OPTICAL ILLUSTRATION OF A VARIED FRACTIONAL FOURIER-TRANSFORM ORDER AND THE RADON-WIGNER DISPLAY

摘要

Based on an all-optical system, a display of a fractional Fourier transform with many fractional orders is proposed. Because digital image-processing terminology is used, this display is known as the Radon-Wigner transform. It enables new aspects for signal analysis that are related to time- and spatial-frequency analyses. The given approach for producing this display starts with a one-dimensional input signal although the output signal contains two dimensions. The optical setup for obtaining the fractional Fourier transform was adapted to include only fixed free-space propagation distances and variable lenses. With a set of two multifacet composite holograms, the Radon-Wigner display has been demonstrated experimentally. (C) 1996 Optical Society of America [References: 12]