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Light scattering by particles with boundary symmetries

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Light Scattering Reviews 3

Part of the book series: Springer Praxis Books ((ENVIRONSCI))

Abstract

Symmetries are frequently exploited in physics to simplify the mathematical description of nature. For instance, the idealised concept of a point source in Newton’s law of gravity or in Coulomb’s law yields a simple, radially symmetric force field ∼ 1/r2. The isotropy of space in such a force field entails a dynamic symmetry, namely conservation of angular momentum. The point-source concept constitutes a drastic simplification compared to the source distributions encountered in nature. In spite of that, it has been highly successful for three reasons. First, the anisotropic field from a general source distribution can be represented by superposition of the fields of individual point sources, which can be expressed as a multipole expansion. Second, viewed from a large distance from the source distribution, the field is approximated with sufficient accuracy by the field of a point source, since the higher-order multipole terms can be neglected and only the monopole term survives. Third, nearly-spherical source distributions, for which the higher-order multipole terms are small even in the near field, are frequently encountered in nature, e.g. in planetary sciences.

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Authors and Affiliations

  1. Swedish Meteorological, Hydrological Institute, Folkborgsvägen 1, S-601 76, Norrköping

    Michael Kahnert

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  1. Michael Kahnert
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Editors and Affiliations

  1. Institute of Environmental Physics, University of Bremen, Bremen, Germany

    Alexander A. Kokhanovsky

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© 2008 Praxis Publishing Ltd, Chichester, UK

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Kahnert, M. (2008). Light scattering by particles with boundary symmetries. In: Kokhanovsky, A.A. (eds) Light Scattering Reviews 3. Springer Praxis Books. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48546-9_3

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