Integrodifferential model of artificial fractal medium

We consider the geometric and physical aspects that permit introduction of the so-called /spl alpha/-characteristics for studying the behavior of electromagnetic field components in the vicinity of a set of points with fractal properties. The model of charges and /spl alpha/-pole moments for study of spatial properties of plasmoids (the nonuniform fractal filling of some area by clots of the homogeneous plasma) is designed. The own functions and numbers of electromagnetic waves, which propagate in rectangular waveguide with fractal wide walls, have been determined using the apparatus of fractional integro-differential calculus.