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Light Scattering Reviews 8 pp 189–266Cite as

Application of non-orthogonal bases in the theory of light scattering by spheroidal particles

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Abstract

The theory of light scattering by single particles and their ensembles has important applications in various areas of science and technology, e.g. in optics of the atmosphere, radio physics, astrophysics and biophysics as well as in environmental monitoring, analysis of the Earth’s climate changes and so on. So far in such applications one used to employ the Mie theory that provides the solution to the light scattering problem for a sphere (van de Hulst, 1957; Bohren and Huffman, 1983). In this solution the fields are represented by their expansions in terms of vector spherical wave functions that form an orthogonal basis for the problem including the boundary conditions on the spherical particle surface. As a result the Mie solution is rather simple and allows one to extensively apply numerical modelling due to the ease of calculations of the spherical wave functions in a very wide range of parameter values.

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Authors and Affiliations

  1. Department of Applied Mathematics, St. Petersburg University of Aerospace Instrumentation, Bol. Morskaya Street 67, St. Petersburg, 190000, Russia

    Victor Farafonov

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  1. Victor Farafonov
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Correspondence to Victor Farafonov .

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  1. Institute of Environmental Physics, Otto-Hahn-Allee NW 1, Bremen, 28359, Germany

    Alexander A. Kokhanovsky

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Farafonov, V. (2013). Application of non-orthogonal bases in the theory of light scattering by spheroidal particles. In: Kokhanovsky, A. (eds) Light Scattering Reviews 8. Springer Praxis Books(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32106-1_5

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