title: Properties of the linear canonical integral transformation.
abstract: We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.
authors.affiliation: Universidad Complutense de Madrid, Facultad de Ciencias Físicas, Ciudad Universitaria s/n, Madrid 28040, Spain.
authors.forename: Tatiana
authors.initials: T
authors.lastname: Alieva
authors.forename: Martin J
authors.initials: MJ
authors.lastname: Bastiaans