Ray optics regime for Gaussian random spheres
| Autor: | Kari Lumme, K. Muinonen, L. Lamberg, P. Fast |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Physics
Radiation 010504 meteorology & atmospheric sciences Covariance function business.industry Gaussian Paraxial approximation 01 natural sciences Atomic and Molecular Physics and Optics Gaussian random field 010309 optics symbols.namesake Optics 0103 physical sciences symbols Gaussian curvature Gaussian function Statistical physics business Gaussian process Spectroscopy 0105 earth and related environmental sciences Gaussian optics |
| Zdroj: | Journal of Quantitative Spectroscopy and Radiative Transfer. 57:197-205 |
| ISSN: | 0022-4073 |
| DOI: | 10.1016/s0022-4073(96)00127-6 |
| Popis: | We examine the validity regime of the ray optics approximation for Gaussian random spheres. The Gaussian sphere is fully characterized by the mean and the covariance function of the radius. We calculate the first two moments of the total, Gaussian curvature on such particles, and utilize the second moment in establishing the ray optics regime. As an intermediate result, we obtain the 6 × 6 covariance matrix for the logarithmic radius and its first and second partial derivatives with respect to the spherical angles. The results are useful when analysing the applicability of our earlier ray optics computations for ensembles of Gaussian spheres. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect