title: Hankel-Bessel laser beams.
abstract: An analytical solution of the scalar Helmholtz equation to describe the propagation of a laser light beam in the positive direction of the optical axis is derived. The complex amplitude of such a beam is found to be in direct proportion to the product of two linearly independent solutions of Kummer's differential equation. Relationships for a particular case of such beams-namely, the Hankel-Bessel (HB) beams-are deduced. The focusing of the HB beams is studied.
authors.affiliation: Laser Measurements Laboratory, Image Processing Systems Institute of the Russian Academy of Sciences, 151 Molodogvardejskaya Street, Samara 443001, Russia.
authors.forename: Victor V
authors.initials: VV
authors.lastname: Kotlyar
authors.forename: Alexey A
authors.initials: AA
authors.lastname: Kovalev
authors.forename: Victor A
authors.initials: VA
authors.lastname: Soifer