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Multipole Expansions and Transition Matrix

  • Ferdinando Borghese
  • Paolo Denti
  • Rosalba Saija
Chapter
  • 93 Downloads
Part of the Physics of Earth and Space Environments book series (EARTH)

Abstract

The theory in Chap. 2 yields a number of useful relations but gives no prescription for calculating the quantities of interest. In this chapter we use the theory of the multipole fields to establish equations that are suitable for actual calculations. In fact, by expanding both the incident and the scattered field in a series of spherical vector multipole fields, one is lead to introduce the transition matrix that proved to be one of the most fruitful concepts in the theory of scattering. Beyond encompassing all the information on the morphology and on the orientation of the scattering particle with respect to the incident field, the transition matrix has well-defined transformation properties under rotation of the coordinate frame. These properties will be shown to be the key tool for the description of the propagation of light through an assembly of nonspherical particles.

Keywords

Transition Matrix Electrostatic Field Scattered Field Polarizability Tensor Incident Field 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Ferdinando Borghese
    • 1
  • Paolo Denti
    • 1
  • Rosalba Saija
    • 1
  1. 1.Dipartimento di Fisica della Materia e Tecnologie Fisiche AvanzateUniversità di MessinaMessinaItaly

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