Optics and Spectroscopy

, Volume 109, Issue 3, pp 432–443 | Cite as

Near- and far-field light scattering by nonspherical particles: Applicability of methods that involve a spherical basis

  • V. G. Farafonov
  • V. B. Il’inEmail author
  • A. A. Vinokurov
Physical Optics


The separation of variables method for coordinate system, the extended boundary condition method, and the point-matching method that are used to solve the problem of light scattering by nonspherical particles are considered from a unified viewpoint. It is shown that, if the mathematical correctness condition (the Rayleigh hypothesis) holds, these methods are interrelated and are equivalent. The applicability ranges of the methods in the near- and far-field zones are analyzed, discussed, and compared on both analytical (based on analytical investigations) and practical (based on numerical calculations) grounds.


Scattered Radiation Scattered Field Axisymmetric Problem Nonspherical Particle Field Zone 
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Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • V. G. Farafonov
    • 1
  • V. B. Il’in
    • 1
    • 2
    • 3
    Email author
  • A. A. Vinokurov
    • 1
    • 2
  1. 1.St. Petersburg State University of Aerospace InstrumentationSt. PetersburgRussia
  2. 2.Pulkovo Astronomical ObservatoryRussian Academy of SciencesSt. PetersburgRussia
  3. 3.St. Petersburg State UniversitySt. PetersburgRussia

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