Are there relationship (mathematical model) between refractive index of water and wavelength of light that propagate in the water,
or refractive index of water and distance (not optical path),
or refractive index of water and received signal power for underwater optical wireless communication.
M. Daimon and A. Masumura. Measurement of the refractive index of distilled water from the near-infrared region to the ultraviolet region, Appl. Opt. 46, 3811-3820 (2007)
Reported with 4-term Sellmeir-type dispersion formula.here: http://refractiveindex.info/?shelf=main&book=H2O&page=Daimon-19.0C
Results by Hale & Querry include attenuation and refractive index interpolated over a wider wavelength range: http://refractiveindex.info/?shelf=main&book=H2O&page=Hale
G. M. Hale and M. R. Querry. Optical Constants of Water in the 200-nm to 200-µm Wavelength Region, Appl. Opt. 12, 555-563 (1973)
Infrared light (1,06 microns) is absorbed in e of times through 6 centimeters, red through 1, 5 meters, green through 400 meters. Please watch our works on "Svetoakustika" with G. Askaryan. The refraction differs in insignificant.