Abstract

There are several ways of performing optical perfect shuffles. One method is to use classical optical components such as lens arrays [1][2], a combination of lenses and prisms [3] and Fresnel mirrors [4], etc.. The shift operations required by the perfect shuffle can be realized by proper spatial arrangement of these components. Another method is to use Fourier optics: by placing an optical spatial filter with a cosine transmittance function in the Fourier transform (F.T.) plane, an optical 4-f system can accomplish the perfect shuffle permutation [5]. In this paper, we propose an alternative method which uses a hologram to perform the 2-D perfect shuffles. It is based on a light efficient one-copy algorithm.

© 1991 Optical Society of America