Analytic phase function for ocean water

Georges R. Fournier; J. Luc Forand

doi:10.1117/12.190063

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26 October 1994 Analytic phase function for ocean water

Georges R. Fournier, J. Luc Forand

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Proceedings Volume 2258, Ocean Optics XII; (1994) https://doi.org/10.1117/12.190063
Event: Ocean Optics XII, 1994, Bergen, Norway

Abstract

Using a modified form of the anomalous diffraction approximation we have been able to derive in closed form an analytic expression for the phase function of Mie scatterers integrated over an inverse power law (Junge) size distribution. The analysis explains the apparent singularity seen experimentally at the forward scattering angle. Simple relationships are also derived that relate the inverse power law as a function of scattering angle in the near forward direction to the power law of the size distribution. The parameters of the formula are the relative index of refraction and the inverse power of the size distribution. A comparison is given between the analytic formula and exact integration of the Mie scattering for spheres. This new phase function is used in the analysis of forward angle transmissometer- nephelometer data collected by DREV in the Arctic, Atlantic, and Pacific.

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Georges R. Fournier and J. Luc Forand "Analytic phase function for ocean water", Proc. SPIE 2258, Ocean Optics XII, (26 October 1994); https://doi.org/10.1117/12.190063

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