New class of atomic-fractal functions and their applications [antenna theory]

For the first time, some problems connected with methods of fractal approximation with the use of atomic functions are considered in this report. The work consists of four main parts. In the first, the basic description of the theory of fractal measure and fractal nondifferentiable functions are presented. The second part is devoted to main classes of atomic functions. Different combinations of atomic-fractal functions are discussed in the third part. Finally, examples, of atomic-fractal antenna synthesis in the millimeter waveband are demonstrated.