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Light influenced by the turbulent ocean can be fully characterized with thehelp of the power spectrum of the water's refractive index fluctuations,resulting from the combined effect of two scalars, temperature and salinityconcentration advected by the velocity field. The Nikishovs' model [ FluidMech. Res. 27, 8298 (2000)] frequently used in the analysis of light evolutionthrough the turbulent ocean channels is the linear combination of thetemperature spectrum, the salinity spectrum and their co-spectrum, each beingdescribed by an approximate expression developed by Hill [ J. Fluid Mech. 88,541562 (1978)] in the first of his four suggested models. The fourth of theHill's models provides much more precise power spectrum than the first oneexpressed via a non-linear differential equation that does not have aclosed-form solution. We develop an accurate analytic approximation to thefourth Hill's model valid for Prandtl/Schmidt numbers in the interval [3, 3000]and use it for the development of a more precise oceanic power spectrum. Toillustrate the advantage of our model, we include numerical examples relatingto the spherical wave scintillation index evolving in the underwater turbulentchannels with different average temperatures, and, hence, different Prandtlnumbers for temperature and different Schmidt numbers for salinity. Since ourmodel is valid for a large range of Prandtl number (or/and Schmidt number), itcan be readily adjusted to oceanic waters with seasonal or extreme averagetemperature and/or salinity or any other turbulent fluid with one or severaladvected quantities.

Wide-range Prandtl/Schmidt number power spectrum of optical turbulence and its application to oceanic light propagation