290.7050) Scattering : Turbid media

**History**

Original Manuscript: March 14, 2000

Revised Manuscript: June 12, 2000

Published: September 20, 2000

**Citation**

Norman J. McCormick and Ayşe Kaşkaş, "Isotropic spherical source analysis for ocean optics," Appl. Opt. **39**, 4902-4910 (2000)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-27-4902

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### References

- L. E. Mertens, F. S. Replogle, “Use of the point spread function for analysis of imaging systems in water,” J. Opt. Soc. Am. 67, 1105–1117 (1977). [CrossRef]
- H. R. Gordon, “Equivalence of the point and beam spread functions of scattering media: a formal demonstration,” Appl. Opt. 33, 1120–1122 (1994). [CrossRef] [PubMed]
- R. A. Maffione, J. S. Jaffe, “The average cosine due to an isotropic light source in the ocean,” J. Geophys. Res. 100, 13179–13192 (1995). [CrossRef]
- R. A. Maffione, K. J. Voss, R. C. Honey, “Measurement of the spectral absorption coefficient in the ocean with an isotropic source,” Appl. Opt. 32, 3273–3279 (1993). [CrossRef] [PubMed]
- K. J. Voss, A. L. Chapin, “Measurement of the point spread function in the ocean,” Appl. Opt. 29, 3638–3642 (1990). [CrossRef] [PubMed]
- C. D. Mobley, Hydrolight, available from Sequoia Scientific, Inc., Sequoia Scientific, Inc., Westpark Technical Center, 15317 NE 90th St., Redmond, Wash. 98052.
- R. A. Leathers, C. S. Roesler, N. J. McCormick, “Ocean inherent optical property determination from in-water light field measurements,” Appl. Opt. 38, 5096–5103 (1999). [CrossRef]
- E. E. Lewis, W. F. Miller, Computational Methods of Neutron Transport (Wiley, New York, 1984), p. 31.
- W. S. Pegau, J. S. Cleveland, W. Doss, C. D. Kennedy, R. A. Maffione, J. L. Mueller, R. Stone, C. C. Trees, A. D. Weidemann, W. H. Wells, J. R. V. Zaneveld, “A comparison of methods for the measurement of the absorption coefficient in natural waters,” J. Geophys. Res. 100, 13201–13220 (1995). [CrossRef]
- K. M. Case, P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass., 1967), pp. 87–91 and Appendices C and H.
- R. C. Erdmann, C. E. Siewert, “Green’s functions for the one-speed transport equation in spherical geometry,” J. Math. Phys. (N.Y.) 9, 81–89 (1968). [CrossRef]
- N. J. McCormick, “Mathematical models for the mean cosine of irradiance and the diffuse attenuation coefficient,” Limnol. Oceanogr. 40, 1013–1018 (1995). [CrossRef]
- C. C. Grosjean, “On a new approximate one-velocity theory of multiple scattering in infinite homogeneous media,” Nuovo Cimento X 4, 582–594 (1956). [CrossRef]
- T. J. Petzold, “Volume scattering functions for selected ocean waters,” (Scripps Institution of Oceanography, San Diego, Calif., 1972).
- M. Abramowitz, I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1970), p. 923.
- N. J. McCormick, I. Kuščer, “Singular eigenfunction expansions in neutron transport theory,” in Advances in Nuclear Science and Technology, E. J. Henley, J. Lewins, eds. (Academic, New York, 1973), Vol. 7, pp. 181–282.
- I. Kuščer, N. J. McCormick, “Some analytical results for radiative transfer in thick atmospheres,” Transp. Theory Stat. Phys. 20, 351–381 (1991). [CrossRef]
- N. J. McCormick, “Asymptotic optical attenuation,” Limnol. Oceanogr. 37, 1570–1578 (1992). [CrossRef]
- P. W. Francisco, N. J. McCormick, “Chlorophyll concentration effects on asymptotic optical attenuation,” Limnol. Oceanogr. 39, 1195–1205 (1994). [CrossRef]

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