title: Additional sampling criterion for the linear canonical transform.
abstract: The linear canonical transform describes the effect of first-order quadratic phase optical systems on a wave field. Several recent papers have developed sampling rules for the numerical approximation of the transform. However, sampling an analog function according to existing rules will not generally permit the reconstruction of the analog linear canonical transform of that function from its samples. To achieve this, an additional sampling criterion has been developed for sampling both the input and the output wave fields.
authors.affiliation: Optoelectronic Research Centre, School of Electrical, Electronic and Mechanical Engineering, University College Dublin, Dublin, Ireland.
authors.forename: John J
authors.initials: JJ
authors.lastname: Healy
authors.forename: Bryan M
authors.initials: BM
authors.lastname: Hennelly
authors.forename: John T
authors.initials: JT
authors.lastname: Sheridan