Y. Zhang et al., BEAM SHAPING IN THE FRACTIONAL FOURIER-TRANSFORM DOMAIN, Journal of the Optical Society of America. A, Optics, image science,and vision., 15(5), 1998, pp. 1114-1120
A new design approach for the diffractive phase elements (DPE's) that
implement beam shaping in the fractional Fourier transform (FRFT) doma
in is presented. The new algorithm can successfully achieve the design
of DPE's for beam shaping in both unitary and nonunitary transform sy
stems. The unitarity transform condition of the FRFT domain is discuss
ed. Modeling designs of the DPE's are carried out for several fraction
al orders and different parameters of the beam for converting a Gaussi
an profile into a uniform beam. Our approach can realize beam shaping
well for a nonunitary transform system in the FRFT domain. (C) 1998 Op
tical Society America.