A method was developed for determining the spatial distribution of a s
ource from downward and upward irradiance measurements at a single wav
elength in seawater of known optical properties. The algorithm uses me
asurements at two depths located an arbitrary distance apart and solve
s two nonlinear equations for two parameters that fit a globally expon
ential or linear source shape. Complex spatially dependent source shap
es can be estimated from an irradiance profile by piecing together est
imates from neighboring measurement pairs. Numerical tests illustrate
the sensitivity of the algorithm to depth, measurement spacing, chloro
phyll concentration, sensor noise, and uncertainty in the a priori ass
umed inherent optical properties. The algorithm works well with widely
spaced measurements, moderate sensor noise, and uncertainties in the
optical properties regardless of whether the assumed and true profiles
are the same shape. (C) 1998 Optical Society of America.