The characteristics and properties of fractional Fourier transforms of an arbitrary degree, as implemented by a lens system, are presented. We describe the perfect imaging process and implement it by cascading a set of appropriate fractional-Fourier-transform elementary units of integer and/or fractional degree, forming generalized afocal systems.
© 1994 Optical Society of America
Luíis M. Bernardo and Oliverio D. D. Soares, "Fractional Fourier transforms and imaging," J. Opt. Soc. Am. A 11, 2622-2626 (1994)