The Mie and Rayleigh-Debye theories of homogeneous spheres are reformulated in terms of Gegenbauer functions to allow a comparison between the two treatments in the Rayleigh-Debye limit. This leads to reduced Mie equations that are valid for all particle sizes, whereas the Rayleigh-Debye equations are restricted to an outer size parameter {α}1. The application of Gegenbauer analysis of experimental patterns is discussed and the possibility of pattern inversion is examined.
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Ludlow et al. (1995) studied this question.
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