## Abstract

Ocean color is determined by spectral variations in reflectance at
the sea surface, which in turn result from both elastic and inelastic
processes. We extend an elastic-scattering model of sea surface
reflectance to deal with Raman scattering, which is an inelastic
process. The analytic solutions are derived for a vertically
homogeneous and optically deep water column. The model presented
here is based on the quasi-single-scattering approximation of Gordon
[Appl. Opt. **12**, 2803 (1973)] and is an extension of
the model of Sathyendranath and Platt [Appl. Opt. **36**, 2620
(1997)]. The Raman-scattering model includes a first-order
Raman-scattering term and four second-order terms. Two of the
second-order terms result from a combination of an elastic and a
Raman-scattering event, whereas the other two second-order terms result
from two Raman-scattering events. We show that the contribution to
reflectance from these last two terms is typically of the order of 1%
of the first-order Raman-scattering term. Therefore these terms and
higher-order terms can be neglected for most applications. Issues
related to the implementation of the model are discussed, with special
reference to remote-sensing applications. Results from the analytic
model are compared with Monte Carlo simulations of reflectance at the
sea surface.

© 1998 Optical Society of America

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