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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 30 — Oct. 20, 2002
  • pp: 6276–6288

Analytic Beam Spread Function for Ocean Optics Applications

Richard Sanchez and Norman J. McCormick  »View Author Affiliations


Applied Optics, Vol. 41, Issue 30, pp. 6276-6288 (2002)
http://dx.doi.org/10.1364/AO.41.006276


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Abstract

A discrete ordinates code is developed with which to compute the beam spread function (BSF) without invoking the small-angle scattering approximation or performing Monte Carlo calculations. The computed BSF is used to predict the response of a detector versus its distance to the origin of a highly collimated beam, its angle with respect to the beam, and the two local angles that specify the detector orientation. Numerical results have been obtained for water models that simulate a clear ocean, a coastal ocean, and a turbid harbor. Six orders of magnitude or more change in the detector response caused by scattered photons can be predicted for different detector locations while simultaneously obtaining small changes for different detector orientations. This capability is useful for assessment of the sensitivity of the detector response to the interpretation of time-independent underwater imaging systems or visibility models.

© 2002 Optical Society of America

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(010.7340) Atmospheric and oceanic optics : Water
(030.5620) Coherence and statistical optics : Radiative transfer

Citation
Richard Sanchez and Norman J. McCormick, "Analytic Beam Spread Function for Ocean Optics Applications," Appl. Opt. 41, 6276-6288 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-30-6276


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References

  1. K. M. Case, F. de Hoffmann, and G. Placzek, Introduction to the Theory of Neutron Diffusion (U.S. GPO, Washington, D.C., 1953).
  2. D. E. Kornreich and B. D. Ganapol, “The suite of analytical benchmarks for neutral particle transport in infinite isotropically scattering media,” Nucl. Sci. Eng. 125, 24–50 (1997).
  3. H. R. Gordon, “Equivalence of the point and beam spread functions of scattering media: a formal demonstration,” Appl. Opt. 33, 1120–1122 (1994).
  4. K. M. Case and P. F. Zweifel, Linear Transport Theory (Addison-Wesley, Reading, Mass., 1967).
  5. W. H. Wells, “Theory of small angle scattering,” in Optics of the Sea (Interface and In-Water Transmission and Imaging), P. Halley, ed., Lecture Series no. 61 (North Atlantic Treaty Organization, Advisory Group for Aerospace Research and Development, Neuilly-sur-Seine, France, 1973).
  6. K. J. Voss and A. L. Chapin, “Measurement of the point spread function in the ocean,” Appl. Opt. 29, 3638–3642 (1990).
  7. K. J. Voss, “Simple empirical model of the oceanic point spread function,” Appl. Opt. 30, 2647–2651 (1991).
  8. R. E. Walker, Marine Light Field Statistics (Wiley, New York, 1994).
  9. N. L. Swanson, V. M. Gehman, B. D. Billard, and T. L. Gennaro, “Limits of the small-angle approximation to the radiative transport equation,” J. Opt. Soc. Am. A 18, 385–391 (2001).
  10. N. L. Swanson, B. D. Billard, V. M. Gehman, and T. L. Gennaro, “Application of the small-angle approximation to ocean water types,” Appl. Opt. 40, 3608–3613 (2001).
  11. C. D. Mobley, G. F. Cota, T. C. Grenfell, R. A. Maffione, W. S. Pegau, and D. K. Perovich, “Modeling light propagation in sea ice,” IEEE Trans. Geosci. Remote Sens. 36, 1743–1749 (1998).
  12. A. Laux, R. Billmers, L. Mullen, B. Concannon, J. Davis, J. Prentice, and V. Contarino, “The a, b, cs of oceanographic lidar predictions: a significant step toward closing the loop between theory and experiment,” J. Mod. Opt. 49, 439–451 (2002).
  13. J. J. Duderstadt and W. R. Martin, Transport Theory (Wiley, New York, 1979).
  14. E. E. Lewis and W. F. Miller, Computational Methods of Neutron Transport (American Nuclear Society, LaGrange Park, Ill., 1993).
  15. K. D. Lathrop and F. W. Brinkley, “twotran sphere: a fortran program to solve the multigroup transport equation in two-dimensional spherical geometry,” Los Alamos Report LA-4567 (Los Alamos Scientific Laboratory, Los Alamos, N. Mex., 1970).
  16. R. Sanchez and N. J. McCormick, “Discrete ordinate solutions for highly forward-peaked scattering,” Ann. Nucl. Energy, submitted for publication.
  17. R. Sanchez, “On the singular structure of the uncollided and first-collided components of the Green’s function,” Ann. Nucl. Energy 27, 1167–1186 (2000).
  18. C. D. Mobley, Light and Water: Radiative Transfer in Natural Waters (Academic, New York, 1994).
  19. N. J. McCormick, “Asymptotic optical attenuation,” Limnol. Oceanogr. 37, 1570–1578 (1992).
  20. T. J. Petzold, “Volume scattering functions for selected ocean waters,” SIO Ref. 72–78 (Scripps Institution of Oceanography, La Jolla, Calif., 1972).
  21. J. W. McLean, J. D. Freeman, and R. E. Walker, “Beam spread function with time dispersion,” Appl. Opt. 37, 4701–4711 (1998).
  22. G. C. Pomraning, “The Fokker-Planck operator as an asymptotic limit,” Math. Models Methods Appl. Sci. 2, 21–36 (1992).
  23. G. C. Pomraning, A. K. Prinja, and J. W. VanDenburg, “An asymptotic model for the spreading of a collimated beam,” Nucl. Sci. Eng. 112, 347–360 (1992).
  24. C. Börgers and E. W. Larsen, “Asymptotic derivation of the Fermi pencil-beam approximation,” Nucl. Sci. Eng. 123, 343–357 (1996).

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