Document Type

Conference Proceeding

Publication Title

Proceedings of SPIE - the International Society for Optical Engineering


An analytical solution to the two-flow equations developed by Bostater, et al. is modified, and a sensitivity analysis is performed on the remote sensing model which contains both diffuse and specular light components. The resulting model simulates the solution to two different cases of the two- flow equations. The Case I model uses the two-flow irradiance equations where sub-surface collimated or specular irradiance is evaluated implicitly. All of the irradiance is assumed to become completely diffuse when it enters the water column. The Case II model uses equations that explicitly include collimated irradiance in the water column. Both models are simulated in three different ways in this paper based on the vertical distribution of the constituents in the water column. The concentrations of the water quality parameters can be assumed (a) constant with depth, (b) divided into three distinct layers with different concentrations in each layer, or (c) divided into n layers of differing concentrations. The solutions to the two-flow equations with and without the specular, collimated irradiance and assuming a uniform water column, are given by Bostater et. a. This paper focuses on the derivation of the layered Case I and II models, a sensitivity analysis performed on the Case II model coefficients, and comparisons of the output from the differing model assumptions are presented.

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