We solve an inverse problem of ocean optics for estimating spatially d
ependent absorption and scattering coefficients and for determining so
urces such as fluorescence, bioluminescence, or Raman scattering. The
solution requires in situ measurement of the downward and upward plane
irradiances and scalar irradiances and a priori estimation of the ang
ular shape of the volume scattering function. Both an explicit algorit
hm and an implicit one are developed from new two-stream radiative-tra
nsfer equations that utilize an asymptotic radiance approximation to c
lose the set of equations. A comparison of numerical tests for the two
algorithms is given.