Listar por tema "Fractional Fourier transforms"

Mostrando ítems 1-5 de 5

    • Chirp-wave expansion of the electron wavefunctions in atoms 

      Torres, E.; Torres, R. (2014)
      The description of the electron wavefunctions in atoms is generalized to the fractional Fourier series. This method introduces a continuous and infinite number of chirp basis sets with linear variation of the frequency to ...

    • Designing Fresnel microlenses for focusing astigmatic multi-Gaussian beams by using fractional order Fourier transforms 

      Patiño Vanegas, Alberto; Durand, P.E.; Fogret, É.; Pellat-Finet, P. (Institute of Physics Publishing, 2011)
      According to a scalar theory of diffraction, light propagation can be expressed by two-dimensional fractional order Fourier transforms. Since the fractional Fourier transform of a chirp function is a Dirac distribution, ...

    • Diffuser in Fractional Fourier Optics 

      Patiño Vanegas, Alberto; Durand, P.E.; Pellat-Finet P.; Torres R. (OSA - The Optical Society, 2016)
      We propose a method for calculating a bandlimited diffuser with smooth spectrum in the Fresnel domain without any 2p phase ambiguities using the fractional Fourier transform. Such diffusers are necessary to avoid problems ...

    • Fractional sampling theorem for -bandlimited random signals and its relation to the von neumann ergodic theorem 

      Torres R.; Lizarazo Z.; Torres E. (Institute of Electrical and Electronics Engineers Inc., 2014)
      Considering that fractional correlation function and the fractional power spectral density, for -stationary random signals, form a fractional Fourier transform pair. We present an interpolation formula to estimate a random ...

    • α-bandlimited diffuser in fractional Fourier optics 

      Patiño Vanegas, Alberto; Durand, P.E.; Torres R.; Pellat-Finet P. (SPIE, 2016)
      We propose a method for calculating appropriate α-band limited diffusers using the fractional Fourier transform. In order to do this, we implement a method for performing a numerical interpolation in the fractional Fourier ...

      Universidad Tecnológica de Bolívar - 2017 Institución de Educación Superior sujeta a inspección y vigilancia por el Ministerio de Educación Nacional. Resolución No 961 del 26 de octubre de 1970 a través de la cual la Gobernación de Bolívar otorga la Personería Jurídica a la Universidad Tecnológica de Bolívar.