title: Scaled fractional Fourier transform and its optical implementation.
abstract: The scaled fractional Fourier transform is suggested and is implemented optically by one lens for different values of phi and output scale. In addition, physically it relates the FRT with the general lens transform-the optical diffraction between two asymmetrically positioned planes before and after a lens.
authors.forename: J
authors.initials: J
authors.lastname: Hua
authors.forename: L
authors.initials: L
authors.lastname: Liu
authors.forename: G
authors.initials: G
authors.lastname: Li