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Availability of an equation to evaluate error by optical path discretization in radiative transfer computation based on the successive order of scattering method

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Abstract

The availability of an equation to evaluate the influence of multiple scattering in the single scattering process corresponding to a layer of arbitrary optical thickness was established. In order to confirm the validity of this equation, the radiance distribution in this layer was computed using a plane–parallel layer model based on the successive order of scattering method. The relative errors in a radiance distribution computed were evaluated as a function of optical thickness by the derived equation. It was shown that this equation provides a theoretical background for determining layer thickness using the plane–parallel layer model.

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Acknowledgments

This study was supported by a Grant-in-Aid for Scientific Research on Priority Areas (No. 21014002). We thank Professor Dr. Kiyoshi Hosono of Tokai University for his constructive suggestions.

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Correspondence to Akihiko Tanaka.

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Tanaka, A., Fujii, M. & Oishi, T. Availability of an equation to evaluate error by optical path discretization in radiative transfer computation based on the successive order of scattering method. J Oceanogr 68, 215–218 (2012). https://doi.org/10.1007/s10872-011-0087-3

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  • DOI: https://doi.org/10.1007/s10872-011-0087-3

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