Electromagnetic radiation of charges with fractal distribution

The radiation of charges with fractal distributions is studied in the framework of classical electrodynamics. The properties of the form factork(x) of the density of the fractal distribution are investigated. It is shown that the nature of the decrease of the averaged square of the form factor modulus with increasing wave vectorx of the radiation is determined by the dimension D of the fractal distribution of the charge: ¦k(x)¦^2–D .Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 111–116, January, 1992.The author thanks Professor V. G. Bagrov for a helpful discussion of the questions considered in this paper.