Abstract: The fractional Fourier transform (FrFT) is used for the solution of the diffraction integral in optics. A scanning approach is proposed for finding the optimal FrFT order. In this way, the process of diffraction computing is speeded up. The basic algorithm and the intermediate results at each stage are demonstrated.

Key words: Fresnel diffraction, fractional Fourier-transform

ACM Classification Keywords: G.1.2 Fast Fourier transforms (FFT)

Link:

AN ALGORITHM FOR FRESNEL DIFFRACTION COMPUTING BASED ON FRACTIONAL FOURIER TRANSFORM

Georgi Stoilov

http://www.foibg.com/ijitk/ijitk-vol01/ijitk01-2-p14.pdf