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Abstract vA;ml$
We present a short overview on the application of fractional cyclic and linear canonical transformations to optical signal processing and dedicate some of the discussions to the particular features found in the fractional Fourier transform domain. 'O
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1. Introduction leg@ia
Almost forty years ago, Anthony Van der Lugt initiated, with his pioneering work on optical filtering and optical signal processing, an epoque of expansion of Fourier Optics. DU({Ncg e
Essentially he introduced for the first time a new configuration for optical data processing, the so called optical correlator and later named Van der Lugt correlator, [1]. The optical correlation operation is based upon the capacity of a convergent lens to perform an operation proportional to the Fourier Transform, in two dimensions, of a particular object, so that this response is located at the real back focal plane of the lens. By now from various decades analogical optical processors, joint transforms correlators, correlators with space and time integration, adapted filters, etc. are extensively used, [2]. Other tools for signal processing such as wavelets and bilinear distributions are optically implemented as well, [3]. q~_Nv5 r%O
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