Statistics – Computation
Scientific paper
Nov 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...399..164x&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 399, no. 1, p. 164-175.
Statistics
Computation
6
Computational Astrophysics, Interstellar Extinction, Interstellar Matter, Spheres, Cosmic Dust, Hilbert Transformation, Numerical Integration
Scientific paper
Results of an investigation of the analyticity of the complex extinction efficiency Q-tilde(ext) in different parameter domains are presented. In the size parameter domain, x = omega(a/c), numerical Hilbert transforms are used to study the analyticity properties of Q-tilde(ext) for homogeneous spheres. Q-tilde(ext) is found to be analytic in the entire lower complex x-tilde-plane when the refractive index, m, is fixed as a real constant (pure scattering) or infinity (perfect conductor); poles, however, appear in the left side of the lower complex x-tilde-plane as m becomes complex. The computation of the mean extinction produced by an extended size distribution of particles may be conveniently and accurately approximated using only a few values of the complex extinction evaluated in the complex plane.
Greenberg Mayo J.
Xing Zhang-Fan
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