Laser diffraction by randomized Koch fractals

Some properties of diffraction patterns produced by randomized triadic Koch curves are investigated. Randomization is realized by employing Gaussian random numbers for the values of parameters specifying the arrangements of the line segments in a generator of Koch curves. Laser diffraction experiments were performed using the randomized fractals as objects. It is shown that only a slight deviation from the regularity of object fractals causes a considerable degree of randomization in their diffraction patterns. For a sufficient degree of randomization, the diffraction patterns become speckle patterns of unusual appearance. Angular-average intensity distributions obtained experimentally change gradually from a function with many peaks to a relatively smooth function with an increase of randomness of the object fractals. For a sufficiently random object, the angular-average intensity takes the form of the power law as expected.