Study of optical field diffracted by multifractals

Diffraction of radiation by the Canter set based multifractals is studied. The connection between the dimension of an object's supporting fractal and its level is searched for, as well as one between the multifractal's construction parameter, singularity spectra, and asymmetry parameters of its diffraction pattern. It has been shown that the singularity spectrum has a maximum whose position depends on the object's supporting fractal dimension. At the same time, a singularity spectrum's half-width and near-field intensity asymmetry coefficient ought to be acceptable for evaluation of the object construction ratio parameter, and the magnitude of the asymmetry coefficient at the saturation zone depends on the level of the object's supporting fractal.