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Interaction Between Shaped Beams and an Infinite Cylinder, including a discussion of Gaussian beams
Author(s) -
Gouesbet Gérard,
Gréhan Gérard
Publication year - 1994
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.19940110405
Subject(s) - gaussian , separable space , scalar (mathematics) , cylinder , gaussian beam , beam (structure) , physics , classical mechanics , mathematics , mathematical analysis , optics , quantum mechanics , geometry
The theory of interaction between a shaped beam and an infinite cylinder arbitrarily located in it is presented. The same approach as for the generalized Lorenz‐Mie theory is first used. In particular, variable separability is assumed in solving the wave equation. The special case of Gaussian beams, however, implies that, unexpectedly, a special class of non‐separable scalar potentials is required for some kinds of beams.