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The introduction of the so-called α-forms for studying the behavior of electromagnetic field components in the vicinity of antennas with fractal properties is considered. To estimate the α-forms, some possible algorithms are formulated, namely a geometric one involving the evaluation of the Hausdorff measure and an analytical algorithm permitting the Hausdorff measure to be evaluated through the application of fractional derivatives and integrals. Far-field patterns of the fractal α-pole antennas are calculated.

fractal antenna; Hausdorff measure; differ-integral; Maxwell equations; vector potential; scalar potential; Green's function; radiation pattern