title: Model for an anomalous hollow beam and its paraxial propagation.
abstract: A theoretical model is proposed to approximately describe an anomalous hollow beam of elliptical symmetry with an elliptical solid core, which was observed in experiment recently [Phys. Rev. Lett.94, 134802 (2005)]. Expressions for the propagation factor and effective beam spot size for the anomalous hollow beam are derived. Based on the Collins integral formula, an analytical propagation formula for the anomalous hollow beam passing through a paraxial ABCD optical system is derived. The propagation properties in free space are studied graphically.
authors.affiliation: Max-Planck Research Group, Institute of Optics, Information and Photonics, University of Erlangen, Germany. yangjian_cai@yahoo.com.cn
authors.forename: Yangjian
authors.initials: Y
authors.lastname: Cai