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Optical properties of spheroidal particles

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Abstract

A new exact solution of the diffraction problem for the homogeneous spheroid on the basis of the method of separation of variables is given. This solution is considerably more efficient than the one of Asano and Yamamoto from the computational point of view. The expressions for various characteristics of the scattered radiation are obtained. The radiation pressure on spheroidal particles is considered taking into account the radial and transversal components. The method of calculations and various tests, which were used to control the computer programs, are described. Numerical results for forward and arbitrary angles scattering by prolate and oblate spheroids with the refractive indices typical for ice and silicates are presented. The dependence of the results on the propagation direction and the polarization of the incident radiation, size of particle and its aspect ratio are examined. The asymptotics for the characteristics of the scattered radiation for the extremely prolate and extremely oblate spheroids are derived. The range of the validity of these approximations is studied. Astrophysical applications include: a) the calculations of the interstellar extinction, interstellar linear and circular polarization curves for the ensemble of partially oriented spheroidal grains, and b) the consideration of the profiles and polarization of the interstellar feature λ 2200 for the partially oriented graphite spheroids. Appendices contain the expressions for integrals of products of the angular spheroidal functions and the asymptotics for the oblate spheroidal functions.

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Authors and Affiliations

  1. Astronomical Observatory, St. Petersburg University, St. Petersburg, Russia

    N. V. Voshchinnikov

  2. St. Petersburg Institute of Aircraft Devices Construction, St. Petersburg, Russia

    V. G. Farafonov

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  1. N. V. Voshchinnikov
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  2. V. G. Farafonov
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Voshchinnikov, N.V., Farafonov, V.G. Optical properties of spheroidal particles. Astrophys Space Sci 204, 19–86 (1993). https://doi.org/10.1007/BF00658095

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