01-05U

The description of integral transforms such as convolution is given. This trasforms will be utillized at the description of the optical schemes. On the basis of the task on eigenvalues the analytical expression for direct and inverse fractional Fourier transform(FFT) kernel is obtained. The properties of the conjugate images of the FFT are researched and the frequency representation is injected. The different forms of the FFT representation are offered.Is exhibited, that the FFT can be interpreted, as the process of convolution and filtering. On the basis of a method of optical signals the FFT distribution, and conjugate images are constructed. Is placed, that in a point $p=1/2 $ the conjugate images degenerate in self-similar for arbitrary optical signals. The outcomes of numerical calculation of the conjugate images of the rectangular impulse are reduced at different values of the Fresnels number.