Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators

Cataloged from PDF version of article.The complex amplitude distributions on two spherical reference surfaces of given curvature and spacing are simply related by a fractional Fourier transform. The order of the fractional Fourier transform is proportional to the Gouy phase shift between the two surfaces. This result provides new insight into wave propagation and spherical mirror resonators as well as the possibility of exploiting the fractional Fourier transform as a mathematical tool in analyzing such systems

N-dimensional Fractional Fourier Transform and its Eigenvalues and Eigenfunctions

In this paper, we have  established the N- dimentional fractional Fourier transform and its mathematical expression in a easier manner and discus the  eigenvalues and eigenfunctions of   -dimensional fractional Fourier transform

Fractional Fourier Transform- Simulations and experimental results

Cataloged from PDF version of article.Recently two optical interpretations of the fractional Fourier transform operator were introduced. We address implementation issues of the fractional-Fourier-transform operation. We show that the original bulk-optics configuration for performing the fractional-Fourier-transform operation 3J. Opt. Soc. Am. A 10, 2181 1199324 provides a scaled output using a fixed lens. For obtaining a non-scaled output, an asymmetrical setup is suggested and tested. For comparison, computer simulations were performed. A good agreement between computer simulations and experimental results was obtained