Comment on "The Fractional Fourier Transform in Optical Propagation Problems"

Although their mathematical forms apparently resemble each other, the diffraction integral and the fractional Fourier transformation (FRT) have completely different physical meanings. We point out that an interpretation of the FRT given in the paper Alieva et al (J. Mod. Opt. 41, 1037, 1994) is not p[hysically appropriate. We then show how these integral transformations can be treated in a unified way within the framework of the special affine Fourier transformation (SAFT). Finally the multidimensional FRT presented in the above paper is further generalised to allow n indipendent fractional degrees.

ABE Sumiyoshi;  SHERIDAN John; 

1996-04-16

JRC13093

https://publications.jrc.ec.europa.eu/repository/handle/JRC13093,