Wigner distribution and fractional Fourier transform for two-dimensional symmetric optical beams

Tatiana Alieva and Martin J. Bastiaans

A useful relationship between the fractional Fourier transform power spectra of a two-dimensional symmetric optical beam on the one hand and its Wigner distribution on the other is established. This relationship allows a significant simplification of the standard procedure for the reconstruction of the Wigner distribution from the field intensity distributions in the fractional Fourier domains. The Wigner distribution of a symmetric optical beam is analyzed, both in the coherent and in the partially coherent case.

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To: Papers by Martin J. Bastiaans