Now showing 1 - 2 of 2
  • Publication
    Fast linear canonical transforms
    (Optical Society of America, 2010-01-01) ;
    The linear canonical transform provides a mathematical model of paraxial propagation though quadratic phase systems. We review the literature on numerical approximation of this transform, including discretization, sampling, and fast algorithms, and identify key results. We then propose a frequency-division fast linear canonical transform algorithm comparable to the Sande–Tukey fast Fourier transform. Results calculated with an implementation of this algorithm are presented and compared with the corresponding analytic functions.
    Scopus© Citations 81  1129
  • Publication
    Digital computation of the complex linear canonical transform
    An efficient algorithm for the accurate computation of the linear canonical transform with complex transform parameters and with complex output variable is presented. Sampling issues are discussed and the requirements for different cases given. Simulations are provided to validate the results.
    Scopus© Citations 11  594