Optical Superposition of the Modulated
Images in the Fractional Fourier Transform Domain
1Shovgenyuk M.V., 1Kozlovskii Yu.M., 2Muravsky
L.I., 3Fitio M.V.
1Institute for Condensed Matter Physics
of the NAS of Ukraine,1 Svientsitski str., Lviv 79011, Ukraine
2Karpenko Physico-Mechanical Institute
of the NAS of Ukraine, 5 Naykova str, Lviv 79601, Ukraine
3National University “Lvivska
Politechnica”,12 Bandera str., Lviv 79013, Ukraine
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The general theory of forming the fractional Fouier transform images
of two shifted and the plane wave modulated optical signals is given. Using
this theory, we have shown that the parallel process of both cross shifting
and modulation of the image by plane wave take place, if the fractional
Fouier transform is realized. The principal possibility of the fractional
Fouier transform images optical superposition for an arbitrary value of
the fractional Fouier transform parameter is determined. The
influence of the interference term on forming the FFT conjugate images
is shown. Results of numerical calculations of two optical superimposed
fractional Fouier transform images of rectangular impulses are presented.
Keywords: fractional Fourier transform, fractional correlation, signal
distribution method, rectangular slit, image forming, cross shifting.
PACS: 42.30.K, 42.30.V, 42.79, 42.15.E, 42.25.F
doi 10.3116/16091833/3/2/106/2002
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