title: Airy-Gauss beams and their transformation by paraxial optical systems.
abstract: We introduce the generalized Airy-Gauss (AiG) beams and analyze their propagation through optical systems described by ABCD matrices with complex elements in general. The transverse mathematical structure of the AiG beams is form-invariant under paraxial transformations. The conditions for square integrability of the beams are studied in detail. The model of the AiG beam describes in a more realistic way the propagation of the Airy wave packets because AiG beams carry finite power, retain the nondiffracting propagation properties within a finite propagation distance, and can be realized experimentally to a very good approximation.
authors: Miguel A
authors: MA
authors: Bandres
authors: Julio C
authors: JC
authors: Gutiérrez-Vega