Abstract

The effect of the fractional Fourier transform on homogeneous functions is discussed. The fractional Fourier transform is used for the determination of the main parameters of fractals. An application is made to the Mandelbrot–Weierstrass cosine fractal. The results are applied to describe the propagation of a fractal field through quadratic refractive-index media and to determine its fractal dimension.

© 1996 Optical Society of America

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