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Localized Approximation of Generalized Lorenz‐Mie Theory: Faster algorithm for computations of beam shape coefficients, g n m
Author(s) -
Ren Kuan F.,
Gréhan Gérard,
Gouesbet Gérard
Publication year - 1992
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/ppsc.19920090119
Subject(s) - computation , mie scattering , spheres , beam (structure) , symmetry (geometry) , physics , scattering , mathematics , mathematical analysis , optics , light scattering , algorithm , geometry , astronomy
Beam shape coefficients, g n m , are at the core of the generalized Lorenz‐Mie theory describing the scattering of a shaped beam by spheres. A decrease in computation times is essential for systematic applications of the theory. This paper introduces a new formulation to compute beam shape coefficients, g n m , in the framework of the localized approximation and discusses symmetry relations between the coefficients. The new formulation permits computation times to be decreased by one to two orders of magnitude.