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Applied Optics

Applied Optics


  • Vol. 32, Iss. 24 — Aug. 20, 1993
  • pp: 4610–4617

Effect of volume-scattering function on the errors induced when polarization is neglected in radiance calculations in an atmosphere–ocean system

Charles N. Adams and George W. Kattawar  »View Author Affiliations

Applied Optics, Vol. 32, Issue 24, pp. 4610-4617 (1993)

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We have developed a Monte Carlo program that is capable of calculating both the scalar and the Stokes vector radiances in an atmosphere–ocean system in a single computer run. The correlated sampling technique is used to compute radiance distributions for both the scalar and the Stokes vector formulations simultaneously, thus permitting a direct comparison of the errors induced. We show the effect of the volume-scattering phase function on the errors in radiance calculations when one neglects polarization effects. The model used in this study assumes a conservative Rayleigh-scattering atmosphere above a flat ocean. Within the ocean, the volume-scattering function (the first element in the Mueller matrix) is varied according to both a Henyey–Greenstein phase function, with asymmetry factors G = 0.0, 0.5, and 0.9, and also to a Rayleigh-scattering phase function. The remainder of the reduced Mueller matrix for the ocean is taken to be that for Rayleigh scattering, which is consistent with ocean water measurements.

© 1993 Optical Society of America

Original Manuscript: May 18, 1992
Published: August 20, 1993

Charles N. Adams and George W. Kattawar, "Effect of volume-scattering function on the errors induced when polarization is neglected in radiance calculations in an atmosphere–ocean system," Appl. Opt. 32, 4610-4617 (1993)

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  1. C. N. Adams, G. W. Kattawar, “Solutions of the equations of radiative transfer by an invariant imbedding approach,” J. Quant. Spectrosc. Radiat. Transfer 10, 341–366 (1970). [CrossRef]
  2. G. W. Kattawar, C. N. Adams, “Stokes vector calculations of the submarine light field in an atmosphere-ocean with scattering according to a Rayleigh phase matrix: effect of interface refractive index on the radiance and polarization,” Limnol. Oceanogr. 34, 1463–1472 (1989). [CrossRef]
  3. G. W. Kattawar, C. N. Adams, “Errors in radiance calculations induced by using scalar rather than Stokes vector theory in a realistic atmosphere-ocean system,” in Ocean Optics X, R. W. Spinrad, ed., Proc. Soc. Photo-Opt. Instrum. Eng.1302, 2–12 (1990).
  4. A. T. Young, “Rayleigh scattering,” Appl. Opt. 4, 633–636 (1981).
  5. A. T. Young, “Rayleigh scattering,” Phys. Today 35(1), 2–8 (1982). [CrossRef]
  6. K. J. Voss, E. S. Fry, “Measurement of the Mueller matrix for ocean water,” Appl. Opt. 23, 4427–4439 (1984). [CrossRef] [PubMed]

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