The principles of invariance form the foundation of the study of irradiance fields in the sea. By review of the existing theory, it is shown how these principles may be applied to imbedded layers to derive complete reflectance and transmittance factors for the containing layer. These complete factors in turn yield the desired irradiance fields. They are also used to develop local invariance principles and the associated local transmittance and reflectance factors. Differential equations for reflectance and transmittance are developed, based on these local factors, and in turn are used in numerical computations of the re- flectance and transmittance factors for arbitrarily deep layers of water. Boundary conditions on the upper and lower surfaces of the layer are chosen so that the complete reflectance and the complete transmittance factors generate the irradiances of the appropriate light field. Numerical computations are based on real data for eight natural media. To study the dependence of the light field on extreme cases of the optical properties, two hypothetical cases are also
considered.
| Identifer | oai:union.ndltd.org:nps.edu/oai:calhoun.nps.edu:10945/15183 |
| Date | 06 1900 |
| Creators | Crisp, Marvin Howard |
| Contributors | Mathematics |
| Publisher | Monterey California. Naval Postgraduate School |
| Source Sets | Naval Postgraduate School |
| Language | en_US |
| Detected Language | English |
| Type | Thesis |
Page generated in 0.0012 seconds