ON THE FEASIBILITY OF DIAGNOSTICS OF ONE-DIMENSIONAL AMPLITUDE FRACTALS

Diffraction of laser radiation by Canter fractals is studied. Dimensio nal parameters of an object and its diffraction field are compared. Th e field's dimension is estimated using the correlation dimension of ch aos. It is shown that the correlation exponent is usable for the evalu ation of the complexity of optical fields diffracted by the fractals. An empirical relation among the correlation exponent, fractal level an d fractal dimension is obtained. A self-similarity in the dependences of the correlation exponent on the distance of observation is discover ed for Cantor bars of all levels.