title: Factorization of products of discontinuous functions applied to Fourier-Bessel basis.
abstract: The factorization rules of Li [J. Opt. Soc. Am. A 13, 1870 (1996)] are generalized to a cylindrical geometry requiring the use of a Bessel function basis. A theoretical study confirms the validity of the Laurent rule when a product of two continuous functions or of one continuous and one discontinuous function is factorized. The necessity of applying the so-called inverse rule in factorizing a continuous product of two discontinuous functions in a truncated basis is demonstrated theoretically and numerically.
authors.affiliation: Institut Fresnel, Case 161, Unité Mixte de Recherche (UMR 6133), Faculté des Sciences et Techniques de St.-Jérôme, 13397 Marseille Cedex 20, France. e.popov@fresnel.fr
authors.forename: Evgeny
authors.initials: E
authors.lastname: Popov
authors.forename: Michel
authors.initials: M
authors.lastname: Nevière
authors.forename: Nicolas
authors.initials: N
authors.lastname: Bonod