Ukrainian Journal of Physical Optics 


Number  3, Volume 4,  2003

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Generalized fractional Fourier transform in optical systems
Kozlovskii Yu.M.

Institute for Condensed Matter Physics of the NAS of Ukraine,1 Svientsitskii Str., 79011 Lviv, Ukraine

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We investigate the properties of intensity distribution of the two optical signals, which are shifted and modulated by a plane wave and correspond to the generalized fractional Fourier transform (FFT). The results of analytic and numerical calculations show the possibilities for designing new systems for the processing of information. As an example, the correlator based on the generalized FFT is considered. The domains of the generalized FFT in the practicable optical systems are obtained and analyzed. A principal possibility for the formation and recording of the interference pattern is demonstrated for the case when the images of the FFT, starting from the general form of the cascade matrix, are optically superimposed.

Key words: fractional Fourier transform, fractional correlation, cross shifting, image forming rectangular slit, ambiguity function
PACS: 42.30.K, 42.30.V, 42.79, 42.15.E, 42.25.F

doi 10.3116/16091833/4/3/124/2003

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