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The Localized Approximation and Localized Beam Models

  • Gérard Gouesbet
  • Gérard Gréhan

Abstract

Beside more or less classical mathematical functions, numerical computations for GLMT require accurate enough computations of BSCs \(g_{n}^{m}\) or g n describing the incident beam. These BSCs may be in fact, at least in some cases, experimentally evaluated on an actual beam in a laboratory [328], [329], [330], [331], [332], [333] but, in this book, we mostly discuss the evaluation of BSCs from a priori, or better said assumed, known mathematical descriptions of the incident beam. Then, because a huge amount of BSCs must be evaluated before assembling GLMT-series, much effort has been devoted to the development of efficient schemes and algorithms. This chapter is devoted to the most efficient technique available up to now, namely the localized approximation relying on a localized interpretation of the BSCs, and leading to the construction of localized beam models exactly satisfying Maxwell’s equations.

Keywords

Gaussian Beam Localize Approximation Scatter Center Beam Shape Arbitrary Location 
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 2011

Authors and Affiliations

  • Gérard Gouesbet
    • Gérard Gréhan

      There are no affiliations available

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