Ray optics regime for Gaussian random spheres.

Details Ray optics regime for Gaussian random spheres. Ray optics regime for Gaussian random spheres.

Feb 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997jqsrt..57..197m&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 57, issue 2, pp. 197-205

Statistics

Computation

8

Radiative Transfer: Scattering

Scientific paper

The authors 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. The authors 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, they 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 the authors' earlier ray optics computations for ensembles of Gaussian spheres.

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